Nonlinear Systems Robust Passive Control

Dissipative systems theory has been proposed since 1970s.It plays an important role in the study of system stability.In fact ,it is a nonnegative storage function,such that the inner energy of systems is less than the energy provision. In frame work of state space ,passivity is a special class of dissipative system. The passivity theory plays an important role in robust stabilization of uncertain systems .Another important subclass of dissipative is y -dissipative,which occupy an central role in disturbance attenuation problem .This paper study the robust control problem of nonlinear system from this two aspects .The main contents is as follows:Firstly, on the base of the analysis of robust dissipative conditions of uncertain systems. We obtain sufficient condition such that a class of uncertain nonlinear system is robustly dissipative .More over ,we consider sufficient conditions ,in which this class of system can be robustly dissipative by state feedback and then we get the feedback control ,that render the system.Secondly,based on the backstepping approach and Lyapunov method .we discuss a special chained construct system with or without uncertainty and its relative degree is r ,we get the recursive passivity arithmetic and the corresponding feedback stability controller.Thirdly,applying the robust stabilization approaches of nonlinear system in view port of passivity into the control problem of nonlinear power system,we get effective robust stabilization effect.Finally,conclude the whole paper and point out the further work.