Controle ∞ discreto por realimentação estática de saída obtendo o melhor resultado da formulação LMI por otimização evolutiva

Abstract

Linear matrix inequalities are a powerful tool in the field of analysis and synthesis of robust control systems. Robust control by static or dynamic output-feedback are more com- plicated to be formulated as convex optimization problems based on linear matrix inequalities. One strategy to obtain formulations for static output-feedback control synthesis is to transform a state-feedback control synthesis formulation through change of variables that requires a choice of a matrix. The choice of this matrix affects the performance of the resulting controller or even the existence of a feasible solution to the problem. We propose in this work to apply an evolutionary optimization algorithm to determine the optimal value of this matrix, and other parameters of the original formulation, to obtain the optimal ∞ robust control system. We present a case study to demonstrate the advantage of the proposed method.