Brief paper: Reliable stabilization using a multi-controller configuration

  • Authors:
  • M. Vidyasagar;N. Viswanadham

  • Affiliations:
  • Department of Electrical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 391;School of Automation, Indian Institute of Science, Bangalore 560 012, India

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1985

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Abstract

Given a plant P, we consider the problem of designing a pair of controllers C"1 and C"2 such that their sum stabilizes P, and in addition, each of them also stabilizes P should the other one fail. This is referred to as the reliable stabilization problem. It is shown that every strongly stabilizable plant can be reliably stabilized; moreover, one of the two controllers can be specified arbitrarily, subject only to the constraint that it should be stable. The stabilization technique is extended to reliable regulation.