Linear programming characterization of all stabilizing PID controllers

Ming-Tzu Ho, Aniruddha Datta, S. P. Bhattacharyya

Research output: Contribution to journalConference articlepeer-review

119 Citations (Scopus)


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].

Original languageEnglish
Pages (from-to)3922-3928
Number of pages7
JournalProceedings of the American Control Conference
Publication statusPublished - 1997 Jan 1
EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
Duration: 1997 Jun 41997 Jun 6

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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