In this paper, the nonlinear scheduled anti-windup approach of Zaccarian and Teel (2004) is revisited in light of a new sector condition which allows for more general results. The main contribution of the paper is to transform the hysteresis switching design into a Lipschitz (continuous) nonlinear control law which allows to guarantee global results with non exponentially unstable plants (this is a necessary condition for global results) and regional results with large stability regions with exponentially unstable plants. The main tool exploited here is a continuously parameterized Lyapunov function that leads to a nonlinear antiwindup compensator. The effectiveness of the approach is illustrated on simulation examples where it is compared to the switching approach.

Galeani, S., Onori, S., Teel, A., Zaccarian, L. (2007). Nonlinear L_2 anti-windup for enlarged stability regions and regional performance. In IFAC Proceedings Volumes (pp.687-692). Elsevier [10.3182/20070822-3-ZA-2920.00113].

Nonlinear L_2 anti-windup for enlarged stability regions and regional performance

GALEANI, SERGIO;Onori, S;ZACCARIAN, LUCA
2007-08-01

Abstract

In this paper, the nonlinear scheduled anti-windup approach of Zaccarian and Teel (2004) is revisited in light of a new sector condition which allows for more general results. The main contribution of the paper is to transform the hysteresis switching design into a Lipschitz (continuous) nonlinear control law which allows to guarantee global results with non exponentially unstable plants (this is a necessary condition for global results) and regional results with large stability regions with exponentially unstable plants. The main tool exploited here is a continuously parameterized Lyapunov function that leads to a nonlinear antiwindup compensator. The effectiveness of the approach is illustrated on simulation examples where it is compared to the switching approach.
7th IFAC Symposium on Nonlinear Control Systems
Rilevanza internazionale
contributo
ago-2007
Settore ING-INF/04 - AUTOMATICA
English
anti-windup compensation,input saturation,scheduled design
Intervento a convegno
Galeani, S., Onori, S., Teel, A., Zaccarian, L. (2007). Nonlinear L_2 anti-windup for enlarged stability regions and regional performance. In IFAC Proceedings Volumes (pp.687-692). Elsevier [10.3182/20070822-3-ZA-2920.00113].
Galeani, S; Onori, S; Teel, A; Zaccarian, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/50195
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