Switching Rule Design for Sector-Bounded Nonlinear Switched Systems

This paper presents a technique for designing switching rules that drive the state of a class of nonlinear switched system to a desired constant reference. The system may contain state-dependent sector-bounded nonlinear functions. The proposed method considers a switching rule using the ‘max’ composition of auxiliary functions. The results are given in terms of Linear Matrix Inequalities (LMIs) and they guarantee global asymptotic stability of the closed-loop system even if sliding modes occur on any switching surface of the system. The application of the method is illustrated through a numerical example based on a Photovoltaic (PV) system and important requirements are achieved, such as the Maximum Power Point Tracking (MPPT) and robustness with respect to the uncertain parameters of the PV array.