Robust H∞ control and quadratic stabilization of uncertain switched linear systems

In this paper, we focus on the robust H-infinity control analysis and synthesis for uncertain switched linear systems. It is shown that the quadratic stability of one associated non-switched uncertain combination linear system implies the feasibility of H-infinity control problem for an uncertain switched linear system. Then, the robust H-infinity control synthesis, via switched state feedback is studied. A switched state feedback controller is designed to quadratically stabilize the plant and achieve a prescribed disturbance attenuation level gamma for all admissible uncertainties simultaneously. All the results in this paper can be regarded as an extension of some existing results for both switched and non-switched systems.