Robust PID Controller Design for Plants with Structured and Unstructured Uncertainty

Ming-Tzu Ho, Sheng Tsai Huang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we consider the problems of synthesizing PID controllers for robust stability and performance for a given linear time-invariant plant subject to both parametric and H-norm-bounded perturbations. Using results from the area of parametric robust control, synthesis problems are converted into simultaneous stabilization of a family of complex segment polynomials. The results on H PID synthesis are then used to devise a linear programming design procedure for determining the admissible PID gain values. One of the important features of the proposed method is that it constructively characterizes the entire set of admissible PID controllers. This characterization can facilitate the optimal design of any additional design requirements.

Original languageEnglish
Pages (from-to)780-785
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
Publication statusPublished - 2003

Fingerprint

PID Controller
Controller Design
Simultaneous Stabilization
Synthesis
Uncertainty
Controllers
Robust Performance
Robust Stability
Robust control
Robust Control
Linear programming
Linear Time
Stabilization
Polynomials
Entire
Perturbation
Norm
Polynomial
Invariant
Requirements

All Science Journal Classification (ASJC) codes

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

Cite this

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Robust PID Controller Design for Plants with Structured and Unstructured Uncertainty. / Ho, Ming-Tzu; Huang, Sheng Tsai.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 1, 2003, p. 780-785.

Research output: Contribution to journalArticle

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