Tolerance design of robust controllers for uncertain interval systems based on evolutionary algorithms

Chen-Chien James Hsu, S. C. Chang, C. Y. Yu

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

A multi-objective genetic algorithm approach is proposed to design tolerance controllers for uncertain interval systems. Given a set of specifications in terms of acceptability ranges of gain margin (GM) and phase margin (PM), the design objective is to evolutionarily derive controllers such that closed-loop stability and desired dynamic performance are guaranteed. On the basis of extremal design philosophy, the design problem is first formulated as constrained optimisation problems based on deviation between the desired and extremal GM/PM of the resulting loop-transfer function, and subsequently optimised via the proposed genetic algorithm. To ensure robust stability of the closed-loop system, root locations associated with the generalised Kharitonov segment polynomials will be used to establish a constraints handling mechanism, on the basis of which fitness functions can be constructed for effective evaluation of chromosomes in the current population. Because of the cost functions that adopt the concept of centrality, evolution is directed towards derivation of Pareto-optimal solutions of the tolerance controllers with better centrality and limited spreading along the desired region of acceptability, resulting in more consistent system performances and improved robustness of the closed-loop system.

Original languageEnglish
Pages (from-to)244-252
Number of pages9
JournalIET Control Theory and Applications
Volume1
Issue number1
DOIs
Publication statusPublished - 2007 Jan 22

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Interval Systems
Uncertain systems
Uncertain Systems
Evolutionary algorithms
Margin
Tolerance
Evolutionary Algorithms
Controller
Controllers
Centrality
Closed loop systems
Closed-loop System
Genetic algorithms
Constraint Handling
Multi-objective Genetic Algorithm
Pareto Optimal Solution
Dynamic Performance
Constrained optimization
Robust Stability
Constrained Optimization Problem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

Tolerance design of robust controllers for uncertain interval systems based on evolutionary algorithms. / Hsu, Chen-Chien James; Chang, S. C.; Yu, C. Y.

In: IET Control Theory and Applications, Vol. 1, No. 1, 22.01.2007, p. 244-252.

Research output: Contribution to journalArticle

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