Decentralized static output feedback sliding mode control for a class of nonlinear interconnected systems

Abstract In this paper, a class of nonlinear interconnected systems is considered, where the nominal isolated systems are allowed to have unmodeled dynamics. A decentralized sliding mode control based on static output feedback is designed. A composite sliding surface, which is a function of the system output variables, is proposed and the stability of the corresponding sliding mode dynamics is analysed. A new reachability condition is developed such that the proposed decentralized sliding mode control can drive the system states to the sliding surface in finite time and maintain a sliding motion thereafter. Both uncertainties and interconnections are allowed to be unmatched and have more general forms. A power system example is used to demonstrate the effectiveness of the proposed method.