Synthesis of dynamic feedback controllers for uncertain linear systems

An algorithm for the synthesis of dynamic feedback controllers, using linear programming, is presented. The uncertainty considered is of the parametric type and is present in all the system matrices (A,B,C). The proposed algorithm is based on the Lyapunov asymptotic stability condition, which being linear in both the controller and the Lyapunov candidate, allows a linear programming formulation of the problem. The algorithm maximizes locally the uncertainty which might be effectively stabilized. The controllers so obtained are of full order.