Static output feedback design for uncertain linear discrete time systems

Abstract

In this paper we deal with the class of uncertain discrete‐time linear systems. The polytopic uncertainty type is considered in this work. For the certain and uncertain systems a new alternative to design static or dynamic output feedback controllers is developed. The design of the corresponding controller is formulated as an LMI problem that includes some slack variables. For the feasibility of the LMI problem, the controller is obtained by simple matrix calculation. The proposed design is performed into two steps. The first step is devoted to a classical state feedback controller design whereas the second one is the solution of the LMI problem.