基于分数阶模型的磁流变阻尼器振动系统的预测控制

Predictive control of vibration system of magnetorheological damper based on fractional order model

磁流变阻尼器因其可控阻尼的特性可以用于制作优质减振器,近年来,它与各种控制策略的结合设计已在工业振动控制领域得到了广泛的应用.研究表明,分数阶模型对磁流变阻尼器的拟合精度更高.本文使用分数阶模型描述磁流变阻尼器的粘弹特性,并利用Oustaloup近似方法得到易处理的分数阶传递函数近似值,离散化处理后选取输出跟踪输入的二次型性能指标设计了一种新的模型预测控制器.最后,通过仿真实验证明了该分数阶模型预测控制器具有良好的动态性能,验证了方案的可行性与稳定性.

Because of the controllable damping characteristics,magnetorheological damper can be used to produce high-quality shock absorber.In recent years,it has been developed in the field of industrial vibration control by combining design with variety of control strategies.Researches show that the fractional model has high accuracy of fitting to the MR damper.In this paper,the viscoelastic properties of the MR damper are described by the fractional model,and the approximate fractional transfer function is obtained by the Oustaloup approximation method.A new model predictive controller is designed based on the quadratic performance index of the output tracking input after the discretization.Finally,the simulation results show that the predictive controller has good dynamic performance and verify the feasibility and stability of the design