DocumentCode :
404528
Title :
Stabilization of LPV systems: state feedback, state estimation and duality
Author :
Blanchini, Franco ; Miani, Stefano
Author_Institution :
DIMI, Udine Univ., Italy
Volume :
2
fYear :
2003
fDate :
9-12 Dec. 2003
Firstpage :
1492
Abstract :
In this paper, the problem of the stabilization of linear parameter varying systems by means of gain scheduling control is considered. 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. This procedure produces a nonlinear static controller. We show that, differently from the robust stabilization case, we can always derive a linear controller, that is nonlinear controllers cannot outperform linear ones for the gain scheduling problem. 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; duality (mathematics); linear systems; nonlinear control systems; state feedback; Lyapunov function; duality; gain scheduling control; linear parameter varying systems; nonlinear static controller; stabilization; state estimation; state feedback; state matrix; Construction industry; Control systems; Electrical equipment industry; Gain measurement; Job shop scheduling; Performance gain; Robust control; Robustness; State estimation; State feedback;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7924-1
Type :
conf
DOI :
10.1109/CDC.2003.1272823
Filename :
1272823
Link To Document :
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