The Design of Variable Structure Control System with Nonlinear Time-varying Sliding Zone

The paper discusses a class of nonlinear time-varying system that could be replaced by linear time-varying system and present designed method with variable structure control(VSC) by applying nonlinear time-varying(NTV) sliding zone.Firstly,applying Riccati dfferential equation(SDDRE) by depending on state,we give nonlinear time-varying sliding zone which is a subset of state space.Secondly,a variable structure controller is established,which the trajectory of closed-loop system enter sliding zone and Lyapunov function along the trajectory of system is decreased in the nonlinear sliding zone.Finally,we also present a computing method of nonlinear time-varying control and sliding mode control.