| 基于LQR-IMCS算法的智能结构振动主动控制 |
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| 引用本文： | 马天兵,杜菲.基于LQR-IMCS算法的智能结构振动主动控制[J].华中科技大学学报(自然科学版),2012,40(3):72-75,80. |
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| 作者姓名： | 马天兵 杜菲 |
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| 作者单位： | 1. 安徽理工大学机械工程学院,安徽淮南232001／南京航空航天大学机械结构力学与控制国家重点实验室,江苏南京210016
2. 安徽理工大学机械工程学院,安徽淮南,232001 |
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| 基金项目： | 国家自然科学基金重点资助项目，航空基金资助项目 |
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| 摘 要： | 为了解决最小控制综合（MCS）算法在快速扰动下缺乏鲁棒性和线性二次调节器（LQR）在非线性扰动下容易失稳的问题,构造了一种自适应增益补偿函数,对标准的MCS算法进行改进.提出了基于LQR-IMCS（改进的最小控制综合）算法的新策略,并通过波波夫准则验证了该系统的稳定性.以实验室压电壁板结构的第1阶振动模态为研究对象,分别施加随机扰动和高次谐波扰动.仿真和实验结果表明：该方法相对于标准的MCS算法具有更快的收敛速度和更小的跟踪误差,对壁板的第1阶模态抑制具有良好的控制效果和鲁棒性.
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| 关 键 词： | 壁板 振动 最小控制综合 压电片 随机 谐波 线性二次调节器 |
Active vibration control of smart structure using LQR-IMCS algorithm |
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| Ma Tianbing,Du Fei.Active vibration control of smart structure using LQR-IMCS algorithm[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2012,40(3):72-75,80. |
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| Authors: | Ma Tianbing Du Fei |
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| Institution: | 1(1 College of Mechanical Engineering,Anhui University of Science and Technology,Huainan 232001,Anhui China;2 State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | To solve the problem that traditional LQR(linear quadratic regulator) is unstable frequently under the condition of nonlinear disturbance and MCS(minimal controller synthesis) algorithm lacks of robustness when rapid perturbations exist,an adaptive gain compensation function was constructed to improve standard MCS algorithm.LQR-IMCS algorithm was put forward for the first mode active vibration control of piezoelectric panel structure,and the stability of control system was verified by Popov standards.Simulation results show that this method has faster convergence speed and smaller tracking error compared with standard MCS algorithm under random or harmonic signal excitation.Experiment results prove that this method has excellent control effect and robustness for suppressing the first mode. |
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| Keywords: | panel vibration MCS(minimal controller synthesis) piezoelectric patch random harmonic LQR(linear quadratic regulator) |
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