Almost sure stability of second-order nonlinear stochastic system with Levy noise via sliding mode control

被引：13

作者：

Li, Mengling ^{[1
]}

Deng, Feiqi ^{[1
]}

Liu, Xinzhi ^{[2
]}

机构：

[1] South China Univ Technol, Sch Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2019年 / 29卷 / 17期

基金：

中国国家自然科学基金;

关键词：

almost sure stability; Levy noise; sliding mode control; stochastic system; STABILIZATION; DESIGN;

D O I：

10.1002/rnc.4707

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 almost sure stability of second-order nonlinear stochastic system with Levy noise is studied by sliding mode control method. A conventional linear sliding mode surface is first constructed, by employing stochastic analysis technique combined with Lyapunov function method, sufficient conditions are established to ensure the almost sure stability of the system dynamics. Then, a nonsingular terminal sliding mode control technique is used for our system, corresponding controller is designed to guarantee the desired performance. Finally, two examples are given to show the validity of our results.

引用

页码：6053 / 6063

页数：11

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