Output Feedback Stabilization Using Small-Gain Method and Reduced-Order Observer for Stochastic Nonlinear Systems

Author

Cong-Ran Zhao ; Xue-Jun Xie

Author_Institution

Inst. of Autom., Qufu Normal Univ., Qufu, China

Volume

58

Issue

2

fYear

2013

fDate

Feb. 2013

Firstpage

523

Lastpage

529

Abstract

This technical note further investigates more general stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics and focuses on solving the following problems: 1) a class of counterexamples which are different from that in are reconstructed to discuss the relationship between two small-gain type conditions on SiISS and 2) under the weaker conditions on nonlinearities, based on a reduced-order observer, small-gain type condition on SiISS and stochastic LaSalle theorem, an output feedback controller is constructed to guarantee the global asymptotical stability in probability of the closed-loop stochastic system.

Keywords

asymptotic stability; closed loop systems; feedback; nonlinear systems; observers; state feedback; stochastic systems; SiISS; asymptotical stability; closed-loop stochastic system; output feedback controller; output feedback stabilization; reduced order observer; small gain method; stochastic LaSalle theorem; stochastic integral input-to-state stability; stochastic nonlinear systems; Asymptotic stability; Closed loop systems; Nonlinear systems; Observers; Output feedback; Stability criteria; Output feedback stabilization; reduced-order observer; small-gain method; stochastic LaSalle theorem; stochastic nonlinear systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2208313

Filename

6238308