Simultaneous stabilization of linear systems by linear state feedback synthesis based on Simulated Annealing

In this paper we present the use of Simulating Annealing as optimization method to the solution of Simultaneous Stabilization (SS) problem. Many authors has resolve SS problem by transforming it to a nonlinear optimization Finding the feedback gains is equivalent to search for the global minima of the optimization problem. So we need a global minimum search method to prove the necessary and sufficient conditions for the solution of SS problem. We show in this paper that implementation using Simulated Annealing minimum searching method is easier and the sufficient conditions may be transformed to necessary and sufficient one. We also introduce some performance criteria which permits to render the solution applicable in real applications.