Sliding mode control of Markovian jump systems with incomplete information on time-varying delays and transition rates

被引：27

作者：

Jiang, Baoping ^{[1
]}

Gao, Cunchen ^{[2
]}

Kao, Yonggui ^{[3
]}

Liu, Zhen ^{[1
]}

机构：

[1] Ocean Univ China, Coll Phys & Environm Oceanog, Qingdao 266100, Peoples R China

[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

[3] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 290卷

关键词：

Markovian jump systems; Time-varying delays; Sliding mode control; Incomplete transition rates; STOCHASTIC-SYSTEMS; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; STABILIZATION; OBSERVER; PROBABILITIES;

D O I：

10.1016/j.amc.2016.05.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with robust sliding mode control (SMC) for continuous-time Markovian jump delay systems with incomplete transition rates (TRs), the time-varying delays are unclear and just bounded sometimes. Two methods are employed to investigate this control issue. One is movement decomposition method by which reduced-order sliding mode dynamics is obtained; the other is via sliding mode observer and full-order sliding mode dynamics is obtained on the estimation space. In both cases, sufficient conditions are established in terms of a set of coupled linear matrix inequalities (LMIs) to ensure the sliding mode dynamics to be mean-square exponentially stable; moreover, novel sliding mode controllers, which need not full knowledge on time-varying delays, are synthesized to guarantee the reachability of the prescribed sliding surface. Finally, numerical examples are provided to illustrate the effectiveness of the proposed methods. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：66 / 79

页数：14

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