A Discrete-Time Terminal Sliding-Mode Control Approach Applied to a Motion Control Problem

Terminal sliding-mode (TSM) control (TSMC) is known for its high gain property nearby the vicinity of the equilibrium while retaining reasonably low gain elsewhere. This is desirable in digital implementation where the limited sampling frequency may incur chattering if the controller gain is overly high. In this paper, we integrate a linear switching surface with a terminal switching surface. The switching surface can be designed according to the precision requirement, and for the first time, real-time implementation of TSM is carried out. The analysis and experimental investigation show that the TSMC design outperforms the linear sliding-mode control.

[1]  Wen-Fang Xie,et al.  Sliding-Mode Observer Based Adaptive Control for Servo Actuator with Friction , 2007, 2007 International Conference on Mechatronics and Automation.

[2]  C. K. Michael Tse,et al.  A Fast-Response Sliding-Mode Controller for Boost-Type Converters With a Wide Range of Operating Conditions , 2007, IEEE Transactions on Industrial Electronics.

[3]  H. Khurana,et al.  On stabilization of large-scale control systems using variable structure systems theory , 1986 .

[4]  Xinghuo Yu,et al.  Terminal sliding mode control of MIMO linear systems , 1997 .

[5]  K. Jezernik,et al.  SMC With Disturbance Observer for a Linear Belt Drive , 2007, IEEE Transactions on Industrial Electronics.

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

[7]  Bijnan Bandyopadhyay,et al.  On Discretization of Continuous-Time Terminal Sliding Mode , 2006, IEEE Transactions on Automatic Control.

[8]  Wen-Jun Cao,et al.  Synthesized sliding mode control of a single-link flexible robot , 2000 .

[9]  Han Ho Choi.  Sliding-Mode Output Feedback Control Design , 2008, IEEE Transactions on Industrial Electronics.

[10]  Z. Zenn Bien,et al.  Hierarchical Longitudinal Controller for Rear-End Collision Avoidance , 2007, IEEE Transactions on Industrial Electronics.

[11]  Ümit Özgüner,et al.  A decentralized variable structure control algorithm for robotic manipulators , 1985, IEEE J. Robotics Autom..

[12]  Asif Sabanoviç,et al.  Sliding-Mode Control for High-Precision Motion of a Piezostage , 2007, IEEE Transactions on Industrial Electronics.

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

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

[15]  Chih-Min Lin,et al.  Fuzzy–Neural Sliding-Mode Control for DC–DC Converters Using Asymmetric Gaussian Membership Functions , 2007, IEEE Transactions on Industrial Electronics.

[16]  R. Decarlo,et al.  Variable structure control of nonlinear multivariable systems: a tutorial , 1988, Proc. IEEE.

[17]  C. Dorling,et al.  Two approaches to hyperplane design in multivariable variable structure control systems , 1986 .