Design of optimal controller for interval plant from signal energy point of view via evolutionary approaches

Chen Chien Hsu*, Chih Yung Yu

*此作品的通信作者

研究成果: 雜誌貢獻通訊期刊論文同行評審

26 引文 斯高帕斯(Scopus)

摘要

Design of an optimal controller minimizing the integral of squared error (ISE) of the closed-loop system for an interval plant via evolutionary approaches is proposed in this paper. Based on a worst-case design philosophy, the design problem is formulated as a minimax optimization problem from the signal energy point of view, and subsequently solved by two interactive genetic algorithms. To ensure robust stability of the closed-loop system, root locations of the Kharitonov polynomials associated with the characteristic polynomial are used to establish a constraint handling mechanism for incorporation into the fitness function to effectively evaluate chromosomes in the current population. To accelerate the derivation process to obtain the optimal controller, alternative approaches based on the two-phase evolutionary scheme are also proposed, in which the worst-case ISE is suitably estimated via information provided by the Kharitonov plants. Thus, the derived controller not only stabilizes the interval plant, but also minimizes the ISE criterion of the closed-loop system. Constraints on higher order plants and controller order commonly encountered by conventional design methods are therefore removed by using the proposed approach.

原文英語
頁(從 - 到)1609-1617
頁數9
期刊IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
34
發行號3
DOIs
出版狀態已發佈 - 2004 6月
對外發佈

ASJC Scopus subject areas

  • 控制與系統工程
  • 軟體
  • 資訊系統
  • 人機介面
  • 電腦科學應用
  • 電氣與電子工程

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