Chattering-free discrete-time sliding mode control

To avoid the chattering problem in the reaching-law-based discrete-time sliding mode control (DSMC) and the generation of over-large control action in the equivalent-control-based DSMC, a new DSMC method based on non-smooth control is proposed in this paper. Since there is no use of any switching term in the proposed DSMC, it is a chattering-free SMC method. Meanwhile, it is shown that the newly proposed non-smooth control-based DSMC can guarantee the same level of accuracy for the sliding mode motion as that of an equivalent control-based DSMC. To demonstrate the effectiveness of the proposed approach, a simulation example is presented.

[1]  Wu-Chung Su,et al.  An O(T2) boundary layer in sliding mode for sampled-data systems , 2000, IEEE Trans. Autom. Control..

[2]  Xinghuo Yu,et al.  Discretization Effect on Equivalent Control-Based Multi-Input Sliding-Mode Control Systems , 2008, IEEE Transactions on Automatic Control.

[3]  Vadim I. Utkin,et al.  Sliding mode control in discrete-time and difference systems , 1994 .

[4]  Xinghuo Yu,et al.  Continuous finite-time control for robotic manipulators with terminal sliding modes , 2003, Sixth International Conference of Information Fusion, 2003. Proceedings of the.

[5]  Xinghuo Yu,et al.  Computer-Controlled Variable Structure Systems: The State-of-the-Art , 2012, IEEE Transactions on Industrial Informatics.

[6]  Wu-Chung Su,et al.  An Boundary Layer in Sliding Mode for Sampled-Data Systems , 2000 .

[7]  Shihua Li,et al.  Speed Control for PMSM Servo System Using Predictive Functional Control and Extended State Observer , 2012, IEEE Transactions on Industrial Electronics.

[8]  Jin-Hua She,et al.  A Discrete-Time Terminal Sliding-Mode Control Approach Applied to a Motion Control Problem , 2009, IEEE Transactions on Industrial Electronics.

[9]  B. Draenovi.  The invariance conditions in variable structure systems , 1969 .

[10]  Xinghuo Yu,et al.  ZOH discretization effect on single-input sliding mode control systems with matched uncertainties , 2009, Autom..

[11]  Weibing Gao,et al.  Discrete-time variable structure control systems , 1995, IEEE Trans. Ind. Electron..

[12]  Jean-Pierre Barbot,et al.  Sliding Mode Control In Engineering , 2002 .

[13]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[14]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[15]  Xinghuo Yu,et al.  Discrete-Time Terminal Sliding Mode Control Systems Based on Euler's Discretization , 2014, IEEE Transactions on Automatic Control.

[16]  Xinghuo Yu,et al.  Euler's Discretization of Single Input Sliding-Mode Control Systems , 2007, IEEE Transactions on Automatic Control.

[17]  Xiaohua Xia,et al.  Delta-Modulated feedback in discretization of sliding mode control , 2006, Autom..

[18]  Jian-Xin Xu,et al.  Variable Structure Systems: Towards the 21st Century , 2002 .

[19]  B. Drazenovic,et al.  The invariance conditions in variable structure systems , 1969, Autom..

[20]  Xinghuo Yu,et al.  On the Discrete-Time Integral Sliding-Mode Control , 2007, IEEE Transactions on Automatic Control.

[21]  Xiaohua Xia,et al.  Dynamics of Discrete-Time Sliding-Mode-Control Uncertain Systems With a Disturbance Compensator , 2014, IEEE Transactions on Industrial Electronics.

[22]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..