Feedback control of singularly perturbed stochastic hybrid systems

Author

Tsai, Ching-Chih

Author_Institution

Dept. of Electr. Eng., Nat. Chung-Hsing Univ., Taichung, Taiwan

Volume

4

fYear

1995

fDate

21-23 Jun 1995

Firstpage

2478

Abstract

This paper addresses the stability properties and stabilization schemes for a class of stochastic hybrid systems. Such systems switch among a finite number of linear singularly perturbed system models with switched behavior governed by a nearly completely decomposable finite state Markov chain. The stability properties of the decoupled slow subsystem, fast subsystem, and the overall system are examined. Linear switching stabilization schemes with perfect as well as imperfect Markov chain detectors are developed to stabilize the overall system. Two examples are provided to illustrate the stabilization schemes

Keywords

Markov processes; feedback; singularly perturbed systems; stability; stochastic systems; fast subsystem; feedback control; imperfect Markov chain detectors; linear singularly perturbed system models; linear switching stabilization schemes; nearly completely decomposable finite state Markov chain; perfect Markov chain detectors; singularly perturbed stochastic hybrid systems; slow subsystem; stability properties; switched behavior; Air traffic control; Asymptotic stability; Command and control systems; Communication system traffic control; Detectors; Feedback control; Military communication; Random processes; Stochastic systems; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.532290

Filename

532290