An LMI solution to the robust synthesis problem for multi-rate sampled-data systems

  • Authors:
  • Sanjay Lall;Geir Dullerud

  • Affiliations:
  • Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305-4035, USA;Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, IL 61801, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2001

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Abstract

In this paper we address the asynchronous multi-rate sampled-data H"~ synthesis problem. Necessary and sufficient conditions are given for the existence of a controller achieving the desired performance, and the problem is shown to be equivalent to a convex optimization problem expressed in the form of linear operator inequalities. In the case where the sample and hold rates are synchronous, these operator inequalities reduce to linear matrix inequalities, for which standard numerical software is available.