An LMI approach to the output-feedback guaranteed cost control for uncertain time-delay systems

Author

Esfahani, Said H. ; Petersen, Ian R.

Author_Institution

Sch. of Electr. Eng., Australian Defence Force Acad., Canberra, ACT, Australia

Volume

2

fYear

1998

fDate

16-18 Dec 1998

Firstpage

1358

Abstract

This paper considers the problem of output-feedback guaranteed cost controller design for uncertain time-delay systems The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. It is proved that the existence of the guaranteed cost controller is equivalent to the feasibility of certain matrix inequalities. A numerical algorithm is developed to construct a full order output-feedback controller that minimizes a specific cost bound for a quadratic performance index

Keywords

control system synthesis; delay systems; feedback; matrix algebra; minimisation; performance index; time-varying systems; uncertain systems; LMI; cost bound minimization; full order output-feedback controller; linear matrix inequalities; measurement equation; norm-bounded time-varying uncertainty; numerical algorithm; output-feedback guaranteed cost controller design; quadratic performance index; state equation; uncertain time-delay systems; Australia; Control systems; Costs; Delay systems; Equations; Force control; Linear matrix inequalities; Robust control; Robust stability; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758474

Filename

758474