PID controller design for robust performance

Ming-Tzu Ho, Chia Y. Lin

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


This paper is devoted to the problem of synthesizing proportional-integral-derivative (PID) controllers for a given single-input single-output plant so that the closed-loop system is robustly stabilized and the desired performance specifications are satisfied despite plant uncertainty. First, the problem of robust performance design is converted into simultaneous stabilization of a complex polynomial family. An extension of the results on PID stabilization is then used to devise a linear programming design procedure for determining all admissible PID gain settings. In particular, it is shown that for a fixed proportional gain, the set of admissible integral and derivative gains is a union of convex sets.

Original languageEnglish
Pages (from-to)1062-1067
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 2002

All Science Journal Classification (ASJC) codes

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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