A generalized global adaptive tracking control scheme for robot manipulators with bounded inputs

Summary In this work, a generalized adaptive scheme for the global motion control of robot manipulators with constrained inputs is proposed. It gives rise to various families of bounded adaptive controllers defined through a general class of saturation functions. Compared with adaptive tracking control algorithms previously developed in a bounded input context, the proposed adaptive approach guarantees the motion control objective for any initial condition, avoiding discontinuities throughout the scheme, preventing the inputs to reach their natural saturation bounds, and permitting innovation on the saturating structure through its generalized form, giving a wide range of possibilities for performance improvement. Experimental results corroborate the efficiency of the proposed scheme. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  Víctor Santibáñez,et al.  Output-feedback adaptive control for the global regulation of robot manipulators with bounded inputs , 2013 .

[2]  Fernando Reyes-Cortés,et al.  A generalized scheme for the global adaptive regulation of robot manipulators with bounded inputs , 2013, Robotica.

[3]  Antonio Loría,et al.  Uniform Parametric Convergence in the Adaptive Control of Mechanical Systems , 2005, Eur. J. Control.

[4]  Víctor Santibáñez,et al.  Simple extensions of the PD-with-gravity-compensation control law for robot manipulators with bounded inputs , 2006, IEEE Transactions on Control Systems Technology.

[5]  V. Santibáñez,et al.  Global trajectory tracking through output feedback for robot manipulators with bounded inputs , 2011 .

[6]  Frank L. Lewis,et al.  Robot Manipulator Control: Theory and Practice , 2003 .

[7]  Bruno Siciliano,et al.  Modelling and Control of Robot Manipulators , 1997, Advanced Textbooks in Control and Signal Processing.

[8]  M. Athans,et al.  Control systems with rate and magnitude saturation for neutrally stable open loop systems , 1990, 29th IEEE Conference on Decision and Control.

[9]  N. Krikelis,et al.  Design of tracking systems subject to actuator saturation and integrator wind-up , 1984 .

[10]  Rob Dekkers,et al.  Control of Robot Manipulators in Joint Space , 2005 .

[11]  H. Nijmeijer,et al.  Bounded output feedback tracking control of fully actuated Euler-Lagrange systems , 1998 .

[12]  A. Teel.  Global stabilization and restricted tracking for multiple integrators with bounded controls , 1992 .

[13]  Robert L. Kosut,et al.  Design of Linear Systems with Saturating Linear Control and Bounded States , 1982, 1982 American Control Conference.

[14]  Fernando Reyes,et al.  Experimental evaluation of model-based controllers on a direct-drive robot arm , 2001 .

[15]  Brian J. Driessen.  Adaptive global tracking for robots with unknown link and actuator dynamics , 2006 .

[16]  Javier Moreno-Valenzuela,et al.  An adaptive output feedback motion tracking controller for robot manipulators: Uniform global asymptotic stability and experimentation , 2013, Int. J. Appl. Math. Comput. Sci..

[17]  Warren E. Dixon,et al.  Tracking Control of Robot Manipulators with Bounded Torque Inputs , 1999, Robotica.

[18]  Suguru Arimoto,et al.  Control Theory of Nonlinear Mechanical Systems , 1996 .

[19]  Brian Armstrong-Hélouvry,et al.  Control of machines with friction , 1991, The Kluwer international series in engineering and computer science.

[20]  Bin Yao,et al.  A globally stable saturated desired compensation adaptive robust control for linear motor systems with comparative experiments , 2006 .

[21]  V. Santibanez,et al.  Global asymptotic stability of bounded output feedback tracking control for robot manipulators , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[22]  Fernando Reyes-Cortés,et al.  Experimental Evaluation of Identification Schemes on a Direct Drive Robot , 1997, Robotica.

[23]  P. Tomei,et al.  Global Adaptive Learning Control of Robotic Manipulators by Output Error Feedback , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[24]  Bor-Sen Chen,et al.  The stability of feedback control with nonlinear saturating actuator: time domain approach , 1988 .

[25]  V. Santibáñez,et al.  On Output Feedback Tracking Control of Robot Manipulators with Bounded Torque Input , 2008 .

[26]  Wei Zhang,et al.  Adaptive Robotic Control Based on a Filter Function Under the Saturation of Actuators , 2006, 2006 International Conference on Machine Learning and Cybernetics.

[27]  Víctor Santibáñez,et al.  A Class of OFT Controllers for Torque-Saturated Robot Manipulators: Lyapunov Stability and Experimental Evaluation , 2008, J. Intell. Robotic Syst..

[28]  Bin Yao,et al.  Adaptive Robust Repetitive Control of an Industrial Biaxial Precision Gantry for Contouring Tasks , 2011, IEEE Transactions on Control Systems Technology.

[29]  Fernando Reyes-Cortés,et al.  Global Trajectory Tracking Through Static Feedback for Robot Manipulators With Bounded Inputs , 2009, IEEE Transactions on Control Systems Technology.