• 控制科学与工程 •

### 变时滞不确定广义Markovian跳系统的滑模控制

1. 1. 中国海洋大学信息科学与工程学院, 山东 青岛 266100;
2. 哈尔滨工业大学理学院数学系, 山东 威海 264209;
3. 中国海洋大学数学科学学院, 山东 青岛 266100
• 收稿日期:2013-10-30 修回日期:2014-05-30 发布日期:2013-10-30
• 作者简介:解静（1987-），女，山东泰安人，博士研究生，主要研究方向为随机控制系统的理论及应用.E-mail：tiantian1210x@163.com
• 基金资助:
国家高技术研究发展计划（863计划）资助项目（2008 AA04Z401，2009AA043404）；教育部重点科研基金资助项目（NCET-08-0755）

### Integral sliding mode control for uncertain stochastic singular Markovian jump systems with time-varying delays

XIE Jing1, KAO Yonggui2, GAO Cunchen3, ZHANG Mengqiao2

1. 1. College of Information Science and Engineering, Ocean University of China, Qingdao 266100, Shandong, China;
2. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, Shandong, China;
3. School of Mathematical Sciences, Ocean University of China, Qingdao 266100, Shandong, China
• Received:2013-10-30 Revised:2014-05-30 Published:2013-10-30

Abstract: A sliding mode control scheme was proposed for a class of stochastic singular Markovian jump systems with time-varying delays and mismatched uncertain parameters. A switching function without Markovian jump were constructed at first, and a sufficient condition of the stochastically robust asymptotic stability was obtained for the system in terms of linear matrix inequalities(LMIs). Secondly, sliding mode controllers and switching laws are designed by the Lyapunov stability method to make state trajectories of the closed-loop system reach switching surfaces in finite time. Finally, the stable sliding mode dynamics was resulted for the closed-loop system. The proposed scheme was testified to be effective and feasible by a numerical example.

• TP271
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