Finite-time convergent sliding mode controllers for robot manipulators

The problem of robust finite-time controller designs of robot manipulator is studied in this paper. Two finite-time sliding mode controllers are developed to deal with tracking control of robot manipulators. The proposed control laws are designed by using terminal sliding mode and fast terminal sliding mode control algorithms which are able to guarantee finite-time reachability of a given desired tracking motion of robot manipulators. By using the second method of Lyapunov, stability of the closed-loop system can be achieved in finite time. An example of a robot tracking system is presented and simulation results are provided to demonstrate and verify the usefulness of the developed controllers. Mathematics Subject Classification: 93D05; 93D09; 49K99

[1]  L. Fu,et al.  Globally stable robust tracking of nonlinear systems using variable structure control and with an application to a robotic manipulator , 1990 .

[2]  Yu Tang,et al.  Terminal sliding mode control for rigid robots , 1998, Autom..

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

[4]  Tzuu-Hseng S. Li,et al.  Fuzzy terminal sliding-mode controller for robotic manipulators , 2005, IEEE International Conference on Mechatronics, 2005. ICM '05..

[5]  Likun Hu,et al.  Trajectory tracking control based on global fast terminal sliding mode for 2-DOF manipulator , 2011, 2011 2nd International Conference on Intelligent Control and Information Processing.

[6]  Bor-Sen Chen,et al.  Nonlinear mixed H 2/H ∞ control for robust tracking design of robotic systems , 1997 .

[7]  Chih-Jer Lin Variable Structure Model Following Control of Robot Manipulators with High-Gain Observer , 2004 .

[8]  J. J. Slotine,et al.  Tracking control of non-linear systems using sliding surfaces with application to robot manipulators , 1983, 1983 American Control Conference.

[9]  Y. P. Chen,et al.  A new controller design for manipulators using the theory of variable structure systems , 1988 .

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

[11]  Xinghuo Yu,et al.  Adaptive Terminal Sliding Mode Tracking Control for Rigid Robotic Manipulators with Uncertain Dynamics. , 1997 .

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

[13]  A. B. Rad,et al.  Robust fuzzy tracking control for robotic manipulators , 2007, Simul. Model. Pract. Theory.

[14]  Zhihong Man,et al.  Variable structure systems with terminal sliding modes , 2002 .

[15]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[16]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[17]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

[18]  Masayoshi Tomizuka,et al.  Adaptive Control of Robot Manipulators in Constrained Motion—Controller Design , 1995 .

[19]  Frank L. Lewis,et al.  Control of Robot Manipulators , 1993 .

[20]  Chun-Yi Su,et al.  A Novel Variable Structure Control Scheme for Robot Trajectory Control , 1990 .