为了消除迟滞对系统的不良影响,对一类Bouc‐Wen模型表示的迟滞系统设计了反演滑模控制器。由于迟滞的非平滑、多映射等特性会引起系统振荡甚至造成系统不稳定,首先采用Bouc‐Wen模型描述迟滞,分析了Bouc‐Wen模型的特性并得到其上界值;然后引入滑模项以克服干扰,设计了反演滑模控制器,采用Lyapunov函数的设计过程以保证系统的稳定性;最后进行仿真实验,结果证明该控制方法有效。
In order to eliminate the harmful effect of hysteresis on the system ,a backstepping sliding controller is designed for hysteresis system of Bouc‐Wen model .Non‐smooth and multi‐valued mapping characteristics of hysteresis will give rise to system oscillation and even result in system instability ,so Bouc‐Wen mode is adopted to describe hysteresis and the upper bound is derived .Then ,sliding mode is introduced to overcome interference , and the backstepping sliding controller is designed . The design process of Lyapunov function is adopted to ensure system stability . Finally , the simulation results illustrate the effectiveness of the proposed method .