Derivative based control for LTV system with unknown parameters

Author

Maalej, Samah ; Kruszewki, Alexandre ; Belkoura, L.

Author_Institution

LAGIS (Lab. d´Autom., Genie Inf. et Signal, Univ. de Lille 1, Villeneuve-d´Ascq, France

fYear

2013

fDate

17-19 July 2013

Firstpage

1341

Lastpage

1346

Abstract

This paper deals with the robust stabilization of a class of linear time varying systems. Instead of using a state observer or having dynamic structure, the controller is based on output derivative estimation. This allows the stabilization of linear time varying systems with very large parameter variation and a small number of controller parameters. The proof of stability is based on the polytopic representation of the closed loop and Lyapunov conditions. The result is proposed in a LinearMatrix Inequality (LMI) form. The validity of this approach is illustrated by a second order system case of study.

Keywords

Lyapunov methods; closed loop systems; linear matrix inequalities; linear systems; observers; robust control; time-varying systems; LMI form; LTV system; Lyapunov conditions; closed loop; controller parameters; derivative based control; dynamic structure; linear matrix inequality form; linear time varying systems; output derivative estimation; parameter variation; polytopic representation; robust stabilization; second order system; stability; state observer; unknown parameters; Asymptotic stability; Equations; Mathematical model; Observers; Stability analysis; Time-varying systems; Linear Matrix Inequalities; Linear Time Varying systems; Polytopic systems; Robust control; Uncertainties;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2013 European

Conference_Location

Zurich

Type

conf

Filename

6669730