Continuous output-feedback stabilization for a class of stochastic high-order nonlinear systems

被引：11

作者：

Zhang J. ^{[1
,2
]}

Liu Y. ^{[1
]}

机构：

[1] School of Control Science and Engineering, Shandong University, Jinan Shandong

[2] Department of Mathematics, Zhengzhou University, Zhengzhou Henan

来源：

J. Control Theory Appl. | 2013年 / 3卷 / 343-350期

基金：

中国国家自然科学基金;

关键词：

Adding a power integrator; Nonsmooth stabilization; Output-feedback control; Stochastic nonlinear systems; Uncertain control coefficients;

D O I：

10.1007/s11768-013-2166-z

中图分类号：

学科分类号：

摘要：

This paper is concerned with the global stabilization via output-feedback for a class of high-order stochastic nonlinear systems with unmeasurable states dependent growth and uncertain control coefficients. Indeed, there have been abundant deterministic results which recently inspired the intense investigation for their stochastic analogous. However, because of the possibility of non-unique solutions to the systems, there lack basic concepts and theorems for the problem under investigation. First of all, two stochastic stability concepts are generalized to allow the stochastic systems with more than one solution, and a key theorem is given to provide the sufficient conditions for the stochastic stabilities in a weaker sense. Then, by introducing the suitable reduced order observer and appropriate control Lyapunov functions, and by using the method of adding a power integrator, a continuous (nonsmooth) output-feedback controller is successfully designed, which guarantees that the closed-loop system is globally asymptotically stable in probability. © 2013 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：343 / 350

页数：7

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