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题名: Delay-Dependent Robust Control for Discrete-Time Uncertain Stochastic Systems with Time-Varying Delays
作者: Cheung-Chieh Ku;Guan-Wei Chen
贡献者: 國立臺灣海洋大學:輪機工程學系
日期: 2016
上传时间: 2017-11-15T02:54:14Z
出版者: Journal of Dynamic Systems, Measurement and Control
摘要: This paper investigates a delay-dependent robust control problem of discrete-time uncertain stochastic systems with delays. The uncertainty considered in this paper is time-varying but norm-bounded, and the delays are considered as interval time-varying case for both state and input. According to considerations of uncertainty, stochastic behavior and time-delays, the problem considered in this paper is more general than the existing works for uncertain stochastic systems. Via the proposed Lyapunov-Krasovskii function, some sufficient conditions are derived into the extended Linear Matrix Inequality (LMI) form. Moreover, Jensen Inequality and free matrix equation are employed to reduce conservatism of those conditions. Through using the proposed design method, a Gain-Scheduled (GS) controller is designed to guarantee asymptotical stability of uncertain stochastic systems in the sense of mean square. Finally, two numerical examples are provided to demonstrate applicability and effectiveness of the proposed design method.
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