饱和函数控制法是抑制滑模抖振的有效方法,为得到跟踪精度和未建模动态鲁棒性之间的权衡,边界层厚度应该自适应调整。对边界层厚度设计模糊控制器进行调整,模糊控制器的输入采用状态轨迹到滑模面的距离|s|和状态轨迹与滑模面的夹角θ。针对二阶不确定非线性系统进行了仿真研究,仿真结果表明该方案可以消除系统抖振,优化边界层厚度,减小系统跟踪误差,使控制系统的跟踪性能优于边界层自适应调整方法和边界层接近角调整方法。
The saturation function control method is effective for reducing the sliding mode chattering. The boundary layer should be adjusted adaptively so as to achieve a trade-offbetween tracking precision and robustness to unmodeled dynamics. A fuzzy controller was designed to regulate the thickness of boundary layer. The fuzzy controller adopted the distance to sliding surface |s| and the angle θ between the sliding surface and the state vector. The method was applied to the control of a second order uncertain nonlinear system. Simulation results show system chattering is eliminated, the thickness of boundary layer is optimized, system tracking error is reduced, and the tracking performance of the controlled system is better than that of two methods: the method of boundary layer adaptive regulation and the method of boundary layer approach angle regulation.