带非线性时变滑动区域的变结构控制系统设计

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

通过引入非线性时变(NTV)滑动区域,讨论一类可以由线性时变系统代替的非线性时变系统,也给出了变结构控制(VSC)计算方法.首先,通过状态决定的Riccati微分方程(SDDRE),设计了非线性时变滑动区域,它是状态空间的一个子集.其次,设计了一个变结构控制率,在此控制律之下,系统闭环轨迹最终进入滑动区域.

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.