Dual results for LPV systems

Author

Bianchini, E. ; Miani, S.

Author_Institution

Dipt. di Mat. e Inf., Univ. of Udine, Udine, Italy

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

3068

Lastpage

3073

Abstract

We face the problem of stabilizing Linear Parameter Varying systems by means of Gain Scheduling Control. This technique consists on designing a controller which is able to update its parameters on-line according to the variations of the plant parameters. We first consider the state feedback case and we show a design procedure based on the construction of a Lyapunov function for discrete-time LPV systems in which the parameter variations are affine and occur in the state matrix only Then we show that this procedure has a dual version which leads to the construction of a linear gain scheduling observer. The two procedures may be combined to derive an observer-based gain scheduling compensator.

Keywords

Lyapunov methods; control system synthesis; discrete time systems; linear parameter varying systems; matrix algebra; observers; state feedback; Lyapunov function; affine parameter variations; controller design procedure; discrete-time LPV systems; gain scheduling control; linear gain scheduling observer; linear parameter varying system stabilization problem; observer-based gain scheduling compensator; plant parameters; state feedback; state matrix; Dynamic scheduling; Equations; Lyapunov methods; Observers; Robustness; State feedback; LPV systems; Lyapunov design; scheduling;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076402