A new discrete-time sliding mode control method based on restricted variable trending law

被引:0
作者
机构
[1] College of Aeronautics and Astronautics Engineering, Air Force Engineering University
来源
Liu, X. (liuxiafeu@126.com) | 1600年 / Science Press, 18,Shuangqing Street,Haidian, Beijing, 100085, China卷 / 39期
关键词
Chattering-free; Discrete-time; Restricted; Sliding mode control; Trending law;
D O I
10.3724/SP.J.1004.2013.01552
中图分类号
学科分类号
摘要
A new chattering-free variable trending law for discrete-time sliding mode control is designed. On account of actual controller of inertial system where the velocity of output is limited, the function of varying speed of trending law is introduced. A novel idea is firstly presented that through designing the acceleration of trending law the expected trending law is constructed to make the controller's physical meaning distinct, and the design of controller more flexible and easier. As to the nominal system, the trending law can make the value of switch function reach zero in finite time without chattering. For uncertain system satisfying matching condition, this trending law can make the value of switch function monotonously reach a certain value, which is related with external disturbance and can be arbitrarily small by designing the parameter of controller. © 2013 Acta Automatica sinica. All rights reserved.
引用
收藏
页码:1552 / 1557
页数:5
相关论文
共 17 条
  • [1] Liu J.-K., Matlab Simulation for Sliding Mode Control, (2005)
  • [2] Liu J.-K., Sun F.-C., Research and development on theory and algorithms of sliding mode control, Control Theory and Application, 24, 3, pp. 407-418, (2007)
  • [3] Gao W.B., Wang G.F., Homaifa A., Discrete-time variable structure control systems, IEEE Transactions on Industrial Electronics, 42, 2, pp. 117-122, (1995)
  • [4] Gao W.-B., Variable structure control of discrete-time systems, Acta Automatica Sinica, 21, 2, pp. 154-161, (1995)
  • [5] Bartoszewicz A., Discrete-time quasi-sliding-mode control strategies, IEEE Transactions on Industrial Electronics, 45, 4, pp. 633-637, (1998)
  • [6] Eun Y., Kim J.H., Kim K., Cho D., Discrete-time variable structure controller with a decoupled disturbance compensator and its application to a CNC servomechanism, IEEE Transactions on Control Systems Technology, 7, 4, pp. 414-423, (1999)
  • [7] Misawa E.A., Discrete-time sliding mode control for nonlinear systems with unmatched uncertainties and uncertain control vector, Journal of Dynamic Systems, Measurement, and Control, 119, 3, pp. 503-512, (1997)
  • [8] Tang C.Y., Misawa E.A., Discrete variable structure control for linear multivariable systems, Journal of Dynamic Systems, Measurement, and Control, 122, 4, pp. 783-792, (2000)
  • [9] Zhou D.-W., Gao C.-C., Li Z.-Q., Reaching law of discrete-time variable structure control system, Control and Decision, 23, 3, pp. 306-309, (2008)
  • [10] Zhai C.-L., Wu Z.-M., Variable structure control design for uncertain discrete time systems, Acta Automatica Sinica, 26, 2, pp. 184-191, (2000)