Finite-time position tracking control of rigid hydraulic manipulators based on high-order terminal sliding mode

Hydraulic manipulators have highly non-linear dynamics. In this paper, the position tracking control of hydraulic manipulators is investigated. The model considers manipulator dynamics, hydraulic actuator dynamics, and the friction effect of the actuators. A control scheme using a high-order terminal sliding mode (TSM) control method is proposed. Two explicit TSM control laws are derived for position tracking control. Both control laws globally finite-time stabilize the tracking error system. Compared with the conventional control methods, the proposed high-order TSM control scheme can provide a faster convergence and a higher tracking accuracy. Numerical simulation results demonstrate the effectiveness of the proposed scheme.

[1]  J.H.S. Osman,et al.  Modeling and Proportional Integral Sliding Mode Control of Hydraulic Manipulators , 2006, 2006 4th Student Conference on Research and Development.

[2]  C.-K. Lin,et al.  Nonsingular Terminal Sliding Mode Control of Robot Manipulators Using Fuzzy Wavelet Networks , 2006, IEEE Transactions on Fuzzy Systems.

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

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

[5]  Darwin G. Caldwell,et al.  Control of a hydraulically-actuated quadruped robot leg , 2010, 2010 IEEE International Conference on Robotics and Automation.

[6]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

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

[8]  A.G. Loukianov,et al.  Electro-hydraulic actuator trajectory tracking , 2004, Proceedings of the 2004 American Control Conference.

[9]  Chung Choo Chung,et al.  High gain observer based nonlinear position control for electro-hydraulic servo systems , 2010, Proceedings of the 2010 American Control Conference.

[10]  Zhihuan Zhang Predictive function cascade control scheme and its application to hydraulic robot systems , 2009, 2009 IEEE International Conference on Automation and Logistics.

[11]  K A Edge,et al.  Decentralized Adaptive Control of a Directly Driven Hydraulic Manipulator: Part 2: Experiment , 1995 .

[12]  Nariman Sepehri,et al.  A Wavelet-Based Approach to Internal Seal Damage Diagnosis in Hydraulic Actuators , 2010, IEEE Transactions on Industrial Electronics.

[13]  Amir Khajepour,et al.  Robust control of a hydraulically driven flexible arm using backstepping technique , 2005 .

[14]  Tianyou Chai,et al.  Neural-Network-Based Terminal Sliding-Mode Control of Robotic Manipulators Including Actuator Dynamics , 2009, IEEE Transactions on Industrial Electronics.

[15]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[16]  Yiguang Hong,et al.  Finite-time stabilization and stabilizability of a class of controllable systems , 2002, Syst. Control. Lett..

[17]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[18]  Septimiu E. Salcudean,et al.  Nonlinear control of hydraulic robots , 2001, IEEE Trans. Robotics Autom..

[19]  Cheng Guan,et al.  Nonlinear Adaptive Robust Control of Single-Rod Electro-Hydraulic Actuator With Unknown Nonlinear Parameters , 2008, IEEE Transactions on Control Systems Technology.

[20]  B. d'Andrea-Novel,et al.  Nonlinear control of a hydraulic robot using singular perturbations , 1994, Proceedings of IEEE International Conference on Systems, Man and Cybernetics.

[21]  K A Edge,et al.  Decentralized Adaptive Control of a Directly Driven Hydraulic Manipulator: Part 1: Theory , 1995 .

[22]  Haiping Du,et al.  Fuzzy Control for Nonlinear Uncertain Electrohydraulic Active Suspensions With Input Constraint , 2009, IEEE Trans. Fuzzy Syst..

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

[24]  Chintae Choi,et al.  Practical Nonsingular Terminal Sliding-Mode Control of Robot Manipulators for High-Accuracy Tracking Control , 2009, IEEE Transactions on Industrial Electronics.

[25]  Bin Yao,et al.  Coordinate Control of Energy-Saving Programmable Valves , 2003 .

[26]  Krishnaswamy Srinivasan,et al.  Application of nonlinear adaptive control techniques to an electrohydraulic velocity servomechanism , 2004, IEEE Transactions on Control Systems Technology.

[27]  Bin Yao,et al.  Observer based coordinated adaptive robust control of robot manipulators driven by single-rod hydraulic actuators , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[28]  Xinghuo Yu,et al.  Terminal sliding mode control design for uncertain dynamic systems , 1998 .

[29]  A Harrison,et al.  Assessment of Mechanical Stability of a Parallel Wire Bone Transport System for use with an Ilizarov Frame , 1995, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[30]  Septimiu E. Salcudean,et al.  Modeling, simulation, and control of a hydraulic Stewart platform , 1997, Proceedings of International Conference on Robotics and Automation.

[31]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

[32]  Qun Zong,et al.  Brief paper: Higher order sliding mode control with self-tuning law based on integral sliding mode , 2010 .

[33]  M. Brocker,et al.  Nonlinear control methods for disturbance rejection on a hydraulically driven flexible robot , 2001, Proceedings of the Second International Workshop on Robot Motion and Control. RoMoCo'01 (IEEE Cat. No.01EX535).