Adaptive dynamic surface control of cart-pole inverted pendulum

被引:0
|
作者
Huang H.-X. [1 ]
Ding C. [1 ]
Liu J.-T. [1 ]
机构
[1] College of Information Engineering, Xiangtan University, Xiangtan, 411105, Hunan
关键词
Cart-pole inverted pendulum; Dynamic surface control; Fuzzy system; Stability; Tracking differentiator;
D O I
10.7641/CTA.2018.70323
中图分类号
学科分类号
摘要
A modi fied adaptive dynamic surface control was proposed for a typical underactuated mechanical system.With the help of coordinate transformation, the cart-pole model was transformed to a partially feedback form.Based on semistrict feedback form, a dynamic surface controller(DSC)was designed.An adaptive-based controller is constructed using the capability of fuzzy logic to tackle the uncertainties and then, by introducing tracking differentiator(TD), the'explosion of complexity' problem in traditional backstepping technique was eliminated.TD was incorporated into the traditional DSC design procedure to obtain the precise original intermediate control signals and its derivative signals.Accordingly, the closed-loop control performance can be improved signi ficantly.Based on the Lyapunov theorem, it was proved that appropriate parameter selection guaranteed that the tracking errors could converge to a compact set around zero.Simulation results con firmed the effectiveness of the proposed method. © 2019, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
引用
收藏
页码:1002 / 1008
页数:6
相关论文
共 14 条
  • [1] Muskinja N., Tovornik B., Swinging up and stabilization of a real inverted pendulum, IEEE Transactions on Industrial Electronics, 53, 2, pp. 631-639, (2006)
  • [2] Khazaee M., Markazi A.H.D., Rizi S.T., Et al., Adaptive fuzzy sliding mode control of input-delayed uncertain nonlinear systems through output-feedback, Nonlinear Dynamics, 87, 3, pp. 1943-1956, (2017)
  • [3] Oh S.R., Sun J., Li Z., Path following control of underactuated marine vessels via dynamic surface control technique, ASME 2008 Dynamic Systems and Control Conference, pp. 529-536, (2008)
  • [4] Fang Y., Xu Y., Li J., Adaptive dynamic surface control for electro-hydraulic servo position system with input saturation, Control Theory& Applications, 31, 4, pp. 511-518, (2014)
  • [5] Olfati-Saber R., Megretski A., Nonlinear control of underac-tuated mechanical systems with application to robotics and aerospace vehicles, (2001)
  • [6] Huang J., Ri S., Liu L., Et al., Nonlinear disturbance observer-based dynamic surface control of mobile wheeled inverted pendulum, IEEE Transactions on Control Systems Technology, 23, 6, pp. 2400-2407, (2015)
  • [7] Liu Y., Yu H., A survey of underactuated mechanical systems, Iet Control Theory& Applications, 7, 7, pp. 921-935, (2013)
  • [8] Sun G., Ren X., Li D., Neural active disturbance rejection output control of multimotor servomechanism, IEEE Transactions on Control Systems Technology, 23, 2, pp. 746-753, (2015)
  • [9] Azimi M.M., Koofigar H.R., Adaptive fuzzy backstepping controller design for uncertain underactuated robotic systems, Nonlinear Dynamics, 79, 2, pp. 1457-1468, (2015)
  • [10] Wang L., A Course on Fuzzy Systems and Control, (2003)