A randomized algorithm for robust stabilization via static-output-feedbacks

Abstract

A new theorem regarding the robust-stability hypercube-tolerance with respect to the specific system defined by the middle-point of a hyper-cube and a given stabilizing static-output-feedback for it, is proved. Based on the theorem and using the Ray-Shooting Method, a randomized algorithm for the problem of robust stabilization via static-output-feedback is suggested. The suggested algorithm has several advantages over existing LMI based algorithms and can easily incorporate structural and other constraints on the controller.