Design of optimal controllers for interval plant via a two-phase evolutionary approach

Chen Chien Hsu*, Chih Yung Yu

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)


Design of optimal controllers minimizing the integral of squared error (ISE) of the closed-loop system for interval plant via an evolutionary approach is proposed in this paper. By using a worst-case design approach, the design problem is formulated as a minimax optimization problem, and subsequently solved by two interactive genetic algorithms. To ensure robust stability of the closed-loop system, root locations associated with the characteristic polynomial are used to construct a penalty function for incorporation into the fitness function to effectively evaluate chromosomes in the current population. Thus, the optimal controllers evolutionarily derived not only stabilize the interval plant, but also minimize the ISE criterion of the closed-loop system.

Original languageEnglish
Pages (from-to)4439-4444
Number of pages6
JournalProceedings of the IEEE International Conference on Systems, Man and Cybernetics
Publication statusPublished - 2003
Externally publishedYes
EventSystem Security and Assurance - Washington, DC, United States
Duration: 2003 Oct 52003 Oct 8


  • Genetic algorithms
  • ISE
  • Interval plants
  • Minimax optimization
  • Robust controllers

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Hardware and Architecture


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