Robust pole location by parameter dependent state feedback control

Author

Leite, Valter J S ; Montagner, Vidcius F. ; Peres, Pedro L D

Volume

2

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

1864

Abstract

Sufficient conditions are given for the existence of a parameter dependent state feedback control assuring to a linear uncertain closed-loop system the pole location inside a circle in the complex plane. The uncertainties are supposed to belong to a polytope domain described by its vertices. The robust stabilizability condition is formulated in terms of a set of linear matrix inequalities involving only the vertices of the polytope. Extensions to cope with decentralized and output feedback parameter dependent control gains are also presented. Examples illustrate the results.

Keywords

Lyapunov methods; closed loop systems; linear matrix inequalities; linear systems; pole assignment; robust control; state feedback; uncertain systems; linear matrix inequalities; linear uncertain closed-loop system; parameter dependent state feedback control; polytopic uncertainty; robust pole location; robust stabilizability condition; sufficient conditions; Control systems; Linear feedback control systems; Linear systems; Lyapunov method; Robust control; Robustness; Stability; State feedback; Sufficient conditions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184796

Filename

1184796