Stability and disturbance tolerance for linear systems with bounded controls

Author

Tarbouriech, S. ; Gomes da Silva Junior, J.M. ; Garcia, G.

Author_Institution

L.A.A.S., Toulouse, France

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

3219

Lastpage

3224

Abstract

This paper addresses the problem of stabilization of linear systems subject to both model uncertainties, additive disturbance and input limits. A design technique, based both on the solution of a τ-parameterized family of Riccati equations and the use of the S-procedure, is proposed to compute a piecewise linear state feedback control law. The links and tradeoffs between tolerance to the additive disturbance and the size of the region where it is possible to guarantee the stability are discussed.

Keywords

Riccati equations; control system synthesis; linear systems; piecewise linear techniques; stability; state feedback; uncertain systems; τ-parameterization; Riccati equations; S-procedure; additive disturbance tolerance; bounded control; input limits; linear system; model uncertainties; piecewise linear state feedback control law; stabilization problem; Closed loop systems; Ellipsoids; Equations; Mathematical model; Symmetric matrices; Trajectory; Uncertainty; Linear continuous-time systems; bounded control; disturbance; stability and disturbance tolerance; uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076428