Decentralized feedback stabilization of linear hereditary systems

Author

Lee, Jin S. ; Wang, P.K.C.

Author_Institution

Dept. of Electr. Eng., Pohang Inst. of Sci. & Technol., South Korea

fYear

1992

fDate

1992

Firstpage

1321

Abstract

An algebraic approach to the decentralized stabilization problem is considered in the framework of linear time-invariant hereditary systems. The problem considered is to determine conditions under which a stabilizable linear hereditary system can be made stabilizable from the input and output variables of a given control channel by static feedback applied to the other control channels. Then the observer-controller or the dynamic compensation scheme can be employed for this control channel in a standard way to make the closed-loop system stable. Necessary and sufficient conditions for the existence of stabilizing decentralized feedback controllers are presented and proved by using the fact that the number of unstable eigenvalues of a certain linear hereditary system is finite

Keywords

State estimation; closed loop systems; compensation; control system synthesis; decentralised control; distributed parameter systems; eigenvalues and eigenfunctions; feedback; linear systems; stability; state estimation; closed-loop system; decentralized feedback controllers; decentralized stabilization; dynamic compensation scheme; linear hereditary systems; observer-controller; static feedback; time-invariant hereditary systems; unstable eigenvalues; Adaptive control; Communication system traffic control; Control systems; Ear; Eigenvalues and eigenfunctions; Gold; Linear feedback control systems; Linear systems; Output feedback; Radio access networks; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371498

Filename

371498