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

页码：397 / 404

页数：8

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