针对带有回滞驱动的一类不确定非线性系统,通过把Prandtl-Ishlinskii模型分解为一个离散的Prandtl-Ishlinskii算子和一个小的有界误差项,采用反步递推的设计方法,实现自适应逆控制器的设计.所设计的自适应逆控制器能保证闭环系统全局稳定.仿真结果进一步证明该控制方法的有效性.
Employing the backstepping technique, an adaptive inverse controller is designed for a class of uncertain dynamic nonlinear systems preceded by an unknown Prandtl-Ishlinskii hysteresis. Decomposing the Prandtl-Ishlinskii model into a discrete Prandtl-Ishlinskii operator and a small term of bounded error, we developed an adaptive inverse control algorithm. The designed controller ensures that the closed-loop system for global stability. Finally. the effectiveness of the proposed scheme is demonstrated through a simulation example.