LAUSR

This article presents a robust switching rule design technique for a class of nonlinear and uncertain switched systems. The approach is based on a state transformation that allows for nonlinear state feedback. The results are given in terms of linear matrix inequality problems and they guarantee global asymptotic stability of the closed‐loop system even if sliding modes occur on any switching surface. The class of systems considered is general enough to include multiple time varying sector‐bounded nonlinearities associated with real‐time changes in the operation point. The potential of the method is illustrated through photovoltaic systems, in which the nonlinear I–V characteristic of the modules is treated as a sector‐bounded function. As the slope of the sectors depend on the environmental conditions, robust sectors containing the nonlinearities for any uncertain uniform operation condition are derived.