A Rank Constrained LMI Algorithm for the Robust H-Infinity Control of an Uncertain System via a Stable Output Feedback Controller

Abstract

The paper presents a numerical algorithm for constructing a stable output feedback controller for the robust Hinfin control of an uncertain system. The uncertain systems under consideration contain structured uncertainty described by integral quadratic constraints. The controller is designed to achieve absolute stabilization with a specified level of disturbance attenuation. The main result gives an algorithm for constructing the desired controller in terms of LMIs subject to rank constraints.