Global output-feedback stabilization for stochastic nonlinear systems with stochastic input-to-state stable zero-dynamics

被引：0

作者：

Liu Shujun ^{[1
]}

Zhang Jifeng ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

Proceedings of the 24th Chinese Control Conference, Vols 1 and 2 | 2005年

关键词：

stochastic nonlinear system; integral backstepping method; stochastic input-to-state stable; zero-dynamics; output feedback stabilization;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the output-feedback stabilization problem for stochastic nonlinear systems with stochastic input-to-state stable (SISS) zero-dynamics is investigated. An output-feedback control is constructively designed by using the integral backstepping method. It is shown that under some general conditions, the closed-loop system is asymptotically stable in the large. The results generalize [6] from unobservable-dynamics-free systems to those with SISS unobservable-dynamics, [10] from linear feedback to nonlinear feedback, [11] from deterministic systems to stochastic systems.

引用

页码：93 / 98

页数：6

共 16 条

[1] Output-feedback stochastic nonlinear stabilization
Deng, H
Krstic, M
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (02) : 328 - 333
[2] Deng H, 2001, IEEE T AUTOMAT CONTR, V46, P1237, DOI 10.1109/9.940927
[3] LYAPUNOV-LIKE TECHNIQUES FOR STOCHASTIC STABILITY
FLORCHINGER, P
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (04) : 1151 - 1169
[4] KHASMINAKII RZ, 1980, STOCHASTIC STABILITY
[5] Krstic Miroslav., 1998, Stabilization of nonlinear uncertain systems, V1st
[6] Design of satisfaction output feedback controls for stochastic nonlinear systems under quadratic tracking risk-sensitive index
Liu, YG
Zhang, JF
Pan, ZG
[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2003, 46 (02): : 126 - 144
[7] Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost
Liu, YG
Pan, ZG
Shi, SJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) : 509 - 513
[8] LIU YG, 2005, IN PRESS SIAM J CONT
[9] Pan Z. G., 2001, SCI CHINA SER F, V44, P292
[10] Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion
Pan, ZG
Basar, T
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1999, 37 (03) : 957 - 995

← 1 2 →