PID controller synthesis with shifted axis pole assignment for a class of MIMO systems

  • Authors:

  • A. N. Gündes;T. S. Chang

  • Affiliations:

  • Department of Electrical and Computer Engineering, University of California, Davis, CA;Department of Electrical and Computer Engineering, University of California, Davis, CA

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

For certain classes of linear, time-invariant, multi-input multi-output plants, a systematic synthesis is developed for stabilization using Proportional+Integral+Derivative (PID) controllers, where the closed-loop poles can be assigned to the left of an axis shifted away from the origin. The real-parts of the closed-loop poles can be smaller than the real-part of the largest transmission-zero of the plant. Plant classes that admit PID controllers with this property include stable and unstable multi-input multi-input plants with transmission-zeros in the left-half complex-plane.