Multiobjective Controller Design: Optimising Controller Structure With Genetic Algorithms

Authors:	Molina-Cristobal Arturo, The University of Sheffield, United Kingdom Griffin Ian A, The University of Sheffield, United Kingdom Fleming Peter J, The University of Sheffield, United Kingdom Owens David H, The University of Sheffield, United Kingdom
Topic:	2.4 Optimal Control
Session:	Evolutionary Computation in Control Systems Engineering
Keywords:	multiobjective optimisation, genetic algorithms, linear matrix inequalities, fixed-order systems, order reduction, computer-aided control systems design

Abstract

This paper studies the open problem of reduced- and fixed-order H-infinity synthesis. Often, this non-convex constraint is tackled with iterative convex optimisation procedure over LMI constraints. In this paper, an evolutionary approach is proposed such that the trial and error approach involved in LMI techniques might be overcome. The order of the controller is optimised as a multiobjective problem over a set of controller structures, H-infinity, and time-domain specifications. Numerical results are presented with its counterpart the LMI procedure design, that show the advantage of investigating the Pareto optimal set resulting from the design procedure proposed. Copyright © 2005 IFAC