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An observer-based robust H∞ control for a class of linear uncertain neutral-type systems is presented in this paper. Based on Lyapunov-Krasovskii theory, a delay-dependent condition for the existence of a linear full-order robust H∞ controller is constructed. By the singular value decomposition (SVD) approach, the result can be expressed in terms of a set of strict linear matrix inequalities (LMIs)...
This paper investigates robust asymptotic mean-square stability for uncertain stochastic delay systems with Markovian switching. Two types of parametric uncertainties are considered, i.e. Lipschitz nonlinear uncertainties and norm-bounded uncertainties. Based on introducing an auxiliary vector, an integral inequality in stochastic context is obtained. By this stochastic integral inequality, delay-dependent...
Observer-based robust Hinfin control for a class of Ito-type stochastic systems with parametric uncertainties is investigated in this paper. Observer-based controllers which guarantee the closed-loop augmented system robustly stochastically asymptotically stable in the mean square with prescribed Hinfin disturbance attenuation levels gamma for all admissible parametric uncertainties, are established...
This paper investigates the problem of robust stochastic exponential control for a class of uncertain Ito-type stochastic Lurie systems with time delays. Based on Lyapunov-Krasovskii approach, a sufficient condition for the existence of a linear memoryless state feedback controller is formulated in terms of a linear matrix inequality (LMI). For all admissible parametric uncertainties, the desired...
This paper discusses the issue of delay-dependent robust stability for uncertain linear systems with time-varying delays and norm-bounded uncertainties. A new sufficient condition is obtained by employing a Lyapunov-Krasovskii functional (LKF). This LKF considers the cross terms between x(s) and x(s) in both single and double integrals. Both model transformation and estimating techniques for cross...
In this paper, the problem of robust H∞ guaranteed cost filtering for uncertain systems with time-varying delays is firstly investigated. The systems are with both discrete delays and distributed delays, and the uncertainties are assumed to be norm-bounded. A delay-dependent robust H∞ guaranteed cost filter in terms of linear matrix inequalities (LMIs) is presented by using Lyapunov-Krasovskii theory.
This note considers Hinfin control of networked control system with norm-bounded uncertainties and Markov communication delays. The system can be modeled as discrete-time Markov jump linear system with stochastic time-delays. Stochastic stability of networked control system is studied, Hinfin norm is used to measure system performance, a synthesis method to robust Hinfin controller is presented by...
In this paper, a systematic guideline is introduced to design a stable adaptive fuzzy wavelet controller with sliding mode for a class of uncertain nonlinear systems. Based on the Lyapunov synthesis approach, we construct the fuzzy wavelet controller such that it can basically control and guarantee the stability of the whole control system. On the other hand, a robust controller is designed to restrain...
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