Anti-windup synthesis via sampled-data piecewise affine optimal control

  • Authors:

  • Alberto Bemporad;Andrew R. Teel;Luca Zaccarian

  • Affiliations:

  • Dipartimento di Ingegneria dell'Informazione, University of Siena, Via Roma 56, Siena 53100, Italy;Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA;Dipartimento di Informatica, Sistemi e Produzione, University of Rome, Tor Vergata, Via del Politecnico 1, Roma 00133, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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Abstract

Discrete-time receding horizon optimal control is employed in model-based anti-windup augmentation. The optimal control formulation enables designs that minimize the mismatch between the unconstrained closed-loop response with a given controller and the constrained closed-loop response with anti-windup augmentation. Recently developed techniques for off-line computation of the constrained linear regulator's solution, which is piecewise affine, facilitate implementation. The resulting sampled-data, anti-windup closed-loop system's properties are established and its performance is demonstrated on a simulation example.