Model recovery anti-windup for continuous-time rate and magnitude saturated linear plants

  • Authors:
  • Fulvio Forni;Sergio Galeani;Luca Zaccarian

  • Affiliations:
  • Department of Electrical Engineering and Computer Science, University of Liè/ge, 4000 Liè/ge, Belgium;Université/ de Toulouse/ UPS, INSA, INP, ISAE, UT1, UTM, LAAS/ F-31077, Toulouse, France;CNRS/ LAAS/ 7 avenue du Colonel Roche F-31077, Toulouse, France and Université/ de Toulouse/ UPS, INSA, INP, ISAE, UT1, UTM, LAAS/ F-31077, Toulouse, France and Dipartimento di Informatica, Si ...

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2012

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Abstract

In this paper two approaches are given for anti-windup design for nonlinear control systems with linear plants subject to limitations both in the magnitude and the rate of variation of the control input. Both approaches are based on the so-called Model Recovery Anti-Windup (MRAW) framework. The first approach is built by treating the rate + magnitude saturation as a single dynamic nonlinearity, while in the second one, the dynamic compensator dynamics is extended with extra states to treat the two saturations separately. Both approaches lead to global stability with exponentially stable plants and local stability in all other cases. For both approaches, stability and performance guarantees are proven, numerical recipes are given and the relative merits are comparatively highlighted on a simulation example.