A linear programming characterization of all stabilizing PID controllers Conference Paper uri icon

abstract

  • The YJBK parametrization characterizes all stabilizing controllers. In industry, most controllers are PID and there is no solution to the problem: can a plant P(s) be stabilized by a PID controller? In this paper, we provide an answer to this question. Besides settling the question of existence, we provide a computationally constructive characterization of all stabilizing PID controllers that stabilize a given plant. Thus this result is essentially an extension of the YJBK characterization restricted to PID's and opens up the possibility of optimal design using PID's. Proofs and all details are available in [1] and [2].

name of conference

  • Proceedings of the 1997 American Control Conference (Cat. No.97CH36041)

published proceedings

  • PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6

author list (cited authors)

  • Ho, M. T., Datta, A., & Bhattacharyya, S. P.

citation count

  • 86

complete list of authors

  • Ho, MT||Datta, A||Bhattacharyya, SP

publication date

  • January 1997