Decentralized stabilization of a class of interconnected stochastic nonlinear systems

Author

Xie, Shoulie ; Xie, Lihua

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore

Volume

45

Issue

1

fYear

2000

fDate

1/1/2000 12:00:00 AM

Firstpage

132

Lastpage

137

Abstract

This paper focuses on a class of large-scale interconnected stochastic nonlinear systems. The interconnections are bounded by strong nonlinear functions that contain first order and higher order polynomials as special cases. The problem we address is to design a decentralized controller such that the closed-loop, large-scale, interconnected stochastic nonlinear system is globally asymptotically stable in probability for all admissible interconnections. It is shown that the decentralized global stabilization via both state feedback and output feedback can be solved by a Lyapunov-based recursive design method

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; decentralised control; interconnected systems; nonlinear control systems; nonlinear functions; polynomials; state feedback; stochastic systems; Lyapunov-based recursive design method; closed-loop large-scale interconnected stochastic nonlinear system; decentralized controller; decentralized stabilization; first order polynomials; global asymptotic stability; higher order polynomials; output feedback; probability; state feedback; strong nonlinear functions; Control systems; Design methodology; Large-scale systems; Nonlinear control systems; Nonlinear systems; Output feedback; Polynomials; State feedback; Stochastic processes; Stochastic systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.827370

Filename

827370