Brief paper: Algebraic and topological aspects of the regulator problem for lumped linear systems

  • Authors:

  • Bruce A. Francis;M. Vidyasagar

  • Affiliations:

  • Department of Electrical Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada;Department of Electrical Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1983

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Abstract

The regulator problem with robustness is solved for systems modelled by rational transfer matrices. A topology for possibly unstable plants is presented. A necessary and sufficient condition is derived for the existence of a proper controller which provides internal stability and output regulation throughout an open neighbourhood of the plant. A characterization of all such controllers is determined.