Genetic algorithms for synthesis of mixed H/sub 2//H/sub /spl infin// fixed-structure controllers

A new method for synthesis of mixed H/sub 2//H/sub /spl infin// controllers is presented in this paper. The problem is formulated as the minimization of a nominal H/sub 2/ performance index subject to a H/sub /spl infin// robust stability constraint. The novel method based on two real-coded genetic algorithms (GA) with appropriate operators and a penalty function is proposed for the solution of the optimization problem. Simulation results are given to illustrate the new approach, and to show the validity of the proposed synthesis method.