An LMI-Based Genetic Algorithm for Guaranteed Cost Control

In this paper a new approach for the Guaranteed Cost Control Problem (GCCP) is presented, using two efficient tools, Linear Matrix Inequalities (LMIs) and Genetic Algorithms (GAs). A linear system with parametric uncertainty is considered for which a control law is to be found, minimizing a performance index. In a previous paper, an efficient method has been presented by using an LMI optimisation technique. A combined use of LMIs and GAs is proposed in the present approach that allows further improvement of the design procedure.