Sliding Mode Control for Flexible-link Manipulators Based on Adaptive Neural Networks

被引:47
作者
Yang H.-J. [1 ]
Tan M. [1 ]
机构
[1] State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing
基金
中国国家自然科学基金;
关键词
adaptive control; flexible manipulator; neural network; partial differential equation (PDE); Sliding mode control;
D O I
10.1007/s11633-018-1122-2
中图分类号
学科分类号
摘要
This paper mainly focuses on designing a sliding mode boundary controller for a single flexible-link manipulator based on adaptive radial basis function (RBF) neural network. The flexible manipulator in this paper is considered to be an Euler-Bernoulli beam. We first obtain a partial differential equation (PDE) model of single-link flexible manipulator by using Hamiltons approach. To improve the control robustness, the system uncertainties including modeling uncertainties and external disturbances are compensated by an adaptive neural approximator. Then, a sliding mode control method is designed to drive the joint to a desired position and rapidly suppress vibration on the beam. The stability of the closed-loop system is validated by using Lyapunov’s method based on infinite dimensional model, avoiding problems such as control spillovers caused by traditional finite dimensional truncated models. This novel controller only requires measuring the boundary information, which facilitates implementation in engineering practice. Favorable performance of the closed-loop system is demonstrated by numerical simulations. © 2018, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature.
引用
收藏
页码:239 / 248
页数:9
相关论文
共 30 条
  • [1] Sangpet T., Kuntanapreeda S., Schmidt R., Hysteretic nonlinearity observer design based on Kalman filter for piezoactuated flexible beams with control applications, International Journal of Automation and Computing, 11, 6, pp. 627-634, (2014)
  • [2] Zhang L., Liu S., Iterative learning control for flexible manipulator using Fourier basis function, International Journal of Automation and Computing, 12, 6, pp. 639-647, (2015)
  • [3] Luo Z.H., Direct strain feedback control of flexible robot arms: New theoretical and experimental results, IEEE Transactions on Automatic Control, 38, 11, pp. 1610-1622, (1993)
  • [4] Paranjape A.A., Guan J.Y., Chung S.J., Krstic M., PDE boundary control for flexible articulated wings on a robotic aircraft, IEEE Transactions on Robotics, 29, 3, pp. 625-640, (2013)
  • [5] He W., Meng T.T., Huang D.Q., Li X.F., Adaptive boundary iterative learning control for an Euler-Bernoulli beam system with input constraint, IEEE Transactions on Neural Networks and Learning Systems
  • [6] Yang H.J., Liu J.K., Distributed piezoelectric vibration control for a flexible-link manipulator based on an observer in the form of partial differential equations, Journal of Sound and Vibration, 363, pp. 77-96, (2016)
  • [7] Liu Z.J., Liu J.K., He W., Modeling and vibration control of a flexible aerial refueling hose with variable lengths and input constraint, Automatica, 77, pp. 302-310, (2017)
  • [8] Zhao Z.J., Liu Y., He W., Luo F., Adaptive boundary control of an axially moving belt system with high acceleration/ deceleration, IET Control Theory & Applications, 10, 11, pp. 1299-1306, (2016)
  • [9] He W., Zhang S., Control design for nonlinear flexible wings of a robotic aircraft, IEEE Transactions on Control Systems Technology, 25, 1, pp. 351-357, (2017)
  • [10] Zhang L.J., Liu J.K., Adaptive boundary control for flexible two-link manipulator based on partial differential equation dynamic model, IET Control Theory & Applications, 7, 1, pp. 43-51, (2013)