Simultaneous global external and internal stabilization of linear time-invariant discrete-time systems subject to actuator saturation

  • Authors:

  • Xu Wang;Ali Saberi;Anton A. Stoorvogel;Peddapullaiah Sannuti

  • Affiliations:

  • School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA;School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA;Department of Electrical Engineering, Mathematics, and Computing Science, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;Department of Electrical and Computer Engineering, Rutgers University, 94 Brett Road, Piscataway, NJ 08854-8058, USA

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

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Abstract

Simultaneous external and internal stabilization in a global framework for linear time-invariant discrete-time systems subject to actuator saturation is considered. Internal stabilization is in the sense of Lyapunov while external stabilization is in the sense of @?"p stability with different variations, e.g. with or without finite gain, with fixed or arbitrary initial conditions, with or without bias. Several simultaneous external and internal stabilization problems, all in the global framework, are studied in depth. Moreover, we present a design for appropriate adaptive low-and-high gain feedback controllers that achieve the intended simultaneous external and internal stabilization whenever such problems are solvable.