25 results on '"ROBUST control"'
Search Results
2. Further improvement on delay-range-dependent robust absolute stability for Lur׳e uncertain systems with interval time-varying delays.
- Author
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Liu, Pin- Lin
- Subjects
TIME delay systems ,ROBUST control ,STABILITY theory ,UNCERTAINTY (Information theory) ,TIME-varying systems - Abstract
This paper investigates improved delay-range-dependent robust absolute stability criteria for a class of Lur׳e uncertain systems with interval time-varying delays. By using delayed decomposition approach (DDA), a tighter upper bound of the derivative of Lyapunov functional can be obtained, and thus the proposed criteria give results with less conservatism compared with some previous ones. An integral inequality approach (IIA) is proposed to reduce the conservativeness in computing the allowable maximum admissible upper bound (MAUB) of the time-delay. The developed stability condition is expressed in terms of linear matrix inequality (LMI) that manipulates fewer decision variables and requires reduced computational load. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
3. Improved delay-range-dependent stability analysis of a time-delay system with norm bounded uncertainty.
- Author
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Dey, Rajeeb, Ghosh, Sandip, Ray, Goshaidas, Rakshit, Anjan, and Balas, Valentina Emilia
- Subjects
TIME delay systems ,STABILITY theory ,UNCERTAINTY (Information theory) ,ROBUST control ,APPROXIMATION theory ,LINEAR matrix inequalities - Abstract
This paper presents improved robust delay-range-dependent stability analysis of an uncertain linear time-delay system following two different existing approaches – (i) non-delay partitioning (NDP) and (ii) delay partitioning (DP). The derived criterion (for both the approaches) proposes judicious use of integral inequality to approximate the uncertain limits of integration arising out of the time-derivative of Lyapunov–Krasovskii (LK) functionals to obtain less conservative results. Further, the present work compares both the approaches in terms of relative merits as well as highlights tradeoff for achieving higher delay bound and (or) reducing number of decision variables without losing conservatism in delay bound results. The analysis and discussion presented in the paper are validated by considering relevant numerical examples. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
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4. Robust stability and control of uncertain linear discrete-time periodic systems with time-delay.
- Author
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de Souza, Carlos E. and Coutinho, Daniel
- Subjects
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DISCRETE-time systems , *ROBUST stability analysis , *UNCERTAINTY (Information theory) , *TIME delay systems , *NUMERICAL analysis , *POLYTOPES - Abstract
Abstract: This paper deals with the problems of robust stability analysis and robust control of linear discrete-time periodic systems with a delayed state and subject to polytopic-type parameter uncertainty in the state-space matrices. A robust stability criterion independent of the time-delay length as well as a delay-dependent criterion is proposed, where the former applies to the case of a constant time-delay and the latter allows for a time-varying delay lying in a given interval. The developed robust stability criteria are based on affinely uncertainty-dependent Lyapunov–Krasovskii functionals and are given in terms of linear matrix inequalities. These stability conditions are then applied to solve the problems of robust stabilization and robust control via static periodic state feedback. Numerical examples illustrate the potentials of the proposed robust stability and control methods. [Copyright &y& Elsevier]
- Published
- 2014
- Full Text
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5. Delay-dependent robust dissipativity conditions for delayed neural networks with random uncertainties.
- Author
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Wang, Jing, Park, Ju H., Shen, Hao, and Wang, Jian
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TIME delay systems , *ROBUST control , *ARTIFICIAL neural networks , *UNCERTAINTY (Information theory) , *BINOMIAL distribution , *NUMERICAL analysis - Abstract
Abstract: This paper deals with the problem of the robust dissipativity analysis for delayed neural networks with randomly occurring uncertainties. The randomly occurring uncertainties under consideration are assumed to follow certain mutually uncorrelated Bernoulli distributed white noise sequences. By using reciprocally convex approach combined with an extended Wirtinger inequality, some delay-dependent conditions for the concerned neural networks to be stochastically strictly (Q, S, R)- -dissipative are established. Finally, two numerical examples are given to illustrate the reduced conservatism and effectiveness of our proposed approach. [Copyright &y& Elsevier]
- Published
- 2013
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6. Discrete sliding mode control for robust tracking of higher order delay time systems with experimental application.
- Author
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Khandekar, A.A., Malwatkar, G.M., and Patre, B.M.
- Subjects
SLIDING mode control ,ROBUST control ,TIME delay systems ,DISCRETE-time systems ,PARAMETER estimation ,UNCERTAINTY (Information theory) ,LYAPUNOV functions ,COMPUTER simulation - Abstract
Abstract: In this paper, a discrete time sliding mode controller (DSMC) is proposed for higher order plus delay time (HOPDT) processes. A sliding mode surface is selected as a function of system states and error and the tuning parameters of sliding mode controller are determined using dominant pole placement strategy. The condition for the existence of stable sliding mode is obtained by using Lyapunov function. The proposed method is applicable to HOPDT processes with oscillatory and integrating behavior, open loop instability or non-minimum phase characteristics and works satisfactory under the effect of parametric uncertainty. The method does not require reduced order model and provides simple way to design the controllers. The simulation and experimentation results show that the proposed method ensures desired tracking dynamics. [Copyright &y& Elsevier]
- Published
- 2013
- Full Text
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7. Further results for robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties
- Author
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Lee, Chien-Hua and Chen, Cheng-Yi
- Subjects
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STABILITY theory , *ROBUST control , *BILINEAR transformation method , *TIME delay systems , *UNCERTAINTY (Information theory) , *LYAPUNOV stability - Abstract
Abstract: In this paper, the problem of stability analysis for homogeneous large-scale time-delay bilinear systems subjected to uncertainties is considered. Two classes of uncertainty are treated: nonlinear uncertainties and parametric uncertainties. By making use of the Lyapunov stability approach associated with solution bounds of the Lyapunov equation, two delay-independent criteria are presented to guarantee the robust stability of the overall systems. The stability condition for the mentioned system with nonlinear uncertainties is sharper than that of a previous work. The main feature of the schemes presented is that they do not involve any Lyapunov equation which may be unsolvable although the Lyapunov stability theorem is used. [Copyright &y& Elsevier]
- Published
- 2012
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8. Robust delay-dependent control for uncertain switched time-delay systems via sampled-data state feedback input
- Author
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Lien, Chang-Hua, Chen, Jenq-Der, Yu, Ker-Wei, and Chung, Long-Yeu
- Subjects
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UNCERTAINTY (Information theory) , *ROBUST control , *TIME delay systems , *STATISTICAL sampling , *FEEDBACK control systems , *DATA analysis , *MATRIX inequalities , *MATHEMATICAL optimization , *NUMERICAL analysis - Abstract
Abstract: The robust delay-dependent control for an uncertain switched system with sampled-data input is investigated in this paper. The design of the sampled-data state feedback control technique is based on a computer digital control theory and used instead of analog elements. Hence designing a practical and useful feedback control strategy is a very important work in implementation. The time-varying delay approach is used to deal the sampled-data state feedback input problem. The upper bound for the sampled time of state is estimated from the proposed LMI optimization approach. A numerical example is illustrated to show the use of the main results. [Copyright &y& Elsevier]
- Published
- 2012
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9. Discrete time sliding mode control of robotic manipulators: Development and experimental validation
- Author
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Corradini, Maria Letizia, Fossi, Valentino, Giantomassi, Andrea, Ippoliti, Gianluca, Longhi, Sauro, and Orlando, Giuseppe
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ROBOTICS , *DISCRETE systems , *TIME delay systems , *UNCERTAINTY (Information theory) , *PERFORMANCE evaluation , *PERTURBATION theory - Abstract
Abstract: This paper presents a robust discrete-time sliding mode control coupled with an uncertainty estimator designed for planar robotic manipulators. Experimental evidence shows satisfactory trajectory tracking performances and noticeable robustness in the presence of model inaccuracies, disturbances and payload perturbations. Ultimate boundedness of the tracking errors is proved, as well as boundedness of the estimation error with arbitrary precision. [Copyright &y& Elsevier]
- Published
- 2012
- Full Text
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10. Robust sampled-data control of a class of semilinear parabolic systems
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Fridman, Emilia and Blighovsky, Anatoly
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ROBUST control , *LINEAR systems , *UNCERTAINTY (Information theory) , *DISTRIBUTION (Probability theory) , *TIME delay systems , *DISCRETE-time systems , *MEASUREMENT - Abstract
Abstract: We develop sampled-data controllers for parabolic systems governed by uncertain semilinear diffusion equations with distributed control on a finite interval. Such systems are stabilizable by linear infinite-dimensional state-feedback controllers. For a realistic design, finite-dimensional realizations can be applied leading to local stability results. Here we suggest a sampled-data controller design, where the sampled-data (in time) measurements of the state are taken in a finite number of fixed sampling points in the spatial domain. It is assumed that the sampling intervals in time and in space are bounded. Our sampled-data static output feedback enters the equation through a finite number of shape functions (which are localized in the space) multiplied by the corresponding state measurements. It is piecewise-constant in time and it may possess an additional time-delay. The suggested controller can be implemented by a finite number of stationary sensors (providing discrete state measurements) and actuators and by zero-order hold devices. A direct Lyapunov method for the stability analysis of the resulting closed-loop system is developed, which is based on the application of Wirtinger’s and Halanay’s inequalities. Sufficient conditions for the exponential stabilization are derived in terms of Linear Matrix Inequalities (LMIs). By solving these LMIs, upper bounds on the sampling intervals that preserve the exponential stability and on the resulting decay rate can be found. The dual problem of observer design under sampled-data measurements is formulated, where the same LMIs can be used to verify the exponential stability of the error dynamics. [Copyright &y& Elsevier]
- Published
- 2012
- Full Text
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11. A robust disturbance reduction scheme for linear small delay systems with disturbances of unknown frequencies.
- Author
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Tsai, Ming-Hau and Tung, Pi-Cheng
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ROBUST control ,LINEAR systems ,ARTIFICIAL neural networks ,APPROXIMATION theory ,UNCERTAINTY (Information theory) ,MATHEMATICAL models ,TIME delay systems - Abstract
Abstract: A robust disturbance reduction scheme for linear small delay systems with disturbances of unknown frequencies is presented in this paper. Unlike other methods, the proposed scheme does not require disturbance frequencies to be known. The linear systems modeled in this study are nominally stable and minimum phase systems with relative degree. The control structure is an integration of Astrom’s modified Smith predictor and the proposed scheme. The proposed scheme consists of an input disturbance reduction controller (IDRC) and a residual disturbance reduction controller (RDRC). The IDRC using an artificial neural network (ANN) is proposed to reduce unknown load disturbances and modeling uncertainties in stable systems and unstable systems. The ANN can appropriately approximate the product of an inverse time delay and a nonnegative gain in the IDRC. The residual signals including residual disturbances and residual uncertainties are suppressed by the RDRC based on a disturbance observer. Simulation examples are illustrated to show the effectiveness of the proposed robust disturbance reduction scheme for linear delay uncertain systems with periodic or non-periodic unknown load disturbances. [Copyright &y& Elsevier]
- Published
- 2012
- Full Text
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12. Reducing risk of vibration injury for uncertain mechanical systems with time-varying input delay.
- Author
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Weng, Falu, Ding, Yuanchun, and Tang, Minkang
- Subjects
RISK assessment ,UNCERTAINTY (Information theory) ,TIME-varying systems ,TIME delay systems ,LYAPUNOV functions ,ROBUST control ,LINEAR matrix inequalities ,VIBRATION (Mechanics) - Abstract
Abstract: This paper is concerned with the problem of reducing risk of vibration injury for uncertain mechanical systems with time-varying input delay. Firstly, by choosing a suitable Lyapunov function, we derive the LMI-based sufficient condition for the stabilization of the mechanical systems. Secondly, by solving the LMI, the robust controller is derived for the system to be stabilizable. Finally, the numerical example is given to show the effectiveness of the proposed theorems. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
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13. Improved delay-dependent robust stability criteria for uncertain time delay systems
- Author
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Wang, Cheng and Shen, Yi
- Subjects
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TIME delay systems , *ROBUST control , *UNCERTAINTY (Information theory) , *LYAPUNOV stability , *MATHEMATICAL variables , *MATHEMATICAL inequalities , *NUMERICAL analysis , *ESTIMATION theory - Abstract
Abstract: This paper deals with the robust stability analysis for uncertain systems with time-varying delay. New delay-dependent robust stability criteria of uncertain time-delay systems are proposed by exploiting appropriate Lyapunov functional candidate. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism, due to the introduction of a method to estimate the upper bound of the derivative of Lyapunov functional candidate without ignoring the additional useful terms. Numerical examples are given to demonstrate the effectiveness and the advantage of the proposed method. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
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14. Robust stability of uncertain fuzzy BAM neural networks of neutral-type with Markovian jumping parameters and impulses
- Author
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Balasubramaniam, P. and Vembarasan, V.
- Subjects
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FUZZY systems , *ASSOCIATIVE storage , *ARTIFICIAL neural networks , *ROBUST control , *TIME delay systems , *LYAPUNOV stability , *NUMERICAL analysis , *UNCERTAINTY (Information theory) - Abstract
Abstract: In this paper, the problem of neutral-type impulsive bidirectional associative memory neural networks (NIBAMNNs) with time delays are first established by a Takagi–Sugeno (T-S) fuzzy model in which the consequent parts are composed of a set of NIBAMNNs with interval delays and Markovian jumping parameters (MJPs). Sufficient conditions to check the robust exponential stability of the derived model are based on the Lyapunov–Krasovskii functionals (LKFs) containing some novel triple integral terms, Lyapunov stability theory and employing the free-weighting matrix method. The delay-dependent stability conditions are established in terms of linear matrix inequalities (LMIs), which can be very efficiently solved using Matlab LMI control toolbox. Finally, numerical examples and remarks are given to illustrate the effectiveness and usefulness of the derived results. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
15. A new control method for MIMO first order time delay non-square systems
- Author
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Chen, Juan, He, Ze-Fang, and Qi, Xin
- Subjects
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MIMO systems , *TIME delay systems , *ROBUST control , *ERRORS , *CONTROL theory (Engineering) , *SIMULATION methods & models , *TRANSFER functions , *UNCERTAINTY (Information theory) - Abstract
Abstract: This paper proposes a new method using internal model control (IMC) to design Smith delay compensation decoupling controller for multivariable non-square systems with transfer function elements consisting of first order+time delay. This proposed method is applied to a shell control problem in multiple-input–multiple-output (MIMO) first order plus dead time non-square systems in which the number of input variables exceeds the number of output variables, with input and output variables being 3 and 2 respectively. This method does not only dynamically compensate for shortcoming caused by static decoupling but also overcomes the impact of model error on system performance caused by model approximation and uncertainty. In other words, the design method proposed in this paper is capable of significantly improving dynamic quality and robustness of the control system as can be seen from the simulation results. Moreover, this new method is simple and easy to implement. Integral of squared error (ISE) performance criterion is employed to quantitatively evaluate the design method. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
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16. Graphical computation of gain and phase margin specifications-oriented robust PID controllers for uncertain systems with time-varying delay
- Author
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Wang, Yuan-Jay
- Subjects
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PID controllers , *TIME delay systems , *POLYNOMIALS , *TECHNICAL specifications , *ROBUST control , *UNCERTAINTY (Information theory) - Abstract
Abstract: This paper proposes a novel graphical method to compute all feasible gain and phase margin specifications-oriented robust PID controllers to stabilize uncertain control systems with time-varying delay. A virtual gain-phase margin tester compensator is incorporated to guarantee the concerned system with certain robust safety margins. The complex Kharitonov theorem is used to characterize the parametric uncertainties of the considered system and is exploited as a stability criterion for the Hurwitz property of a family of polynomials with complex coefficients varying within given intervals. The coefficients of the characteristic equation are overbounded and eight vertex Kharitonov polynomials are derived to perform stability analysis. The stability equation method and the parameter plane method are exploited to portray constant gain margin and phase margin boundaries. The feasible controllers stabilizing every one of the eight vertex polynomials are identified in the parameter plane by taking the overlapped region of the plotted boundaries. The overlapped region of the useful region of each vertex polynomial is the Kharitonov region, which represents all the feasible specifications-oriented robust PID controller gain sets. Variations of the Kharitonov region with respect to variations of the derivative gain are extensively studied. The way to select representative points from the Kharitonov region for designing robust controllers is suggested. Finally, three illustrative examples with computer simulations are provided to demonstrate the effectiveness and confirm the validity of the proposed methodology. Based on the pre-specified gain and phase margin specifications, a non-conservative Kharitonov region can be graphically identified directly in the parameter plane for designing robust PID controllers. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
17. Robust two-dimensional iterative learning control for batch processes with state delay and time-varying uncertainties
- Author
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Liu, Tao and Gao, Furong
- Subjects
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ROBUST control , *DIMENSIONAL analysis , *ITERATIVE methods (Mathematics) , *BATCH processing , *TIME delay systems , *UNCERTAINTY (Information theory) - Abstract
Abstract: Based on a two-dimensional (2D) system description of a batch process in industry, a robust closed-loop iterative learning control (ILC) scheme is proposed for batch processes with state delay and time-varying uncertainties. An important merit is that the proposed ILC method can be used for on-line optimization against batch-to-batch process uncertainties to realize robust tracking of setpoint trajectory in both the time (during a cycle) and batchwise (from cycle to cycle) directions. Only measured output errors of current and previous cycles are used to design a synthetic ILC controller consisting of dynamic output feedback plus feedforward control, for the convenience of implementation. By introducing a comprehensive 2D difference Lyapunov function that can lead to monotonical state energy decrease in both the time and batchwise directions, sufficient conditions are established in terms of linear matrix inequality (LMI) constraints for holding robust stability of the closed-loop ILC system. By solving these LMI constraints, the ILC controller is explicitly formulated, together with an adjustable robust H infinity performance level. An illustrative example of injection molding is given to demonstrate effectiveness and merits of the proposed ILC method. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
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18. Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays
- Author
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Yang, Meng, Wang, Yan-Wu, Xiao, Jiang-Wen, and Wang, Hua O.
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SYNCHRONIZATION , *COMPLEXITY (Philosophy) , *UNCERTAINTY (Information theory) , *TIME delay systems , *NONLINEAR theories , *TOPOLOGY , *LYAPUNOV stability , *ROBUST control , *NUMERICAL analysis - Abstract
Abstract: This paper presents a general impulsively-coupled complex switched network (ICCSN) model with parametric uncertainties and multiple Time-varying Delays in both the linear and nonlinear terms. The model is more general than those in the literature in that it contains switching behaviors on nodes and impulsive effects in the whole topology. Robust synchronization of ICCSNs with parametric uncertainties and time-varying delays is investigated. Based on the Lyapunov stability theory, delay-independent synchronization conditions for ICCSNs with uncertainties and delays are obtained. In addition, we consider five special synchronization cases: ICCSNs with delays in both the linear and nonlinear terms, ICCSNs with parametric uncertainties and delays either in the linear or in the nonlinear term, ICCSNs without switching behaviors but with parametric uncertainties and delays, and impulsively-switched-coupled complex switched network with uncertainties and delays. A systematic-design procedure is presented, and a numerical example is carried out to demonstrate the effectiveness of the proposed synchronization strategy. A comparative study of the maximum impulsive intervals for synchronization is presented for all special cases. [Copyright &y& Elsevier]
- Published
- 2010
- Full Text
- View/download PDF
19. Robust stabilizing first-order controllers for a class of time delay systems.
- Author
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Saadaoui, Karim, Testouri, Sana, and Benrejeb, Mohamed
- Subjects
ROBUST control ,TIME delay systems ,STABILITY (Mechanics) ,PARAMETRIC devices ,ELECTRIC controllers ,DECOMPOSITION method ,UNCERTAINTY (Information theory) - Abstract
Abstract: In this paper, stabilizing regions of a first-order controller for an all poles system with time delay are computed via parametric methods. First, the admissible ranges of one of the controller’s parameters are obtained. Then, for a fixed value of this parameter, stabilizing regions in the remaining two parameters are determined using the D-decomposition method. Phase and gain margin specifications are then included in the design. Finally, robust stabilizing first-order controllers are determined for uncertain plants with an interval type uncertainty in the coefficients. Examples are given to illustrate the effectiveness of the proposed method. [Copyright &y& Elsevier]
- Published
- 2010
- Full Text
- View/download PDF
20. Robust control for a generic linear rational expectations model of economy
- Author
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Li, Minghao, Zhou, Wuneng, Lu, Hongqian, and Fang, Jian’an
- Subjects
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RATIONAL expectations (Economic theory) , *ROBUST control , *TIME delay systems , *ATTENUATION (Physics) , *MACROECONOMICS , *UNCERTAINTY (Information theory) , *MATRIX inequalities - Abstract
Abstract: Large time-delay and small disturbance attenuation are very important for macroeconomic system. This paper is concerned with the problem of robust control with large time-delay and small disturbance attenuation for a generic linear rational expectations model of economy with uncertainties, time-varying delay and random shocks. The norm bounded uncertainties are used to describe the uncertainties of economic system. The concept of two levels of conservatism and the approach of Parameters Weak Coupling Linear Matrix Inequalities (PWCLMIs) are developed in this paper. The result is presented in terms of PWCLMIs in this note. Large time-delay and small disturbance attenuation are achieved without increasing conservatism of result. Furthermore, according to the robust result, one will obtain various results readily by employing different games. An example is given to show the benefit of the presented approach. [Copyright &y& Elsevier]
- Published
- 2010
- Full Text
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21. Adaptive backstepping control of uncertain systems with unknown input time-delay
- Author
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Zhou, Jing, Wen, Changyun, and Wang, Wei
- Subjects
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ADAPTIVE control systems , *UNCERTAINTY (Information theory) , *TIME delay systems , *ROBUST control , *SYSTEMS design , *CONTROL theory (Engineering) - Abstract
Abstract: In this paper, we establish the robustness of adaptive controllers designed using the standard backstepping technique with respect to unmodeled dynamics involving unknown input time delay. While noting that some results on robust stabilization of non-minimum phase systems using the backstepping technique are available, we realize that the standard adaptive backstepping technique has only been shown applicable to unknown minimum phase systems. Another significance of our result is to enable the class of systems stablizable by adaptive backstepping controllers to cross the boundary of minimum phase systems, since systems with input time delay belong to non-minimum phase systems. Moreover, the and norms of the system output are also established as functions of design parameters. This implies that the transient system performance can be adjusted by choosing suitable design parameters. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF
22. Robust delayed-state-feedback stabilization of uncertain stochastic systems
- Author
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Huang, Lirong and Mao, Xuerong
- Subjects
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ROBUST control , *UNCERTAINTY (Information theory) , *STOCHASTIC systems , *TIME delay systems , *MATRIX inequalities , *FEEDBACK control systems , *NUMERICAL analysis - Abstract
Abstract: Due to time spent in computation and transfer, control input is usually subject to delays. Problems of deterministic systems with input delay have received considerable attention. However, relatively few works are concerned with problems of stochastic system with input delay. This paper studies delayed-feedback stabilization of uncertain stochastic systems. Based on a new delay-dependent stability criterion established in this paper, a robust delayed-state-feedback controller that exponentially stabilizes the uncertain stochastic systems is proposed. Numerical examples are given to verify the effectiveness and less conservativeness of the proposed method. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF
23. Use of predicted information to improve the control performance of systems with uncertainties
- Author
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Huang, Gongsheng and Wang, Shengwei
- Subjects
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PREDICTIVE control systems , *ROBUST control , *PROCESS control systems , *UNCERTAINTY (Information theory) , *ALGORITHMS , *TIME delay systems - Abstract
Abstract: This paper develops a two-loop robust control strategy for systems associated with uncertainty. The inner-loop is designed offline for robust stability. The outer-loop is used online to improve the control performance based on predicted information, taking uncertainties and constraints into account. The structure of the two-loop robust controller is illustrated. A practical control algorithm is developed for the systems which can be described using an uncertain first-order plus time delay model. The benefits of the two-loop robust control strategy are illustrated by presenting the validation results and comparing with an anti-windup PI controller. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
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24. Robust H ∞ control for uncertain delayed nonlinear systems based on standard neural network models
- Author
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Liu, Meiqin
- Subjects
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ARTIFICIAL neural networks , *NONLINEAR systems , *ROBUST control , *TIME delay systems , *UNCERTAINTY (Information theory) , *APPROXIMATION theory - Abstract
Abstract: A neural-network-based robust output feedback H ∞ control design is suggested for control of a class of nonlinear systems both with time delays and with uncertainties. In this paper, a full-order dynamic output feedback controller is designed for the delayed uncertain nonlinear system approximated by the neural network (e.g. multilayer perceptron, recurrent neural network, etc.), of which the activation functions satisfy the sector conditions. The closed-loop neural control system is transformed into a novel neural network model both with uncertainties and with time delays termed standard neural network model (SNNM). Based on the optimal robust H ∞ performance analysis of the SNNM, the parameters of output feedback controllers can be obtained by solving some linear matrix inequalities (LMIs). The optimal H ∞ controller ensures the robust global asymptotic stability of the closed-loop system and eliminates the effect of approximation errors, parametric uncertainties, and external disturbances. Finally, a simple example is presented to illustrate the effectiveness and the applicability of the proposed design approach. [Copyright &y& Elsevier]
- Published
- 2008
- Full Text
- View/download PDF
25. Robust control for uncertain singular systems with time-varying delay
- Author
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Li, Lin, Jia, Yingmin, Du, Junping, and Yuan, Shiying
- Subjects
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ROBUST control , *SINGULAR perturbations , *TIME delay systems , *MATRIX inequalities , *UNCERTAINTY (Information theory) , *CONTROL theory (Engineering) - Abstract
Abstract: We study the problem of control for a class of uncertain singular systems with time-delay and norm-bounded parameter uncertainties in this paper. A new delay-dependent robust stability criterion is obtained in terms of linear matrix inequalities (LMIs). Based on this criterion, a state feedback controller is designed to guarantee that the closed-loop system is regular, impulse free and stable with a prescribed performance satisfied for all admissible parameter uncertainties. A simulation example is included to illustrate the effectiveness of the proposed method. [Copyright &y& Elsevier]
- Published
- 2008
- Full Text
- View/download PDF
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