Robust Controller Design for Uncertain Lure Systems Guaranteeing Dichotomy Behaviors

This paper focuses on the robust controller design problem of Lure systems with parameter uncertainties. Using matrix theory, the sufficient condition for the dichotomy of uncertain Lure systems is first presented. Furthermore, the methods of designing a state feedback controller and a dynamic output feedback controller for uncertain Lure systems guaranteeing dichotomy are proposed separately. Finally a numerical example is included to show the effectiveness of the proposed approach.