一类二阶迟滞非线性控制系统简谐激励响应的IHB分析方法  

IHB method for response computation of a class of second-order hysteretic nonlinear control systems under a sinusoidal excitation

作　　者：熊蕊[1] 刘向东[1] 耿洁[1] 卢国辉[1] 

机构地区：[1]北京理工大学自动化学院,北京100081

出　　处：《振动与冲击》2013年第13期99-105,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(10872030);北京市自然科学基金资助项目(4122066)

摘　　要：针对一类迟滞特性和线性特性可分离的二阶迟滞非线性控制系统,用Backlash神经网络模型逼近系统迟滞非线性部分,建立动力学模型,采用增量谐波平衡法(IHB法)求解该类含比例控制器的迟滞非线性闭环控制系统在简谐激励下的稳态周期解,并引入Floquet理论分析系统周期解的稳定性。通过Runge-Kutta数值积分法对近似迭代法的精确性进行了验证,最后分析了控制器参数对系统性能的影响。Aiming at a class of hysteretic nonlinear control systems,their hysteresis characteristics and linear characteristics could be separated,a model based on backlash neutral network was adopted to approach the hysteresis nonlinear characteristics of the systems.After the dynamic model was established.The incremental harmonic balance（IHB） method was used to solve the forced vibration response of this hysteretic control system with a proportional controller.Floquet theory was applied to analyze the stability of the periodic solution of the systems.The proposed approach was verified with Runge-Kutta numerical integration.The effects of the parameters of the controller on the system performance were analyzed.

关 键 词：迟滞 非线性控制系统 Backlash神经网络模型 IHB法 FLOQUET理论 

分 类 号：O322[理学—一般力学与力学基础]