Title :
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
fDate :
1/1/2000 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
