针对一种复杂的非线性系统一迟滞系统,研究了基于KP算子Preisach模型对迟滞系统进行建模的方法。利用Preisach模型与其边界线之间的映射关系,建立了容易在线更新的迟滞模型。基于Preisach模型进行迟滞非线性系统的控制,采用PID方法来控制一类带有未知非线性特性迟滞的单输入单输出非线性系统。对迟滞非线性系统的建模与控制进行的数值仿真研究结果表明,该迟滞非线性系统的建模和控制方法具有理论意义和应用价值。
To a kind of complex nonlinear system, hysteresis nonlinear system, the modeling method is studied based on KP Operator Preisach model, By using the mapping relation between Preisah model and its bound lines, the hysteresis model is built which is mere easily implemented and updated, Then the control for the hysteresis nonlinear system is done based on Preisah model. A PID controller is presented to control a class of single input single output nonlinear systems preceded by an unknown hysteresis nonlinearity. Numerical simulations for the modeling and control of a hysteresis nonlinear system show that this research on the modeling and control to hysteresis nonlinear system has theorey meaning and apphcation value.