压电作动器的迟滞非线性建模和实时补偿控制仿真  

Modeling and real-time compensation control of nonlinear hysteresis for piezoelectric actuator

作　　者：李以农[1] 张锋[1] 郑玲[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《功能材料》2009年第8期1297-1301,共5页Journal of Functional Materials

基　　金：国家自然科学基金资助项目(50875270);教育部重点资助项目(108108);重庆市自然科学基金资助项目(2008BA6025)

摘　　要：压电作动器的迟滞非线性不同程度的影响了作动器的性能,降低了系统的稳定性,甚至使得系统不稳定,尤其在振动主动控制应用中,要求系统具有极强的实时性,否则由于相位滞后控制效果将会受到严重影响。在研究了各种迟滞非线性模型和补偿算法的基础上,采用PI迟滞算子对压电作动器建立一个纯现象的模型来准确描述其迟滞现象,参数的线性不等式约束保证了求解的唯一性和模型的可逆性。在此基础上利用PI逆模型设计补偿器来补偿迟滞非线性。仿真结果证明了控制算法的正确性和有效性,并有效抑制了迟滞的影响,保证了理想的跟踪精度。Complex nonlinear hysteresis is present in virtually all piezoelectric actuators. These nonlinearities can excite unwanted dynamics which reduced system performance and even lead to unstable system operation, especially in active vibration control applications owing to phase lag. The present paper describes a compensator design method for invertible complex hysteretic nonlinearities ear inequality constraints for the parameters guarantee the the invertability of the identified model. The corresponding based on Prandtl-Ishlinskii hysteresis operator. Linunique solvability of the identification problem and compensator can be directly calculated and thus efficiently implemented from the model by analytical transformation laws. This allows an efficient implementation of the compensator for real-time control. Finally the compensator design method is used to generate an inverse feed forward controller, result of simulation proved the method＇s availability.

关 键 词：压电作动器 迟滞 非线性 PI模型 逆模型 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]