Adaptive Fuzzy Backstepping Tracking Control for Flexible Robotic Manipulator

In this paper, an adaptive fuzzy state feedback control method is proposed for the single-link robotic manipulator system. The considered system contains unknown nonlinear function and actuator saturation. Fuzzy logic systems U+0028 FLSs U+0029 and a smooth function are used to approximate the unknown nonlinearities and the actuator saturation, respectively. By combining the command-filter technique with the backstepping design algorithm, a novel adaptive fuzzy tracking backstepping control method is developed. It is proved that the adaptive fuzzy control scheme can guarantee that all the variables in the closedloop system are bounded, and the system output can track the given reference signal as close as possible. Simulation results are provided to illustrate the effectiveness of the proposed approach.

[1]  Yuanqing Xia,et al.  Adaptive Fuzzy Control for Multilateral Cooperative Teleoperation of Multiple Robotic Manipulators Under Random Network-Induced Delays , 2014, IEEE Transactions on Fuzzy Systems.

[2]  Peng Shi,et al.  Observer and Command-Filter-Based Adaptive Fuzzy Output Feedback Control of Uncertain Nonlinear Systems , 2015, IEEE Transactions on Industrial Electronics.

[3]  Honghua Zhang,et al.  Immersion and invariance based command-filtered adaptive backstepping control of VTOL vehicles , 2013, Autom..

[4]  Shuzhi Sam Ge,et al.  Adaptive Control of a Flexible Crane System With the Boundary Output Constraint , 2014, IEEE Transactions on Industrial Electronics.

[5]  Gang Feng,et al.  Control Design for a Class of Affine Nonlinear Descriptor Systems With Actuator Saturation , 2015, IEEE Transactions on Automatic Control.

[6]  Marios M. Polycarpou,et al.  Command filtered backstepping , 2009, 2008 American Control Conference.

[7]  Bing Chen,et al.  Robust Adaptive Fuzzy Tracking Control for Pure-Feedback Stochastic Nonlinear Systems With Input Constraints , 2013, IEEE Transactions on Cybernetics.

[8]  Jan Swevers,et al.  Finite-time tracking control for robot manipulators with actuator saturation , 2014 .

[9]  Di-Hua Zhai,et al.  Robust saturation-based control of bilateral teleoperation without velocity measurements , 2015 .

[10]  Do Wan Kim,et al.  Tracking of REMUS autonomous underwater vehicles with actuator saturations , 2015, Autom..

[11]  Shuzhi Sam Ge,et al.  Constrained Multilegged Robot System Modeling and Fuzzy Control With Uncertain Kinematics and Dynamics Incorporating Foot Force Optimization , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[12]  Shuzhi Sam Ge,et al.  Boundary control of a flexible marine installation system , 2011, 49th IEEE Conference on Decision and Control (CDC).

[13]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control , 1994 .

[14]  Jing Zhou,et al.  Adaptive Neural Network Control of Uncertain Nonlinear Systems in the Presence of Input Saturation , 2006, 2006 9th International Conference on Control, Automation, Robotics and Vision.

[15]  Yongming Li,et al.  Adaptive fuzzy output feedback control for a single-link flexible robot manipulator driven DC motor via backstepping ☆ , 2013 .

[16]  Marios M. Polycarpou,et al.  Command filtered adaptive backstepping , 2010, Proceedings of the 2010 American Control Conference.

[17]  An-Chyau Huang,et al.  Adaptive sliding control for single-link flexible-joint robot with mismatched uncertainties , 2004, IEEE Transactions on Control Systems Technology.

[18]  Tianyou Chai,et al.  Nonlinear Disturbance Observer-Based Control Design for a Robotic Exoskeleton Incorporating Fuzzy Approximation , 2015, IEEE Transactions on Industrial Electronics.

[19]  Wen-Jer Chang,et al.  Fuzzy control of multiplicative noised nonlinear systems subject to actuator saturation and H∞ performance constraints , 2015, Neurocomputing.

[20]  Alin Albu-Schäffer,et al.  On the Passivity-Based Impedance Control of Flexible Joint Robots , 2008, IEEE Transactions on Robotics.

[21]  Yuanqing Xia,et al.  Finite-Time Tracking Control of Rigid Spacecraft Under Actuator Saturations and Faults , 2018, IEEE Transactions on Automation Science and Engineering.

[22]  Guang-Ren Duan,et al.  Trilateral Teleoperation of Adaptive Fuzzy Force/Motion Control for Nonlinear Teleoperators With Communication Random Delays , 2013, IEEE Transactions on Fuzzy Systems.

[23]  Jing Zhou,et al.  Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance , 2011, IEEE Transactions on Automatic Control.

[24]  Yuan Yuan,et al.  Back-stepping control of two-link flexible manipulator based on extended state observer , 2015, 2015 34th Chinese Control Conference (CCC).

[25]  Alessandro De Luca,et al.  PD control with on-line gravity compensation for robots with elastic joints: Theory and experiments , 2005, Autom..

[26]  Yuanqing Xia,et al.  Adaptive Control for Teleoperation System With Varying Time Delays and Input Saturation Constraints , 2016, IEEE Transactions on Industrial Electronics.

[27]  Zhijun Li,et al.  Dynamic Balance Optimization and Control of Quadruped Robot Systems With Flexible Joints , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[28]  Min Tan,et al.  Adaptive Control of a Class of Nonlinear Pure-Feedback Systems Using Fuzzy Backstepping Approach , 2008, IEEE Transactions on Fuzzy Systems.

[29]  Yuanqing Xia,et al.  Adaptive Fuzzy Control of Multilateral Asymmetric Teleoperation for Coordinated Multiple Mobile Manipulators , 2016, IEEE Transactions on Fuzzy Systems.

[30]  Fuchun Sun,et al.  Decentralized Fuzzy Control of Multiple Cooperating Robotic Manipulators With Impedance Interaction , 2015, IEEE Transactions on Fuzzy Systems.

[31]  Alessandro De Luca,et al.  Robots with Flexible Elements , 2016, Springer Handbook of Robotics, 2nd Ed..