Global stabilization of switched stochastic nonlinear systems in strict-feedback form under arbitrary switchings

被引：81

作者：

Hou, Mingzhe ^{[1
]}

Fu, Fengyu ^{[1
]}

Duan, Guangren ^{[1
]}

机构：

[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China

来源：

AUTOMATICA | 2013年 / 49卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Stochastic nonlinear system; Switched nonlinear system; Global stabilization; BACKSTEPPING CONTROLLER-DESIGN; DYNAMIC SURFACE CONTROL; STABILITY; TRACKING;

D O I：

10.1016/j.automatica.2013.04.031

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 is concerned with the problem of global stabilization in probability for a class of switched stochastic nonlinear systems under arbitrary switchings. The subsystems are assumed to be in strict-feedback form and driven by white noise. By introducing a common Lyapunov function, the common state feedback controller independent of switching signals is constructed based on the backstepping approach. It is proved that the zero solution of the closed-loop system is fourth-moment globally exponentially stable. Two examples are given to show the effectiveness of the proposed method. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：2571 / 2575

页数：5

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