Controle H-infinito por realimentação estática de saída combinando otimização evolutiva e formulações LMI

Abstract

Linear matrix inequality formulations are an important tool to tackle both analysis as well synthesis of control systems, specially for uncertain systems represented by polytopic models. Linear matrix inequalities are applied with success to robust state-feedback control synthesis. On the other hand, robust static or dynamic output-feedback control synthesis are more complicated to formulate as a convex optimization problem. Two different strategies for obtaining LMI formulations for static output feedback control synthesis require the calculation of an initial gain or the choice of a matrix that affect the performance of the resulting controller or even the existence of a feasible solution. In this work we propose to select and apply an optimization algorithm to calculate the initial gain or matrix to obtain the optimal robust H-infinity control system. We present two case studies to demonstrate the advantage of combining optimization with LMI formulations.