Disturbance observer-based terminal sliding mode controller design for uncertain nonlinear systems

被引:0
|
作者
Yang J.-Q. [1 ]
Gao Y.-X. [1 ]
Chen Y.-T. [1 ]
Cui L.-Z. [1 ]
机构
[1] College of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo
来源
Yang, Jun-Qi (yjq@hpu.edu.cn) | 1600年 / Northeast University卷 / 35期
关键词
Disturbance observer; Integral sliding mode surface; Multiple disturbances; Terminal siding mode controller;
D O I
10.13195/j.kzyjc.2018.0599
中图分类号
学科分类号
摘要
For a class of uncertain nonlinear systems, the control problem under the condition that every order of the systems is affected by unknown disturbance is investigated. Firstly, a n-orders super twisting disturbance observer is introduced, which estimates the disturbances of the systems. Then, based on the structure of the systems and the sliding mode control technique, a sliding surface with integral function is designed. Combineing with the second order fast terminal sliding mode control theory, a sliding mode controller based on the proposed disturbance observer is presented. In order to alleviate the chattering caused by the sign function, the sigmoid function is employed. And the stability of the closed-loop system is proved by the Lyapunov theory. Finally, the method is applied to the simulaton for controlling the magnetic levitation system, and the results show the effectiveness of the proposed method. © 2020, Editorial Office of Control and Decision. All right reserved.
引用
收藏
页码:155 / 160
页数:5
相关论文
共 22 条
  • [1] Chen B., Liu X.P., Ge S.Z., Et al., Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach, IEEE Transactions on Fuzzy Systems, 20, 6, pp. 1012-1021, (2012)
  • [2] Chen B., Lin C., Liu X.P., Et al., Observer-based adaptive fuzzy control for a class of nonlinear delayed systems, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 46, 1, pp. 27-36, (2016)
  • [3] Du Z.B., Fuzzy robust H<sub>∞</sub> tracking control for uncertain nonlinear systems, Control and Decision, 30, 7, pp. 1325-1328, (2015)
  • [4] Gao Y.F., Sun X.M., Wen C.Y., Et al., Observer-based adaptive NN control for a class of uncertain nonlinear systems with nonsymmetric input saturation, IEEE Transactions on Neural Networks and Learning Systems, 28, 7, pp. 1520-1530, (2017)
  • [5] Wang Y., Zhang Y.F., Qiu J.B., Et al., Adaptive fuzzy backstepping control for a class of nonlinear systems with sampled and delayed measurements, IEEE Transactions on Fuzzy Systems, 23, 2, pp. 302-312, (2015)
  • [6] Man Y.C., Liu Y.G., Adaptive control design via linear state-feedback for high-order uncertain nonlinear systems, Acta Automatica Sinica, 40, 1, pp. 24-32, (2014)
  • [7] Liu L., Yang X.B., Robust adaptive state constraint control for uncertain switched high-order nonlinear systems, IEEE Transactions on Industrial Electronics, 64, 10, pp. 8108-8117, (2017)
  • [8] Zhao X.D., Shi P., Zheng X.L., Et al., Intelligent tracking control for a class of uncertain high-order nonlinear systems, IEEE Transactions on Neural Networks and Learning Systems, 27, 9, pp. 1976-1982, (2016)
  • [9] Sun C., Sun H.X., Diao X.W., Adaptive control design for a class of high order nonlinear nonhomogeneous uncertain systems, Control Theory & Applications, 33, 6, pp. 816-824, (2016)
  • [10] Lu H.Q., Error analysis for mathematics Modeling, Journal of PLA University: Science and Technology, 2, 3, pp. 20-22, (2001)