Stabilization of switched nonlinear parameter-varying systems with application to multiple controllers switching design

This paper addresses stabilization issue of switched nonlinear systems where each mode may undergo both stable and unstable behaviors over the time due to the variation of uncertain parameters. Two stabilizability conditions as well as a state-dependent stabilization switching law are proposed. The new result is applied to the control of nonlinear plant via switching of multiple redundant controllers in the presence of uncertain time-varying parameters in each controller. A spacecraft attitude control example verifies the practical motivation and the efficiency of the proposed approaches.