Decentralized control and periodic feedback

Author

Khargonekar, Pramod P. ; OzgÜler, A. Bulent

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

39

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

877

Lastpage

882

Abstract

The decentralized stabilization problem for linear, discrete-time, periodically time-varying plants using periodic controllers is considered. The main tool used is the technique of lifting a periodic system to a time-invariant one via extensions of the input and output spaces. It is shown that a periodically time-varying system of fundamental period N can be stabilized by a decentralized periodic controller if and only if: 1) the system is stabilizable and detectable, and 2) the N-lifting of each complementary subsystem of identically zero input-output map is free of unstable input-output decoupling zeros. In the special case of N=1, this yields and clarifies all the major existing results on decentralized stabilization of time-invariant plants by periodically time-varying controllers

Keywords

decentralised control; discrete time systems; feedback; linear systems; optimal control; time-varying systems; decentralized control; decentralized stabilization; linear discrete-time periodically time-varying plants; periodic controllers; periodic feedback; time-invariant plants; Control systems; Councils; Distributed control; Feedback control; Military computing; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.286275

Filename

286275