An observer-based robust tracking control for uncertain linear systems

Author

Al-hamid, M. ; Mehdi, D. ; Bourezak, K.

Author_Institution

ESIP-LAII, Poitiers, France

fYear

1997

fDate

1-7 July 1997

Firstpage

2259

Lastpage

2263

Abstract

In this paper, we treat the robust tracking problem for uncertain systems with value bounded uncertainties in the state matrix. The Linear Quadratic control is used and the state variables are provided by an observer which is based on the nominal system. The condition of feedback quadratic stability is implicitly guaranteed when the condition. under which the tracking error is bounded, is verified. The robust tracking controller is obtained by solving two Linear Matrix Inequalities. one to minimize the tracking error bound and the other to maximize its decaying rate.

Keywords

feedback; linear matrix inequalities; linear quadratic control; linear systems; matrix algebra; observers; position control; robust control; uncertain systems; feedback quadratic stability condition; linear matrix inequalities; linear quadratic control; observer-based robust tracking controller; state matrix; state variables; tracking error minimization; uncertain linear systems; value bounded uncertainties; Linear systems; Lyapunov methods; Observers; Robustness; Tracking loops; Uncertain systems; Uncertainty; Linear systems; Robust control; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082441