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This paper deals with the problem of finite-time dissipative-based distributive non-fragile filter design for a class of discrete-time complex systems subject to randomly occurring multiple delays, dynamic quantization and missing measurements. The main intention of this work is to propose a distributive non-fragile filter that ensures the stochastic finite-time boundedness together with prescribed dissipative performance in the presence of multiple delays. To characterize the random nature of delays, stochastic variables are introduced which satisfy the Bernoulli binary distribution. Moreover, the two factors such as missing measurements and dynamic quantization are implemented in the measurement signal. By employing S-procedure and constructing proper Lyapunov–Krasovskii functional, a set of linear matrix inequality (LMI)-based sufficient conditions that guarantee the stochastic finite-time boundedness with dissipative performance of the augmented filtering error system is obtained. Finally, the efficiency of the proposed distributive non-fragile filter design is proved by presenting three numerical examples including the continuous stirred tank reactor (CSTR) and a quarter-car suspension model. [ABSTRACT FROM AUTHOR]

This paper studies a resilient control-based fault estimation problem for a class of networked control systems subject to jumping parameters and deception attacks. In particular, a fault estimator is developed under an observer-based framework to estimate the faults and system states concurrently, and procure better estimation accuracy. Next, the closed-loop error system is constructed with major factors like gain fluctuations and cyber attacks that may damage the network security. In accordance with the Lyapunov stability approach, a set of adequate criteria in the configuration of linear matrix inequalities is derived to confirm the stochastic boundedness of the resulting system. Further, the considered resilient controller and the observer gain matrices are calculated from the established linear matrix inequality constraints. The validity of the developed schemes and performance of the obtained results is consummated through two numerical examples, which include a high alpha research vehicle model. [ABSTRACT FROM AUTHOR]

This paper is concerned with the problem of fault detection filter design for a class of nonlinear Markovian jump systems with incomplete measurements and distributed delay. A unified model is proposed to address the phenomena such as packet losses, signal quantization and sensor saturation. The objective is to design a finite-time dissipative-based fault detection filter such that for all unknown disturbances, the estimation error between the residual signal and the fault is minimized and also to guarantee the stochastic finite-time boundedness of the augmented filtering error system with a prespecified dissipative performance level. By using Lyapunov stability theory along with stochastic analysis techniques, a set of sufficient criterion is established for the existence of desired fault detection filter. Further, the filter gain parameters are obtained by solving the linear matrix inequality-based constraints. Two numerical examples including an inverted pendulum model are presented to illustrate the effectiveness of the proposed filter design algorithm. [ABSTRACT FROM AUTHOR]

In this paper, the design problem of fault detection filter for a class of networked control system subject to Markov jump parameters, randomly occurring uncertainties, sensor faults and packet dropouts by using state feedback control is investigated. The fault detection filter is used as an optimal residual generator that generates the residual signal and also guarantees the sensitivity of residual signal to the faults. To be more specific, a suitable threshold is selected for the residual evaluation function to reduce the error between the sensor faults and the residual signal. Further, by employing a fault detection technique along with output quantization approach, a new set of sufficient conditions is derived to ensure the stochastic stabilization of the addressed system with sensor faults under a predefined H ∞ performance level. Particularly, by constructing Lyapunov–Krasovskii functional and utilizing extended Wirtinger-based single integral inequality, the required sufficient conditions are derived in terms of linear matrix inequalities for getting the required result. At last, two numerical examples including high alpha research vehicle model are presented to demonstrate the usefulness of our developed results. [ABSTRACT FROM AUTHOR]

The primary purpose of this work was to address the problem of finite-time fault detection filtering for a class of discrete-time Takagi–Sugeno (T–S) fuzzy Markovian jump systems subject to randomly occurring uncertainties, time-varying delay, missing measurements and partly unknown transition probability matrices. Precisely the missing measurement phenomenon in the network environment satisfies the Bernoulli distributed white noise sequences. Firstly a fuzzy rule-dependent filter is constructed for estimating the unmeasured states of the system and the corresponding fault detection problem. Further, based on the filtering problem, the error between residual and fault is minimized with the prescribed strict (Q , S , R) - γ dissipativity performance. Secondly, the sufficient criteria are derived to ensure the filtering error system to be finite-time stochastic bounded. Finally, the applicability and usefulness of the proposed filter design through two numerical examples are verified. [ABSTRACT FROM AUTHOR]

This paper addresses the problem of robust $$L_2{-}L_\infty $$ control in delta domain for a class of Takagi-Sugeno (TS) fuzzy systems with interval time-varying delays and disturbance input. In particular, the system under study involves state time delay, uncertainties and fast sampling period $$\mathcal {T}$$ . The main aim of this work was to design a $$L_2{-}L_\infty $$ controller such that the proposed TS fuzzy system is robustly asymptotically stable with a $$L_2{-}L_\infty $$ prescribed performance level $$\gamma >0$$ . Based on the proper Lyapunov-Krasovskii functional (LKF) involving lower and upper bound of time delay and free-weighting technique, a new set of delay-dependent sufficient conditions in terms of linear matrix inequalities (LMIs) are established for obtaining the required result. The result reveals that the asymptotic stability is achieved quickly when the sampling frequency is high. Finally, a numerical example based on the truck-trailer model is given to demonstrate the effectiveness and potential of the proposed design technique. [ABSTRACT FROM AUTHOR]

In this paper, the robust reliable $$H_\infty $$ control problem has been investigated for a class of nonlinear discrete-time TS fuzzy systems with random delay. In particular, the proposed fuzzy system consists of local nonlinear models with set of fuzzy rules, but the conventional TS fuzzy systems has local linear models. Our attention is focused on the design of a feedback reliable nonlinear retarded control law to ensure the robust asymptotic stability for nonlinear discrete-time TS fuzzy system with admissible uncertainties as well as actuator failure cases and random delay. In particular, by using an input delay approach, the random delay with stochastic parameters in the system matrices is introduced in the system model. Based on the Lyapunov approach, firstly, a sufficient condition for asymptotic stability is proposed for TS fuzzy systems in the presence of actuator failures. Then, a robust reliable $$H_\infty $$ control is designed for the uncertain TS fuzzy system by solving a strict linear matrix inequalities using the available numerical software. Finally, a numerical example based on real-time ball and beam system is provided to validate the effectiveness of the proposed design technique. [ABSTRACT FROM AUTHOR]

This paper is concerned with the problem of robust $$L_2-L_\infty $$ control for a class of uncertain systems with additive time-varying delays. Delay-dependent conditions are obtained for the analysis of robust asymptotic stability of uncertain closed-loop system with two additive time-varying delays using a novel Lyapunov-Krasovskii functional which includes information belonging to a given delay range. More precisely, a new set of sufficient conditions are derived in terms of linear matrix inequalities (LMIs) for achieving the required result of the closed-loop system with a prescribed $$L_2-L_\infty $$ disturbance attenuation level. In particular, Schur complement, Wirtinger's based inequality and convex combination technique are utilized to simplify the derivation in the main results. Further, the robust control law with guaranteed energy-to-peak $$L_2-L_\infty $$ performance is designed by solving a set of LMIs. Also, it is noticed that the advantage of the obtained criterion lies in its simplicity and less conservativeness. The proposed theoretical results have been compared through numerical simulation which reveals that the obtained criteria are considerably less conservative than some existing results. [ABSTRACT FROM AUTHOR]

In this paper, non-fragile observer-based $${\mathcal {H}}_{\infty }$$ controller design is investigated for a class of discrete-time systems. The system under consideration is assumed to have random fluctuations in both the state feedback controller gain and observer gain matrices. The random fluctuations are defined using Bernoulli-distributed white sequences with time-varying probability measures. The probability-dependent controller gains are designed to guarantee the stochastic stability of the system with a prescribed mixed $${\mathcal {H}}_{\infty }$$ and passivity performance. Lyapunov stability theory, passivity theory and a linear matrix inequality (LMI) approach are used to derive sufficient conditions for the existence of the state feedback controller and observer gains. The probability-dependent gain-scheduled controllers are designed based on a convex optimization problem using a set of LMIs, which can be easily solved with standard numerical packages. Finally, a practical application is presented as an example to illustrate the effectiveness and potential of the method. [ABSTRACT FROM AUTHOR]

The need for real time high end digital signal/image processing demands a very huge computation with a reasonable accuracy. This paper presents two energy efficient low area error tolerant adders (ELAETA-I and ELAETA-II) which could cater the needs of most signal processing application. This work has reduced the tradeoff that exists between the amount of computation and the accuracy. The error sensitive block in the inaccurate part of the ELAETA circuit, predetermines the carry and allows the simultaneous calculation of inaccurate part sum value, thereby reducing the maximum delay by 55 % compared to error-tolerant adder (ETA-I) and its appropriate addition of carry to the accurate part increases the accuracy by 20 % over the existing ETA-I and ETA-II. The inaccurate part of the adder is being constructed with the proposed new OR gate cell and the pass transistor cell, which has reduced the number of transistor by 10 and 12, respectively, compared with the existing ETA-I. In addition a new data aware block has been included which will evaluate the input sequence and appropriately activate/de-activate certain computation modules and there by reduce the switching activity. The simulation result of the proposed ELAETA circuits shows that the power delay product has reduced by 59 % and area around 20 %. The whole circuit has been constructed using Cadence Virtuoso and the simulation done using Spectre with 180 and 45 nm technology node from TSMC. [ABSTRACT FROM AUTHOR]