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Abstract In this paper, the robust H ∞ filtering of polytopic uncertain stochastic systems is designed under quantized sampled outputs. An novel parameters-dependent time-scheduled Lyapunov functional is constructed using segmentation technology and linear interpolation. Based on this new Lyapunov functional and convex combination method, sufficient stochastic exponential stability criteria of the filtering error dynamics are proposed and a prescribed H ∞ performance level can be guaranteed by designing the stochastically stable filter. The better H ∞ performance can be obtained with a larger interval dividing parameter. A numerical example is provided to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

This paper investigates the non-fragile and robust finite-time H ∞ control problem for a class of uncertain Markovian jump nonlinear systems with bounded parametric uncertainties and norm-bounded disturbance. By employing stochastic analysis and linear matrix inequality techniques, sufficient criteria of stochastic finite-time boundedness and stochastic H ∞ finite-time boundedness are first provided for the class of stochastic jump systems. Then, a controller is designed such that the class of stochastic nonlinear dynamics are stochastically finite-time bounded and have an H ∞ attention performance level by utilizing matrix decomposition approach. Furthermore, the analysis and design of non-fragile and robust finite-time controller are provided to guarantee that the class of uncertain stochastic systems are stochastically finite-time boundeded with a prescribed attention index by using non-fragile control technique. In addition, we also deal with the analysis and design of stochastic finite-time stability and stochastic finite-time stabilization. All criterions can be characterized in terms of linear matrix inequalities. Finally, two examples are also given to illustrate the effectiveness of obtained results. [ABSTRACT FROM AUTHOR]

A robust congestion pricing (ROPRICE) of signal-controlled road network is considered for equilibrium network flow with uncertain travel demand. A min–max bi-level program is presented to mitigate vulnerability of area traffic control road network against growing travel demand and reduce traffic congestion. A cutting plane projection approach (CPP) is proposed to effectively solve the ROPRICE problem with global convergence. Numerical computations are performed using various test road networks and comparisons are made with recently proposed heuristics. Computational results indicate that the proposed solution scheme can substantially achieve greater system performance as compared to other alternatives. [ABSTRACT FROM AUTHOR]

This paper address the reliable robust strictly ( Q, R, S ) dissipative control problem for a class of uncertain continuous time systems with input delay and linear fractional uncertainties despite possible actuator failures in system model. In particular, by employing a novel Lyapunov functional together with delay fractioning approach, a reliable control law is designed in terms of the solution of certain linear matrix inequalities which makes the considered system strictly ( Q, R, S ) dissipative which can be easily solved by using the available software. At the same time, as special cases the H ∞, passivity, mixed H ∞ and passivity control problems can obtained from the proposed dissipative control formulation. This explains the fact that the dissipative control unifies H ∞ control, passive control, and mixed H ∞ and passivity control in a single framework. Finally, a numerical example based on a mechanical system is given to demonstrate the effectiveness and applicability of the proposed design approach. More precisely, the proposed 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, we consider the multi-facility Weber location problem (MFWP) with uncertain location of demand points and transportation cost parameters. Equivalent formulations of its robust counterparts for both the Euclidean and block norms and interval and ellipsoidal uncertainty sets are given as conic linear optimization problems. [ABSTRACT FROM AUTHOR]

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]

Abstract: This paper is concerned with the problem of robust generalized guaranteed cost control with D-stability and multiple output constraints for a class of linear uncertain systems. Being a combination of output performance indices, a generalized cost function is considered to the linear polytopic uncertain systems described in a unified framework. The aim is to design a state feedback controller, such that the closed-loop system is robust D-stable, and the upper bound of the generalized cost function is as small as possible subject to multiple output constraints. Based on parameter-dependent Lyapunov functions, convex conditions for the existence of such controllers are presented in terms of linear matrix inequality. The proposed approach shows a unified treatment of the linear systems in the differential, shift, and delta domains. Numerical examples are provided to illustrate the effectiveness of the design method. [Copyright &y& Elsevier]

Abstract: In this paper, a robust adaptive sliding mode controller (RASMC) is introduced to synchronize two different chaotic systems in the presence of unknown bounded uncertainties and external disturbances. The structure of the master and slave chaotic systems has no restrictive assumption. Appropriate adaptation laws are derived to tackle the uncertainties and external disturbances. Based on the adaptation laws and Lyapunov stability theory, an adaptive sliding control law is designed to ensure the occurrence of the sliding motion even when both master and slave systems are perturbed with unknown uncertainties and external disturbances. Since the conventional sliding mode controllers contain the sign function, the undesirable chattering is occurred. We propose a new simple adaptive scheme to eliminate the chattering. Finally, numerical simulations are presented to verify the usefulness and applicability of the proposed control strategy. [Copyright &y& Elsevier]

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]

Abstract: We consider an artificial swarm system consisting of multi-agents. The agents may interact with each other based on their relative positions. Each agent exhibits a repulsion/attraction behavior toward another agent, which mimics some biological swarm systems. The performance of each individual agent is the accumulation of these respective considerations toward other agents. The overall performance of the artificial swarm system mimics the aggregation and formation in biological systems. We propose an adaptive robust control for each agent toward achieving the performance. The control can withstand uncertainty, which is time-varying, nonlinear, and without known bound. The controlled system converges to the desirable swarm system performance regardless of the uncertainty. [ABSTRACT FROM AUTHOR]

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]