ROBUST H∞ SLIDING MODE CONTROL FOR A CLASS OF SINGULAR STOCHASTIC NONLINEAR SYSTEMS

被引：15
|
作者：
Zhao, Feng [1 ,2 ]
Yao, Han [3 ]
Chen, Xiangyong [1 ,2 ]
Cao, Jinde [4 ,5 ]
Qiu, Jianlong [1 ,2 ,6 ]
机构：
[1] Linyi Univ, Sch Automat & Elect Engn, Linyi 276000, Peoples R China
[2] Linyi Univ, Key Lab Complex Syst & Intelligent Comp Univ Shan, Linyi 276005, Peoples R China
[3] Northeastern Univ, Sch Sci, Shenyang 110819, Liaoning, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[5] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[6] King Abdulaziz Univ, Dept Informat Technol, Jeddah 21589, Saudi Arabia
来源：
ASIAN JOURNAL OF CONTROL | 2019年 / 21卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Singular systems; sliding mode control; stochastic nonlinear systems; MARKOVIAN JUMP SYSTEMS; STABILITY; SYNCHRONIZATION; DESIGN; STABILIZATION; CRITERIA; NETWORK;
D O I：
10.1002/asjc.1934
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 concerns the problem of robust H-infinity sliding mode control for a class of singular stochastic nonlinear systems. Integral slidingmode control is developed to deal with this problem. Based on the integral sliding surface of the design and linear matrix inequality, a sufficient condition which guarantees the sliding mode dynamics is asymptotically mean square admissible and has a prescribed H-infinity performance for a class of singular stochastic nonlinear systems is proposed. Furthermore, a sliding mode control law is synthesized such that the singular stochastic nonlinear system can be driven to the sliding surface in finite time. Finally, a numerical example is proposed to illustrate the effectiveness of the given theoretical results.
引用
收藏
页码：397 / 404
页数：8
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