State-feedback stabilization for stochastic high-order nonholonomic systems with Markovian switching

被引：14

作者：

Du Qinghui ^{[1
]}

Wang Chaoli ^{[1
]}

Wang Gang ^{[1
]}

Zhang Dongkai ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Shanghai 200093, Peoples R China

[2] Shijiazhuang Univ, Dept Math, Shijiazhuang 050000, Hebei, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2015年 / 18卷

基金：

中国国家自然科学基金;

关键词：

Stochastic high-order nonholonomic systems; State-feedback stabilization; Markovian switching; Input-state-scaling; Adding a power integrator; SLIDING-MODE CONTROL; NONLINEAR-SYSTEMS; JUMPING SYSTEMS; STABILITY;

D O I：

10.1016/j.nahs.2015.03.003

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 investigates the problem of stabilization control design for a class of stochastic high-order nonholonomic systems with Markovian switching. A state feedback controller is obtained by using input-state scaling technique and the generalized Ito formula, and adding a power integrator backstepping approach. The switching strategy is proposed to eliminate the phenomenon of uncontrollability and to guarantee that closed-loop system has a unique solution and the solution of the closed-loop systems is almost surely asymptotically stable. Simulation examples demonstrate the effectiveness of the proposed scheme. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：1 / 14

页数：14

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