Non-fragile observer-based H∞ control for stochastic time-delay systems

Jianping Zhou, Ju H. Park and Qian Ma

Applied Mathematics and Computation, 2016, vol. 291, issue C, 69-83

Abstract: This paper considers the problem of non-fragile observer-based H∞ control for stochastic time-delay systems. The controller and observer to be designed are assumed to have norm-bounded gain perturbations. By choosing an appropriate Lyapunov–Krasovskii functional and introducing a slack matrix variable, a less conservative delay-dependent condition of exponential stability in mean square is presented in the form of linear matrix inequalities (LMIs). A stochastic bounded real lemma is then established. On the basis of this, a new LMI-based approach is developed for designing non-fragile observer-based H∞ controllers without imposing any constraints on the system matrices. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservatism of the proposed design approach.

Keywords: Time-delay systems; Stochastic disturbance; Gain perturbation; Observer-based control; H∞ control (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:291:y:2016:i:c:p:69-83

DOI: 10.1016/j.amc.2016.06.024

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