Stabilization for linear discrete-time systems with bounded controls and norm-bounded time-varying uncertainty

Author

Tarbouriech, Sophie ; Garcia, Germain

Author_Institution

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

fYear

1997

fDate

1-7 July 1997

Firstpage

2955

Lastpage

2960

Abstract

The local stabilization of linear discrete-time systems subject to bounded controls and suffering from uncertainty of the norm-bounded time-varying type is addressed. From the solution of a certain discrete Riccati equation, a control gain and a set of safe initial conditions are obtained. The asymptotic stability of the saturated closed-loop system is then locally guaranteed for all admissible uncertainties. The connections between these results and the disturbance rejection problem are investigated.

Keywords

Riccati equations; asymptotic stability; closed loop systems; discrete time systems; linear systems; time-varying systems; uncertain systems; admissible uncertainties; asymptotic stability; bounded controls; control gain; discrete Riccati equation; disturbance rejection problem; initial conditions; linear discrete-time systems; local stabilization; norm-bounded time-varying uncertainty; saturated closed-loop system; Asymptotic stability; Discrete-time systems; Stability analysis; State feedback; Symmetric matrices; Trajectory; Uncertainty; Robust Control; Stability; System Theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082560