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

作　　者：Jian ZHANG Yungang LIU 

机构地区：[1]School of Control Science and Engineering, Shandong University [2]Department of Mathematics, Zhengzhou University

出　　处：《控制理论与应用（英文版）》2013年第3期343-350,共8页

基　　金：supported by the National Natural Science Foundations of China (Nos. 60974003, 61143011, 61273084, 61233014);the Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China (No. JQ200919);the Independent Innovation Foundation of Shandong University (No. 2012JC014)

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.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.

关 键 词：Stochastic nonlinear systems Uncertain control coefficients Nonsmooth stabilization Output-feedback control Adding a power integrator 

分 类 号：O231.3[理学—运筹学与控制论]