Robust H∞ state feedback control for uncertain nonlinear switched systems:: Nonlinear matrix inequality approach

For a class of switched nonlinear systems with parameter uncertainties, the robust H-infinity state-feedback control problem is investigated by using NLMI (nonlinear matrix inequality) in this paper. Firstly, for unforced switched nonlinear systems, a sufficient condition is obtained for stabilization with a prescribed disturbance attenuation level by switching. Then the robust H-infinity control synthesis via switched state feedback is investigated for switched nonlinear systems with parameter uncertainties. It is shown that a switched state feedback controller can be designed to stabilize the uncertain switched nonlinear systems with a H-infinity norm bound. All the results presented in this paper can be regarded as an extension of some existing results.