Static Output Feedback Stabilization of Discrete-Time Linear Systems With Stochastic Dynamics Determined by an Independent Identically Distributed Process

Abstract

This letter discusses an extension of our earlier results about state feedback stabilization toward static output feedback stabilization for discrete-time linear systems with stochastic dynamics determined by an independent and identically distributed (i.i.d.) process. A completely linearized necessary and sufficient inequality condition for static output feedback synthesis is known to be difficult to obtain even in the case with deterministic systems. Hence, this letter derives with the so-called S-variable approach a bilinear matrix inequality condition that can be effectively solved through exploiting the result of state feedback synthesis. An illustrative numerical example is also given for such synthesis.