Stability of a force control system with sampled-data feedback

被引:0
|
作者
Wang Z. [1 ,3 ]
Hu H. [2 ,3 ]
机构
[1] Institute of Science, PLA University of Science and Technology, Nanjing
[2] School of Aerospace Engineering, Beijing Institute of Technology, Beijing
[3] State Key Lab of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing
来源
Wang, Zaihua (zhwang@nuaa.edu.cn) | 2016年 / Chinese Society of Theoretical and Applied Mechanics卷 / 48期
关键词
Delayed feedback; Digital control; Sampled-data feedback; Stability;
D O I
10.6052/0459-1879-16-102
中图分类号
学科分类号
摘要
Sampled-data control, or digital control, is a major control technology in modern engineering. Based on digital computers, it provides actuators with control inputs in terms of discrete signals. A sampled-data control system is a controlled time-continuous system under sampled-data control. The paper investigates the effects of sampled-data controls on the system stability via an SDOF force control system under sampled PD (proportional-derivative) feedbacks, by means of stability analysis for discrete systems. In order to highlight the role of the sampled-data controls, the uncontrolled system is assumed to be fully free. Unlike in the previous studies where the sampled displacement signal and the sampled velocity signal are synchronic, the study focuses on the system stability for the case when the sampled displacement signal and the sampled velocity signal are not synchronic. A key observation is that when the controller uses the sampled velocity signal as well as the sampled displacement signal delayed an additional sampling period, the controlled system admits a largest stable region of the feedback gains and it decays fastest to the unique equilibrium, among the three sampled-data controllers. The paper gives a discussion of this phenomenon from the viewpoint of mechanics. © 2016, Editorial Office of Chinese Journal of Theoretical and Applied Mechanics. All right reserved.
引用
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页码:1372 / 1381
页数:9
相关论文
共 30 条
  • [1] Ackermann J., Sampled-Data Control Systems: Analysis and Synthesis, Robust System Design, (1985)
  • [2] Chen T.W., Francis B.A., Optimal Sampled-Data Control, (1995)
  • [3] Zhang D., Computer Controlled Systems, (2011)
  • [4] Hu Y., Xu L., Xie Y., Control for rendezvous and docking with a tumbling target spacecraft, Journal of Astronautics, 36, 1, pp. 47-57, (2015)
  • [5] Wan Y., Wen G., Cao J., Et al., Distributed node-to-node consensus of multi-agent systems with stochastic sampling, International Journal of Robust and Nonlinear Control, 26, 1, pp. 110-124, (2016)
  • [6] Wu H., Li R., Wei H., Et al., Synchronization of a class of memristive neural networks with time delays via sampled-data control, International Journal of Machine Learning and Cybernetics, 6, 3, pp. 365-373, (2015)
  • [7] Monaco S., Normand-Cyrot D., An introduction to motion planning under multirate digital control, Proceedings of the 31st IEEE Conference on Decision and Control, 2, pp. 1780-1785, (1992)
  • [8] Furuta K., Kajiwara H., Kosuge K., Digital control of a double inverted pendulum on an inclined rail, International Journal of Control, 32, 5, pp. 907-924, (1980)
  • [9] Zang Q., Mei P., Zheng B., Et al., Output feedback stabilization of nonlinear differential-algebraic equations system based on linear sampled-data control, Acta Automatica Sinica, 41, 10, pp. 1831-1836, (2015)
  • [10] Guo L., Some thoughts on the development of control theory, Journal of Systems Science and Mathematical Science, 31, 9, pp. 1014-1018, (2011)