基于一阶PPF的垂尾振动分数阶控制

doi:10.7527/S1000-6893.2018.21884

固体力学与飞行器总体设计

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基于一阶PPF的垂尾振动分数阶控制

牛文超, 李斌, 高振宇, 王巍

西北工业大学航空学院, 西安 710072

收稿日期:2017-11-21 修回日期:2018-02-01 出版日期:2018-08-15 发布日期:2018-02-01
通讯作者: 李斌 E-mail:leebin@nwpu.edu.cn
基金资助:
国家自然科学基金（11172238，11502208）；陕西省自然科学基础研究计划（2018JM5179）

Fractional order control of vertical tail vibration based on first-order PPF

NIU Wenchao, LI Bin, GAO Zhenyu, WANG Wei

School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received:2017-11-21 Revised:2018-02-01 Online:2018-08-15 Published:2018-02-01
Supported by:
National Natural Science Foundation of China (11172238,11502208);Natural Science Basic Research Plan in Shannxi Province of China (2018JM5179)

摘要/Abstract

摘要： 针对传统正位置反馈（PPF）与一阶PPF控制器控制效果与鲁棒性不足，难以适用于结构动力学特性存在摄动的问题，提出一种新的基于分数阶微积分理论和一阶PPF的分数阶（FOPPF¹）控制器，增加了一阶PPF控制器的可设计空间。综合考虑随机响应的频域特性与整体波动强弱，构造了控制器优化设计的目标函数。以粘有宏纤维压电复合材料（MFC）压电片的垂尾模型为被控对象，设计了相应的FOPPF¹控制器。该控制器在控制目标频段内的相频特性变化平缓，可有效实现控制相位补偿，且闭环极点对参数摄动不敏感，使得控制器的鲁棒性强。通过试验研究了FOPPF¹控制器对于自由振动与窄带随机振动的抑制性能。相比一阶PPF控制器，对标称垂尾模型，FOPPF¹控制器在自由振动抑制试验中的等效阻尼系数提高了约50%。当给垂尾模型的一阶弯曲固有频率引入一定量的离线摄动或在线摄动后，窄带随机振动控制试验的结果表明，FOPPF¹控制器的鲁棒性、控制效果及控制能耗率明显优于经典的一阶PPF控制器，因此对垂尾结构的振动主动控制具有良好应用潜力。

关键词: 一阶PPF控制器, 分数阶控制, 摄动结构, 鲁棒, MFC压电片, 垂尾振动抑制

Abstract: Traditional Positive Position Feedback (PPF) and first-order PPF controllers are inadequate in control effectiveness and robustness, and is thus difficult to be applied to the structures with perturbation effect. A novel Fractional Order (FOPPF¹) controller is proposed based on the fractional calculus theory and the first-order PPF to increase the designable space of the controller. Considering the frequency domain characteristic and global vibration amplitude of random response, an optimization design of the objective function for the FOPPF¹ controller is constructed. A scale model of the vertical tail with Macro Fiber Composite (MFC) piezoelectric patches is manufactured, and the corresponding FOPPF¹ controller is designed based on the proposed method. The phase frequency property of this controller in the target frequency band is changed gently, and the phase compensation can be effectively realized. Furthermore, the poles in the closed-loop system are insensitive to parameter perturbation; therefore, the proposed FOPPF¹ controller has good robustness. The free vibration and narrow-band random vibration control experiments are performed to validate the proposed control method. The free vibration response test results show that the equivalent damping coefficient of the FOPPF¹ controller for the nominal model is improved by about 50% of that of the first-order PPF controller. When a certain amount of offline or online perturbation is introduced into the first-order natural frequency of the vertical tail, results of the narrow-band random vibration control experiment show that the robustness, control efficiency and energy consumption ratio of the proposed FOPPF¹ controller is significantly better than those of the classical first-order PPF. Therefore, the proposed controller has great potential for application in vibration control of the vertical tail.

Key words: first-order PPF controller, fractional order control, perturbation structure, robustness, MFC piezoelectric actuator, vibration suppression of vertical tail

中图分类号:

V215

牛文超, 李斌, 高振宇, 王巍. 基于一阶PPF的垂尾振动分数阶控制[J]. 航空学报, 2018, 39(8): 221884-221884.

NIU Wenchao, LI Bin, GAO Zhenyu, WANG Wei. Fractional order control of vertical tail vibration based on first-order PPF[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(8): 221884-221884.

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于一阶PPF的垂尾振动分数阶控制

Fractional order control of vertical tail vibration based on first-order PPF

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