Decentralized finite-time stabilization of large-scale interconnected nonlinear systems

Abstract

The concept of decentralized finite-time stabilization for large-scale interconnected nonlinear systems is introduced by the definition of finite-time stability for linear systems. The design of decentralized state feedback controllers and decentralized dynamic output feedback controllers is given for a class of large-scale uncertain interconnected nonlinear systems.A sufficient condition is provided by using linear matrix inequality. When the feedback control laws are applied to the systems,the closed-loop systems are finite-time stable. A simulation example shows the feasibility and effectiveness of the conclusion.