Neural network-based adaptive tracking control of mobile robots in the presence of wheel slip and external disturbance force

Abstract In this paper, a novel adaptive tracking controller is proposed for mobile robots in presence of wheel slip and external disturbance force based on neural networks with online weight updating laws. The uncertainties due to the wheel slip and external force are compensated online by neural networks in order to achieve the desired tracking performance. The online weight updating laws are modified versions of the backpropagation with an e-modification term added for robustness. The global uniformly ultimately bounded stability of the system to an arbitrarily small neighborhood of the origin is proven using Lyapunov method. The validity of the proposed controller is confirmed by two simulation examples of tracking a straight line and a U-shape trajectory.

[1]  Andrew A. Goldenberg,et al.  Robust damping control of mobile manipulators , 2002, IEEE Trans. Syst. Man Cybern. Part B.

[2]  Xuan Sun,et al.  An adaptive sliding mode backstepping control for the mobile manipulator with nonholonomic constraints , 2013, Commun. Nonlinear Sci. Numer. Simul..

[3]  Benjamin J. Southwell,et al.  Human Object Recognition Using Colour and Depth Information from an RGB-D Kinect Sensor , 2013 .

[4]  B. Anderson,et al.  Robust model reference adaptive control , 1986 .

[5]  Maxime Gautier,et al.  A New Closed-Loop Output Error Method for Parameter Identification of Robot Dynamics , 2010, IEEE Transactions on Control Systems Technology.

[6]  Long Cheng,et al.  Adaptive neural network tracking control for manipulators with uncertain kinematics, dynamics and actuator model , 2009, Autom..

[7]  K. Narendra,et al.  Bounded error adaptive control , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[8]  De-Shuang Huang,et al.  A Constructive Hybrid Structure Optimization Methodology for Radial Basis Probabilistic Neural Networks , 2008, IEEE Transactions on Neural Networks.

[9]  Frank L. Lewis,et al.  Robust neural network control of rigid-link electrically-driven robots , 1995, Proceedings of Tenth International Symposium on Intelligent Control.

[10]  Yanrong Hu,et al.  A fuzzy neural dynamics based tracking controller for a nonholonomic mobile robot , 2003, Proceedings 2003 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM 2003).

[11]  K. Narendra,et al.  A New Adaptive Law for Robust Adaptation without Persistent Excitation , 1986, 1986 American Control Conference.

[12]  De-Shuang Huang The local minima-free condition of feedforward neural networks for outer-supervised learning , 1998, IEEE Trans. Syst. Man Cybern. Part B.

[13]  Sung Jin Yoo Approximation-based adaptive control for a class of mobile robots with unknown skidding and slipping , 2012 .

[14]  D.-S. Huang,et al.  Radial Basis Probabilistic Neural Networks: Model and Application , 1999, Int. J. Pattern Recognit. Artif. Intell..

[15]  Simon G. Fabri,et al.  Dual Adaptive Dynamic Control of Mobile Robots Using Neural Networks , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[16]  Jun-Ho Oh,et al.  Tracking control of a two-wheeled mobile robot using inputoutput linearization , 1999 .

[17]  Ashitava Ghosal,et al.  Modeling of slip for wheeled mobile robots , 1995, IEEE Trans. Robotics Autom..

[18]  Simon X. Yang,et al.  Tracking control of a mobile robot using a neural dynamics based approach , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[19]  Liang Ding,et al.  Adaptive motion control of wheeled mobile robot with unknown slippage , 2014, Int. J. Control.

[20]  Yu Tian,et al.  Control of a Mobile Robot Subject to Wheel Slip , 2014, J. Intell. Robotic Syst..

[21]  Jin Bae Park,et al.  Adaptive Neural Sliding Mode Control of Nonholonomic Wheeled Mobile Robots With Model Uncertainty , 2009, IEEE Transactions on Control Systems Technology.

[22]  Sunil Kumar Agrawal,et al.  Differential flatness-based robust control of mobile robots in the presence of slip , 2011, Int. J. Robotics Res..

[23]  Leonid M. Fridman,et al.  Second-order sliding-mode observer for mechanical systems , 2005, IEEE Transactions on Automatic Control.

[24]  Frank L. Lewis,et al.  Control of a nonholomic mobile robot: Backstepping kinematics into dynamics , 1997 .

[25]  Fumio Miyazaki,et al.  A stable tracking control method for an autonomous mobile robot , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[26]  Steven Dubowsky,et al.  An optimal information method for mobile manipulator dynamic parameter identification , 2003 .

[27]  Mignon Park,et al.  Generalized Extended State Observer Approach to Robust Tracking Control for Wheeled Mobile Robot with Skidding and Slipping , 2013 .

[28]  Danwei Wang,et al.  Integrated Estimation for Wheeled Mobile Robot posture, velocities, and wheel skidding perturbations , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[29]  Okyay Kaynak,et al.  Neuro-sliding mode control of robotic manipulators , 1997, 1997 8th International Conference on Advanced Robotics. Proceedings. ICAR'97.

[30]  Hee-Jun Kang,et al.  Second Order Sliding Mode-Based Output Feedback Tracking Control for Uncertain Robot Manipulators , 2013 .

[31]  S. Jakubek,et al.  Proprioceptive Navigation, Slip Estimation and Slip Control for Autonomous Wheeled Mobile Robots , 2006, 2006 IEEE Conference on Robotics, Automation and Mechatronics.

[32]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot using neural networks , 1998, IEEE Trans. Neural Networks.

[33]  Urbano Nunes,et al.  Path-following control of mobile robots in presence of uncertainties , 2005, IEEE Transactions on Robotics.

[34]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot: backstepping kinematics into dynamics , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[35]  Yulin Zhang,et al.  Variable Structure Control of a Differentially Steered Wheeled Mobile Robot , 2003, J. Intell. Robotic Syst..

[36]  Long Cheng,et al.  Adaptive Control of an Electrically Driven Nonholonomic Mobile Robot via Backstepping and Fuzzy Approach , 2009, IEEE Transactions on Control Systems Technology.

[37]  Heidar Ali Talebi,et al.  A stable neural network-based observer with application to flexible-joint manipulators , 2006, IEEE Transactions on Neural Networks.

[38]  Chih-Lyang Hwang,et al.  Neural-network-based variable structure control of electrohydraulic servosystems subject to huge uncertainties without persistent excitation , 1999 .

[39]  Aníbal Ollero,et al.  Stability analysis of mobile robot path tracking , 1995, Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots.

[40]  De-Shuang Huang The United Adaptive Learning Algorithm for The Link Weights and Shape Parameter in RBFN for Pattern Recognition , 1997, Int. J. Pattern Recognit. Artif. Intell..