Brief Finite gain stabilization of discrete-time linear systems subject to actuator saturation

  • Authors:
  • Xiangyu Bao;Zongli Lin;Eduardo D. Sontag

  • Affiliations:
  • Department of Electrical Engineering, University of Virginia, Charlottesville, VA 22903, USA;Department of Electrical Engineering, University of Virginia, Charlottesville, VA 22903, USA;Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2000

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Abstract

It is shown that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain l"p stabilization can be achieved by linear output feedback, for all p@?(1,~]. An explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closed-loop system that is globally asymptotically stable, and in an input-to-state estimate.