A New Adaptive Sliding-Mode Control Scheme for Application to Robot Manipulators

This paper presents a new adaptive sliding-mode control (ASMC) scheme that uses the time-delay estimation (TDE) technique, then applies the scheme to robot manipulators. The proposed ASMC uses a new adaptive law to achieve good tracking performance with small chattering effect. The new adaptive law considers an arbitrarily small vicinity of the sliding manifold, in which the derivatives of the adaptive gains are inversely proportional to the sliding variables. Such an adaptive law provides remarkably fast adaptation and chattering reduction near the sliding manifold. To yield the desirable closed-loop poles and simplify a complicated system model by adapting feedback compensation, the proposed ASMC scheme works together with a pole-placement control (PPC) and a TDE technique. It is shown that the tracking errors of the proposed ASMC scheme are guaranteed to be uniformly ultimately bounded (UUB) with arbitrarily small bound. The practical effectiveness and the fast adaptation of the proposed ASMC are illustrated in simulations and experiments with robot manipulators, and compared with those of an existing ASMC.

[1]  Peter Xiaoping Liu,et al.  Robust Sliding Mode Control for Robot Manipulators , 2011, IEEE Transactions on Industrial Electronics.

[2]  Maolin Jin,et al.  Stability guaranteed auto-tuning algorithm of a time-delay controller using a modified Nussbaum function , 2014, Int. J. Control.

[3]  John J. Craig Zhu,et al.  Introduction to robotics mechanics and control , 1991 .

[4]  Goro Obinata,et al.  Development of a Wearable Robot for Assisting Carpentry Workers , 2006 .

[5]  József Bokor,et al.  Analysis and Control of Nonlinear Process Systems , 2004 .

[6]  Akira Abe Trajectory planning for flexible Cartesian robot manipulator by using artificial neural network: numerical simulation and experimental verification , 2011, Robotica.

[7]  Hao-Chi Chang,et al.  Sliding mode control on electro-mechanical systems , 1999 .

[8]  Stefano Di Gennaro,et al.  Sensorless High Order Sliding Mode Control of Induction Motors With Core Loss , 2014, IEEE Transactions on Industrial Electronics.

[9]  Miroslaw Galicki,et al.  Finite-time control of robotic manipulators , 2015, Autom..

[10]  Shin'ichi Yuta,et al.  Baggage Transportation and Navigation by a Wheeled Inverted Pendulum Mobile Robot , 2009, IEEE Transactions on Industrial Electronics.

[11]  Maolin Jin,et al.  Robust Compliant Motion Control of Robot With Nonlinear Friction Using Time-Delay Estimation , 2008, IEEE Transactions on Industrial Electronics.

[12]  Homayoon Kazerooni,et al.  An Approach to Automated Deburring by Robot Manipulators , 1986 .

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

[14]  Young-Bae Kim,et al.  Robust Time-Delay Control for the DC–DC Boost Converter , 2014, IEEE Transactions on Industrial Electronics.

[15]  Maolin Jin,et al.  Control and synchronization of chaos systems using time-delay estimation and supervising switching control , 2014 .

[16]  Quanmin Zhu,et al.  Advances and Applications in Sliding Mode Control Systems , 2014, Advances and Applications in Sliding Mode Control Systems.

[17]  Arie Levant,et al.  Principles of 2-sliding mode design , 2007, Autom..

[18]  Maolin Jin,et al.  Variable PID Gain Tuning Method Using Backstepping Control With Time-Delay Estimation and Nonlinear Damping , 2014, IEEE Transactions on Industrial Electronics.

[19]  M. Neila,et al.  Adaptive terminal sliding mode control for rigid robotic manipulators , 2011 .

[20]  S. P. Chan,et al.  Generalized impedance control of robot for assembly tasks requiring compliant manipulation , 1996, IEEE Trans. Ind. Electron..

[21]  Sang Hyun Park,et al.  Robust Tracking Under Nonlinear Friction Using Time-Delay Control With Internal Model , 2009, IEEE Transactions on Control Systems Technology.

[22]  Maolin Jin,et al.  High-Accuracy Tracking Control of Robot Manipulators Using Time Delay Estimation and Terminal Sliding Mode , 2011 .

[23]  Vadim I. Utkin,et al.  Chattering suppression methods in sliding mode control systems , 2007, Annu. Rev. Control..

[24]  Pyung Hun Chang,et al.  Relative Impedance Control for Dual-Arm Robots Performing Asymmetric Bimanual Tasks , 2014, IEEE Transactions on Industrial Electronics.

[25]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[26]  Maolin Jin,et al.  Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems , 2009 .

[27]  Maolin Jin,et al.  Continuous Nonsingular Terminal Sliding-Mode Control of Shape Memory Alloy Actuators Using Time Delay Estimation , 2015, IEEE/ASME Transactions on Mechatronics.

[28]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[29]  Seul Jung,et al.  Neural network impedance force control of robot manipulator , 1998, IEEE Trans. Ind. Electron..

[30]  Yuri B. Shtessel,et al.  Sliding mode control with gain adaptation—Application to an electropneumatic actuator , 2013 .

[31]  Oscar Barambones,et al.  Position Control of the Induction Motor Using an Adaptive Sliding-Mode Controller and Observers , 2014, IEEE Transactions on Industrial Electronics.

[32]  Charles J. Fallaha,et al.  Sliding-Mode Robot Control With Exponential Reaching Law , 2011, IEEE Transactions on Industrial Electronics.

[33]  Min-Shin Chen,et al.  Chattering reduction of sliding mode control by low‐pass filtering the control signal , 2010 .

[34]  Xinghuo Yu,et al.  A Robust Adaptive Terminal Sliding Mode Control for Rigid Robotic Manipulators , 1999, J. Intell. Robotic Syst..

[35]  Tzu-Chun Kuo,et al.  Adaptive Sliding-Mode Control for NonlinearSystems With Uncertain Parameters , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[36]  Dongkyoung Chwa,et al.  Orbital Stabilization of Inverted-Pendulum Systems via Coupled Sliding-Mode Control , 2009, IEEE Transactions on Industrial Electronics.

[37]  Wen-Yo Lee,et al.  Control and breakthrough detection of a three-axis robotic bone drilling system , 2006 .

[38]  Vadim I. Utkin,et al.  Chattering Problem in Sliding Mode Control Systems , 2006, International Workshop on Variable Structure Systems, 2006. VSS'06..

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

[40]  Mohammad Ali Badamchizadeh,et al.  Using Neural Network Model Predictive Control for Controlling Shape Memory Alloy-Based Manipulator , 2014, IEEE Transactions on Industrial Electronics.

[41]  T. A. Lasky,et al.  Robust independent joint controller design for industrial robot manipulators , 1991 .

[42]  Kamal Youcef-Toumi,et al.  A Time Delay Controller for Systems with Unknown Dynamics , 1988, 1988 American Control Conference.