用于智能结构振动主动控制的改进自适应PD算法

马天兵; 杜菲; 钱星光; 张建君

doi:10.13433/j.cnki.1003-8728.2016.0505

用于智能结构振动主动控制的改进自适应PD算法

doi: 10.13433/j.cnki.1003-8728.2016.0505

1.
安徽理工大学机械工程学院, 淮南 232001;
2.
南京航空航天大学机械结构力学及控制国家重点实验室, 南京 210016

基金项目:

国家自然科学基金资助项目(51305003)与安徽省高校优秀青年人才基金重点项目(2012SQRL045ZD)资助

详细信息

作者简介:
马天兵(1981-),副教授,博士研究生,研究方向为振动控制,dfmtb@163.com

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- 文章访问数: 215
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- 被引次数: 0
出版历程
- 收稿日期: 2014-04-28
- 刊出日期: 2016-05-05

Active Vibration Control for Smart Structure Based on Improved Adaptive PD Algorithm

1.
College of Mechanical Engineering, Anhui University of Science and Technology, Huainan 232001, China;
2.
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China

摘要

摘要: 针对压电智能结构,引入对参考模型具有良好跟踪效果的自适应PD算法来抑制其振动。鉴于传统自适应PD控制算法在外界快速扰动下缺乏稳定性,尤其在随机扰动情况下该问题尤为突出,因此,在传统自适应PD的基础上耦合速度负反馈控制算法,形成了一种改进的自适应PD算法,并通过Lyapunov方法证明了改进后控制系统的稳定性。根据缩小因子法确定参考模型,分析比较了正弦或随机扰动激励下的改进自适应PD与传统自适应PD算法的控制效果。仿真结果表明,改进的自适应PD控制算法具有更好的鲁棒性和稳定性。
- 压电智能结构 /
- 自适应 /
- 速度负反馈 /
- 振动主动控制
Abstract: In order to suppress the vibration of the piezoelectric smart structure, the adaptive PD algorithm with perfect reference model tracking performance is usually adopted. But it is lack of stability under rapid disturbance, the problem is particularly prominent caused by random disturbance. Therefore, the direct velocity negative feedback (DVFB) control algorithm is coupled into the adaptive PD algorithm to improve adaptive PD algorithm, and the stability of the new control system is verified by Lyapunov method. The reference model is determined according to the shrinking factor method. Simulation results show that the improved adaptive PD algorithm could have better robustness and stability according to track errors and output displacement effects compared with traditional adaptive PD algorithm under sine signal or random signal excitation.
- active vibration control /
- adaptive /
- piezoelectric smart structure /
- velocity negative feedback

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参考文献(15)

[1]	王积伟.现代控制理论与工程[M].北京:高等教育出版社,2003 Wang J W. Modern control theory and engineering[M]. Beijing: Higher Education Press, 2003 (in Chinese)
[2]	Choi H S, Park Y H, Cho Y S, et al. Global sliding-mode control: improved design for a brushless DC motor[J]. IEEE Control Symstems Magazine, 2001,21(3):27-35
[3]	瞿少成.不确定系统的滑模控制理论及应用研究[M].武汉:华中师范大学出版社,2008 Qu S C. Study on sliding mode control theory and application for uncertain system[M]. Wuhan: Huazhong Normal University Press, 2008 (in Chinese)
[4]	邱志成.柔性机械臂的变结构振动控制研究[J].动力学与控制学报,2007,5(1):62-67 Qiu Z C. Study on variable structure vibration control for flexible manipulator[J]. Journal of Dynamics and Control, 2007,5(1):62-67 (in Chinese)
[5]	关新平,何宴辉,范正平.扰动情况下一类混沌系统的观测器同步[J].物理学报,2003,52(2):276-280 Guan X P, He Y H, Fan Z P. Synchronization of a class of chaotic systems in the presence of perturbation by an observer[J]. Acta Physica Sinica, 2003,52(2):276-280 (in Chinese)
[6]	Jha R, He C L. Neural-network-based adaptive predictive control for vibration suppression of smart structures[J]. Smart Materials and Structures, 2002,11(6):909-916
[7]	王波.点式压电智能结构振动控制方法改进的研究[D].重庆:重庆大学位,2004 Wang B. Improvement methods for vibration control of piezoelectric intelligent structures[D]. Chongqing: Chongqing University, 2004 (in Chinese)
[8]	杨燕,谭连生,熊乃学.PDAVQ:一种基于PD控制的自适应虚拟队列管理算法[J].通信学报,2005,26(3): 39-44 Yang Y, Tan L S, Xiong N X. PDAVQ: An adaptive virtual queue algorithm based on the proportional and differential control[J]. Journal on Communications, 2005,26(3):39-44 (in Chinese)
[9]	高振海.汽车方向预瞄式自适应PD控制算法[J].机械工程学报,2004,40(5):101-105 Gao Z H. Vehicle direction preview adaptive PD control algorithm[J]. Chinese Journal of Mechanical Engineering, 2004,40(5):101-105 (in Chinese)
[10]	徐达,帅元,郝琢,等.弹药装填机器人自适应PD控制算法[J].装甲兵工程学院学报,2011,25(1):49-53 Xu D, Shuai Y, Hao Z, et al. Ammunition auto-loading manipulator self-adaptive PD control algorithm[J]. Journal of Academy of Armored Force Engineering, 2011,25(1):49-53 (in Chinese)
[11]	刘金琨.先进PID控制MATLAB仿真二[M].2版.北京:电子工业出版社,2004 Liu J K. MATLAB simulation of advanced PID control[M]. 2nd ed. Beijing: Publishing House of Electronics Industry, 2004 (in Chinese)
[12]	李凤明,陈照波,崔玉波.采用压电材料提高超声速飞行器壁板结构的颤振特性[J].固体力学学报,2011,32(增刊):214-218 Li F M, Chen Z B, Cui Y B. Improving the aeroelastic flutter properties of supersonic flat panel usingIpiezoelectric material[J]. Chinese Journal of Solid Mechanics, 2011,32(S):214-218 (in Chinese)
[13]	马天兵,裘进浩,季宏丽,等.基于鲁棒模型参考控制器的智能结构振动主动控制研究[J].振动与冲击,2012,31(7):14-18 Ma T B, Qiu J H, Ji H L, et al. Active vibration control of a smart structure based on robust model reference controller[J]. Journal of Vibration and Shock, 2012,31(7):14-18 (in Chinese)
[14]	瞿伟廉,查小鹏.基于最小控制综合算法的结构振动控制研究[J].武汉理工大学学报,2012,29(1):145-148 Qu W L, Zha X P. Application of minimal control synthesis algorithm to structural vibration control[J]. Journal of Wuhan University of Technology, 2012,29(1):145-148 (in Chinese)
[15]	张超,曹志伟,马莉,等.基于PD增益的模型参考自适应同步控制[J].计算机仿真,2008,25(8):152-154 Zhang C, Cao Z W, Ma L, et al. A model reference auto-adapted synchronization controller based on PD gain[J]. Computer Simulation, 2008,25(8):152-154 (in Chinese)