Journal of Jilin University(Engineering and Technology Edition) ›› 2024, Vol. 54 ›› Issue (11): 3379-3391.doi: 10.13229/j.cnki.jdxbgxb.20220745

Previous Articles     Next Articles

Multi-rigid-body dynamics and parameter identification of a 3-DOF helicopter

Shi-yao LI1,2(),Te ZHANG3,Bo ZHU4(),Chen PENG3,Tian-jiang HU1   

  1. 1.School of Aeronautics and Astronautics,Sun Yat-Sen University,Shenzhen 518107,China
    2.Control and Simulation Center,Harbin Institute of Technology,Harbin 150001,China
    3.School of Aeronautics and Astronautics,University of Electronic Science and Technology of China,Chengdu 611731,China
    4.Center for Advanced Control and Smart Operations,Nanjing University,Suzhou 215163,China
  • Received:2022-06-15 Online:2024-11-01 Published:2025-04-24
  • Contact: Bo ZHU E-mail:lishiyao_315@163.com;zhubo5@mail.sysu.edu.cn

Abstract:

The 3-degrees of freedom (DOF) helicopter has three typical features: nonlinearity, underactuation, and suffering from uncertainties and external disturbances. It has received much attention from well-known research groups, owing to its convivence for the verification of motion planning and robust control. However, the lack of accurate models for motion and actuator dynamics leading to the limitation for the motion planning and control algorithms. Motivated by this fact, we study the model of a 3-DOF helicopter platform as a multi-rigid-body system, which is equipped with low-precision encoders for attitude measurements. The detailed work includes: ① modelling the dynamics for three bodies respectively; ② identifying the parameters of the multi-channel motion as well as the parameters of the motor-propeller lifting component; ③ linearizing and analyzing the nonlinear model; ④ verifying both the nonlinear and linearized models. Finally, a benchmark model for the platform is obtained, by which, the model-based controller can be designed. Some experiments are designed to show the completeness and high-accuracy of the benchmark model. Two “feedforward + linear quadratic regulator (LQR)-based feedback” controllers for the angular trajectory tracking are designed based on the identified model and implemented on the experimental setup, where the tracking performance of these controllers can be benchmarked against other advanced algorithms.

Key words: multi-rigid body dynamics, parameter identification, 3-DOF helicopter, model-based control

CLC Number: 

  • V249.122
1 刘久富, 杨忠, 孙德敏, 等. 基于模型的飞行控制软件测试用例的生成[J]. 吉林大学学报: 工学版, 2006, 36(4): 543-547.
Liu Jiu-fu, Yang Zhong, Sun De-min, et al. Generation of testing case for model based flight control software of unmanned aerial vehicle[J]. Journal of Jilin University (Engineering and Technology Edition), 2006, 36(4): 543-547.
2 Dai X, Ke C, Quan Q, et al. RFlySim: automatic test platform for UAV autopilot systems with FPGA-based hardware-in-the-loop simulations[J]. Aerospace Science and Technology, 2021, 114: No.106727.
3 Ishutkina M A. Design and implimentation of a supervisory safety controller for a 3DOF helicopter[D]. Cambridge: Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2004.
4 Kiefer T, Graichen K, Kugi A. Trajectory tracking of a 3DOF laboratory helicopter under input and state constraints[J]. IEEE Transactions on Control Systems Technology, 2009, 18(4): 944-952.
5 Zhu B, Liu H H T, Li Z. Robust distributed attitude synchronization of multiple three-DOF experimental helicopters[J]. Control Engineering Practice, 2015, 36: 87-99.
6 Zhu B, Zhang Q, Liu H H T. Design and experimental evaluation of robust motion synchronization control for multivehicle system without velocity measurements[J]. International Journal of Robust and Nonlinear Control, 2018, 28(17): 5437-5463.
7 Liu H, Lu G, Zhong Y. Robust LQR attitude control of a 3-DOF laboratory helicopter for aggressive maneuvers[J]. IEEE Transactions on Industrial Electronics, 2013, 60(10): 4627-4636.
8 Li C, Yang X, Xiao B. Adaptive attitude tracking control of a 3-degrees-of-freedom experimental helicopter with actuator dead-zone[J]. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 2019, 233(1): 91-99.
9 栗英杰, 赵丁选, 赵颖. 直升机飞行动力学建模及仿真[J]. 吉林大学学报: 工学版, 2011, 41(): 241-245.
Li Ying-jie, Zhao Ding-xuan, Zhao Ying. Flight dynamics model and simulation of helicopters[J]. Journal of Jilin University(Engineering and Technology Edition), 2011, 41(Sup.2): 241-245.
10 Zhu X, Li D. Robust attitude control of a 3-DOF helicopter considering actuator saturation[J]. Mechanical Systems and Signal Processing, 2021, 149: No.107209.
11 固高科技. GHP2002型三自由度直升机实验指导书V2014B[Z].
12 Cui Q, Zhang L, Chen M. Observer based backstepping control for a three degree of freedom model helicopter[C]∥ 2016 IEEE Chinese Guidance, Navigation and Control Conference (CGNCC), Nanjing, China, 2016: 2299-2304.
13 Raj K, Choudhary S K, Muthukumar V. Linear quadratic regulator for helicopter model with a prescribed degree of stability[C]∥ International Conference on Systems Engineering, Las Vegas, USA, 2020: 379-389.
14 纪明达, 李德伟, 席裕庚. 三自由度直升机的无静差预测控制[J]. 控制工程, 2014, 21(1): 122-125.
Ji Ming-da, Li De-wei, Xi Yu-geng. Offset free model predictive control of 3-DOF helicopter[J]. Control Engineering of China, 2014, 21(1): 122- 125.
15 Li C, Yang X. Neural networks-based command filtering control for a table-mount experimental helicopter[J]. Journal of the Franklin Institute, 2021, 358(1): 321-338.
16 郭帅, 陆耿, 钟宜生. 三自由度直升机模型辨识与控制[J]. 测控技术, 2012, 31(3): 73-76.
Guo Shuai, Lu Geng, Zhong Yi-sheng. Identification and control of 3DOF helicopter[J]. Measurement Control Technology, 2012, 31(3): 73-76.
17 李亚帅, 邵宗凯. 基于PEM的三自由度直升机模型辨识[J]. 传感器与微系统, 2017, 36(6): 49-52.
Li Ya-shuai, Shao Zong-kai. Model identification of 3-DOF helicopter based on PEM[J]. Transducer and Microsystem Technologies, 2017, 36(6): 49-52.
[1] Yu-rong GUO,Jian-zhong PAN. Numerical simulation method for reinforced concrete columns based on modified Bouc-Wen model [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 1028-1037.
[2] Bing CHEN,Yang-kun ZHANG,Yang WANG,Sheng-zhe LIU,Jin-yang HAN. Damage parameter identification of laser welded joint shear Gurson⁃Tvergaard⁃Needleman model [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(12): 3468-3477.
[3] Yun-long ZHANG,Jia-yuan ZHANG,Xue-song QIAN,Pan ZHANG,Run-chao YANG. Spectrum⁃driven methods for modal parameter identification of bridge under environmental excitation [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1580-1591.
[4] Wen-ku SHI,Shu-guang ZHANG,You-kun ZHANG,Zhi-yong CHEN,Yi-fei JIANG,Bin-bin LIN. Parameter identification of magnetorheological damper model with modified seagull optimization algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(4): 764-772.
[5] Wei LI,Hai-sheng SONG,Hao-yu LU,Wen-ku SHI,Qiang WANG,Xiao-jun WANG. Linear identification method of hysteresis characteristic of composite leaf springs [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(4): 829-836.
[6] Yang WANG,Zhan⁃shuai SONG,Kong⁃hui GUO,Ye ZHUANG. Measurement of inertial parameters of rotating inertia rig [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1795-1801.
[7] Qiao-bin LIU,Wen-ku SHI,Zhi-yong CHEN,Lian-meng LUO,Zhi-yong SU,Kai-jun HUANG. Parameter estimation of mixed reliability model based on kernel density optimal grouping and gravity search algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1818-1825.
[8] SONG Jun, SHI Xue-fei, RUAN Xin. Optimization of thermal parameter identification for mass concrete [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1418-1425.
[9] JIN Chao-qiong, ZHANG Bao, LI Xian-tao, SHEN Shuai, ZHU Feng. Friction compensation strategy of photoelectric stabilized platform based on disturbance observer [J]. 吉林大学学报(工学版), 2017, 47(6): 1876-1885.
[10] SUN Wei, LI Jian, JIA Shi. Identification of nonlinear stiffness and damping for hard-coating composite structure [J]. 吉林大学学报(工学版), 2016, 46(4): 1156-1162.
[11] QIN Yu-gang, MA Yong, ZHANG Liang, LI Teng-fei. Parameter identification of ship's maneuvering motion based on improved least square method [J]. 吉林大学学报(工学版), 2016, 46(3): 897-903.
[12] SHI Wen-ku,MAO Yang,JIANG Xue,CHEN Zhi-yong,MA Li-hong,PAN Bin. Parameter identification and dynamic characteristicsof semi-active hydraulic mount [J]. 吉林大学学报(工学版), 2014, 44(3): 605-611.
[13] ZHAO Fei-xiang, ZHANG Jian-wei, GUO Kong-hui, ZHANG Li-hao, ZHENG Zhong. Off-line parameter identification for induction motor based on reconstructed voltage [J]. 吉林大学学报(工学版), 2013, 43(06): 1596-1600.
[14] XIONG Rui, HE Hong-wen, XU Yong-li, HE Yin. Modeling and parameter identification approach for power battery pack used in electric vehicle [J]. , 2012, 42(04): 809-815.
[15] ZHANG Cai-ping, JIANG Jiu-chun. Extended Kalman filter algorithm for parameters identification of dynamic battery model based on genetic algorithm optimization [J]. , 2012, (03): 732-737.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!