Constrained robust guaranteed cost control for uncertain linear time-delay system

Author

Trofino, Alexandre ; Li, Huaizhong ; Dugard, Luc ; Dion, Jean-Michel ; Niculescu, Silviu-Iulian

Author_Institution

Dept. Autom. e Sistemas, Univ. Fed. de Santa Catarina, Florianopolis, Brazil

Volume

2

fYear

1997

fDate

10-12 Dec 1997

Firstpage

1615

Abstract

This paper is concerned with constrained robust guaranteed cost control for uncertain linear time-delay systems using a linear matrix inequality (LMI) approach. Provided with necessary conditions, the problem considered is to design a static state feedback controller for a class of linear uncertain time-delay systems such that the following three goals are achieved simultaneously: 1) the closed-loop systems with this controller are robustly stable; 2) a given quadratic performance index for the systems is guaranteed to be below a known upper bound; and 3) the control input is norm bounded. We show that the solvability of the addressed problem is implied by the feasibility of some linear matrix inequalities

Keywords

closed loop systems; computability; delay systems; linear systems; matrix algebra; performance index; robust control; state feedback; uncertain systems; closed-loop systems; constrained robust guaranteed cost control; linear matrix inequality; linear systems; necessary conditions; quadratic performance index; solvability; static state feedback; time-delay systems; uncertain systems; upper bound; Automatic control; Control systems; Costs; Delay systems; Linear feedback control systems; Linear matrix inequalities; Robust control; State feedback; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657733

Filename

657733