Nonfragile observer-based H∞ sliding mode control for Ito stochastic systems with Markovian switching

被引：33
|
作者：
Kao, Yonggui [1 ,2 ]
Li, Wei [2 ]
Wang, Changhong [1 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2014年 / 24卷 / 15期
基金：
中国博士后科学基金;
关键词：
sliding mode control; time delay; linear matrix inequality; stochastic systems; observer; VARIABLE-STRUCTURE CONTROL; TIME-DELAY SYSTEMS; OUTPUT-FEEDBACK CONTROL; JUMP LINEAR-SYSTEMS; VARYING DELAY; FILTER DESIGN; DISCRETE; REDUCTION; STABILITY;
D O I：
10.1002/rnc.2970
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper is devoted to investigating sliding mode control for a class of nonlinear uncertain stochastic systems with input nonlinearity and Markovian switching. A nonfragile observer subjected to the transition rates of the modes is designed. By some specified matrices, the connections among the designed sliding surfaces corresponding to every mode are established. The state estimation-based sliding mode control law is derived to guarantee the reachability of the sliding surface in finite time interval. The sufficient conditions on asymptotically stochastic stability of the error system and sliding mode dynamics with a given disturbance attenuation level are derived in terms of linear matrix inequalities. Finally, an example is provided to illustrate the efficiency of the proposed method. Copyright (C) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：2035 / 2047
页数：13
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