Decentralized stabilization of singular and time-delay large-scale control systems with impulsive solutions

Author

Guan, Zhi-Hong ; Liu, Yong-Qing ; Wen, Xiang-Cai

Author_Institution

Dept. of Autom., South China Univ. of Technol., Guangzhou, China

Volume

40

Issue

8

fYear

1995

fDate

8/1/1995 12:00:00 AM

Firstpage

1437

Lastpage

1441

Abstract

Decentralized stabilization of singular and time-delay large-scale control systems with impulsive solutions which has not been studied up to now is introduced and studied. The control problem considered is the construction of a decentralized controller which ensures that a certain singular, impulsive, and time-delay closed-loop large-scale system is exponentially stable. By means of lumped Picard and Gauss-Seidel iteration methods which enable the authors to avoid the difficulties of constructing Lyapunov functions, explicit algebraic criteria of stabilization for such systems are established. An example is given to illustrate the effectiveness of results obtained

Keywords

closed loop systems; control system synthesis; decentralised control; delay systems; delays; iterative methods; large-scale systems; stability; stability criteria; Gauss-Seidel iteration methods; algebraic criteria; decentralized stabilization; lumped Picard iteration method; singular systems; time-delay large-scale control systems; Automation; Biological system modeling; Chemical technology; Control system synthesis; Control systems; Delay effects; Delay systems; Gaussian processes; Large-scale systems; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.402236

Filename

402236