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.