Non-fragile recursive sliding mode dynamic surface control with adaptive neural network

被引:4
作者
机构
[1] College of Aeronautics and Astronautics Engineering, Air Force Engineering University
[2] Unit 94270 of PLA
来源
Liu, X. (liuxiafeu@126.com) | 1600年 / South China University of Technology卷 / 30期
关键词
Dynamic surface control (DSC); Neural network; Non-fragile; Sliding mode control;
D O I
10.7641/CTA.2013.30043
中图分类号
学科分类号
摘要
A non-fragile recursive sliding mode dynamic surface adaptive control method is proposed for a class of uncertain, mismatched nonlinear system. By employing the neural network (NN) to approximate the system uncertainty and designing the recursive sliding mode dynamic surface to synthesize the interaction of the tracking error in each step of backstepping scheme, we make the method to get rid of the 'explosion of complexity' associated with the backstepping control and to avoid being fragile to the perturbation in both the filter time constant and adaptive parameters of neural network in the traditional dynamic surface control. Stability analysis verifies the semi-global, uniform, and ultimate boundedness (SUUB) for all the states of the closed-loop system, and guarantees the tracking error to converge to an arbitrarily small neighborhood of the origin.
引用
收藏
页码:1323 / 1328
页数:5
相关论文
共 13 条
  • [1] Saberi A., Kokotovic P.V., Sussnam H.J., Global stabilization of partially linear composite systems, SIAM Journal on Control and Optimization, 128, 6, pp. 1491-1503, (1990)
  • [2] Kanellakopoulos I., Kokotovic P.V., Morse A.S., Systematic design of adaptive controllers for feedback linearizable systems, IEEE Transactions on Automatic Control, 36, 11, pp. 1241-1253, (1991)
  • [3] Krstic M., Kanellakopoulos I., Kokotovic P.V., Nonlinear design of adaptive controllers for linear systems, IEEE Transactions on Automatic Control, 39, 4, pp. 738-752, (1994)
  • [4] Swaroop D., Gerdes J.C., Yip P.P., Et al., Dynamic surface control of nonlinear systems, Proceedings of the American Control Conference, 6, pp. 3028-3034, (1997)
  • [5] Swaroop D., Hedrick J.K., Yip P.P., Et al., Dynamic surface control for a class of nonlinear systems, IEEE Transactions on Automatic Control, 45, 10, pp. 1893-1890, (2000)
  • [6] Jin Y.S., Park J.B., Choi Y.H., Adaptive dynamic surface control for stabilization of parametric strict feedback nonlinear systems with unknown time delays, IEEE Transactions on Automatic Control, 52, 12, pp. 2360-2365, (2007)
  • [7] Zhou L., Jiang C., Du Y., A robust and adaptive terminal sliding mode control based on backstepping, Control Theory & Applications, 26, 6, pp. 678-682, (2009)
  • [8] Jia T., Liu J., Qian F., Adaptive fuzzy dynamic surface control for a class of nonlinear systems with unknown time-delays, Acta Automatica Sinica, 37, 1, pp. 83-91, (2011)
  • [9] Wang Y., Liu H., Wang L., Self-optimize adaptive dynamic surface control, Control and Decision, 25, 6, pp. 939-942, (2010)
  • [10] Wang D., Huang J., Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict feedback form, IEEE Transactions on Neural Networks, 16, 1, pp. 195-202, (2005)