H2 Output Feedback Control For Discrete-time Systems

This paper addresses the problem of H2 control by output feedback for discrete-time systems. Necessary and sufficient conditions concerning the existence of a linear stabilizing output feedback gain are provided in terms of the intersection of a convex set and a set defined by a non linear real valued function. The results can be easily extended to deal with linear uncertain discrete-time systems, where uncertainties are supposed to belong to convex bounded domains, providing an H2 guaranteed cost output feedback control. Thanks to the geometric properties of the above mentioned function, numerical convex programming tools can be used in order to solve this class of H2 control problems. Examples illustrate the theoretical results.32429243