Stochastic dynamic output feedback stabilization of uncertain stochastic state-delayed systems

被引：8
|
作者：
Karimi, HR [1 ]
Maralani, PJ [1 ]
Moshiri, B [1 ]
机构：
[1] Univ Tehran, Control & Intelligent Proc Ctr Excellence, Dept Elect & Comp Engn, Fac Engn, Tehran, Iran
来源：
ISA TRANSACTIONS | 2006年 / 45卷 / 02期
关键词：
stochastic systems; time delay; stochastic dynamic output feedback; exponential stability; LMI;
D O I：
10.1016/S0019-0578(07)60190-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper addresses the problem of stochastic dynamic output feedback (SDOF) stabilization for a class of stochastic continuous-time state-delayed systems with norm-bounded nonlinear uncertainties. The aim is to design a linear, delayless, and SDOF control for all admissible uncertainties. The designed control ensures stochastically exponentially stability in the mean square, independent of the deterministic time delay. Using the Finsler's lemma, the necessary and sufficient conditions for the existence of such a control are proposed in terms of certain linear matrix inequalities. These results are illustrated with a simple example to demonstrate the applicability of the proposed design approach. (c) 2006 ISA-The Instrumentation, Systems, and Automation Society.
引用
收藏
页码：201 / 213
页数：13
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