Robust stabilization of planar Acrobot using linear active disturbance rejection control with immune optimization

被引:0
作者
Pan C.-Z. [1 ]
Luo J. [1 ]
Zhou L. [1 ]
Xiong P.-Y. [1 ]
机构
[1] School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan
来源
Pan, Chang-Zhong (pancz@hnust.edu.cn) | 1600年 / Northeast University卷 / 35期
关键词
Immune optimization; LADRC; Planar Acrobot; Robust control; Uncertainty; Underactuated system;
D O I
10.13195/j.kzyjc.2019.0289
中图分类号
学科分类号
摘要
A robust stabilization design method based on linear active disturbance rejection control (ADRC) with immune optimization is proposed for a planar Acrobot affected by uncertainties such that the end point of the robot can reach and be stabilized at the target position from any initial position. Firstly, the relationship between the position of the end point of the robot and the angle of the actuated joint is obtained by means of the state constraint relationship between the angle of the actuated joint and the angle of the underactuated joint. After that, the position control of the end point is converted to the angle control of the actuated joint. Secondly, in order to shorten the motion path, a condition of minimum angular displacement restriction is defined, and an immune algorithm is designed to obtain the minimum desired angle of the actuated joint corresponding to the target position. Thirdly, the linear ADRC control technique is introduced, and the uncertainties such as model uncertainties and unknown disturbances are regarded as an extended state of the system. A linear extended state observer and a feedback controller based on state error are designed to realize the robust stabilization of the Acrobot when only the angle of the actuated joint is measurable. Finally, simulations are conducted to show that the proposed method has better robust control performance. Copyright ©2020 Control and Decision.
引用
收藏
页码:3053 / 3058
页数:5
相关论文
共 15 条
  • [1] Zhang A, Yang C, Gong S, Et al., Nonlinear stabilizing control of underactuated inertia wheel pendulum based on coordinate transformation and time-reverse strategy, Nonlinear Dynamics, 84, 4, pp. 2467-2476, (2016)
  • [2] Tong Y, Ning S, He C, Et al., Motion trajectory-based transportation control for 3-D boom cranes: Analysis, design, and experiments, IEEE Transactions on Industrial Electronics, 66, 4, pp. 3636-3646, (2019)
  • [3] Uchiyama N, Ouyang H, Sano S., Simple rotary crane dynamics modeling and open-loop control for residual load sway suppression by only horizontal boom motion, Mechatronics, 23, 8, pp. 1223-1236, (2013)
  • [4] Lai X Z, She J H, Yang S X, Et al., Comprehensive unified control strategy for underactuated two-link manipulators, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 39, 2, pp. 389-398, (2009)
  • [5] Oriolo G, Nakamura Y., Control of mechanical systems with second-order nonholonomic constraints: Underactuated manipulators, Proceedings of 30th IEEE Conference on Decision and Control, pp. 2398-2403, (1991)
  • [6] Cao S, Lai X, Wu M., Motion control method of planar Acrobot based on trajectory characteristics, Proceeding of the 31st Chinese Control Conference, pp. 4910-4915, (2012)
  • [7] Huang P, Ge X S., Planar Acrobot control stability based on energy method, Journal of Beijing Information Science and Technology University: Natural Science Edition, 32, 4, pp. 18-22, (2017)
  • [8] Wang Y W, Lai X Z, Wu M., Rapid position control approach based on variable design parameter for planar Acrobot, Electric Machines and Control, 21, 9, pp. 110-118, (2017)
  • [9] Han J Q., From PID to Active disturbance rejection control, IEEE Transactions on Industrial Electronics, 56, 3, pp. 900-906, (2009)
  • [10] Hou Z G, Tan M, Han J Q., A non-smooth design method for underactuated mechanism control, Proceedings of the 19th Chinese Control Conference, pp. 575-578, (2000)