Decentralized stabilization for nonlinear similar composite systems with uncertainty

Abstract A kind of discontinuous decentralized robust control scheme for a class of nonlinear large-scale composite systems with similar subsystems is proposed by using the Lyapunov Max-Min methods. Both matched and unmatched uncertainties are considered, and the interconnections with more general bounding functions are dealt with. By exploiting the similar structure, a discontinuous nonlinear controller is designed to stabilize the composite system. Finally, a numerical example is given to demonstrate the effectiveness of our result.