| 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 |
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| 引用本文： | 熊蕊,刘向东,耿洁,卢国辉.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[J].振动与冲击,2013,32(13):99-105. |
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| 作者姓名： | 熊蕊 刘向东 耿洁 卢国辉 |
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| 作者单位： | 北京理工大学 自动化学院，北京 100081 |
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| 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。
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| 关 键 词： | 迟滞 非线性控制系统 Backlash神经网络模型 IHB法 Floquet理论 |
| 收稿时间： | 2012-3-20 |
| 修稿时间： | 2012-7-31 |
INCREAMENTAL HARMONIC BALANCE METHOD FOR RESPONSE COMPUTATION OF A CLASS OF SECOND-ORDER HYSTERETIC NONLINEAR CONTROL SYSTEM UNDER SINUSOIDAL EXCITATION |
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| Xiong Rui,Liu Xiangdong,Geng Jie,Lu Guohui.INCREAMENTAL HARMONIC BALANCE METHOD FOR RESPONSE COMPUTATION OF A CLASS OF SECOND-ORDER HYSTERETIC NONLINEAR CONTROL SYSTEM UNDER SINUSOIDAL EXCITATION[J].Journal of Vibration and Shock,2013,32(13):99-105. |
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| Authors: | Xiong Rui Liu Xiangdong Geng Jie Lu Guohui |
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| Affiliation: | Beijing Institute of Technology，Beijing 100081 |
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| Abstract: | Aiming at a class of hysteretic nonlinear control system，which hysteresis characteristics and linear characteristics can be separated，a model based on Backlash neutral network is adopted to approximate the hysteresis characteristics of the system. After the dynamic model is established，an incremental harmonic balance(IHB) method is used to determine the response of the forced vibration of this hysteretic control system with the P controller. The Floquet theory is applied to determining the stability of the periodic solution. The approach is examined by Runge-Kutta numerical integration. The effect of the parameter k of the controller to the system performance is studied. |
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| Keywords: | hysteresisnonlinear control systemBacklash neutral network modelIHBFloquet theory |
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