Recurrent-Neural-Network-Based Velocity-Level Redundancy Resolution for Manipulators Subject to a Joint Acceleration Limit

For the safe operation of redundant manipulators, physical constraints such as the joint angle, joint velocity, and joint acceleration limits should be taken into account when designing redundancy resolution schemes. Velocity-level redundancy resolution schemes are widely adopted in the kinematic control of redundant manipulators due to the existence of the well-tuned inner loop regarding the joint velocity control. However, it is difficult to deal with joint acceleration limits for velocity-level redundancy resolution methods. In this paper, a recurrent-neural-network-based velocity-level redundancy resolution method is proposed to deal with the problem, and theoretical results are given to guarantee its performance. By the proposed method, the end-effector position error is asymptotically convergent to zero, and all the joint limits are not violated. The effectiveness and superiority of the proposed scheme are validated via simulation results.

[1]  Dimitrios Papageorgiou,et al.  Kinematic control of redundant robots with guaranteed joint limit avoidance , 2016, Robotics Auton. Syst..

[2]  Hui Shao,et al.  Design, Verification, and Application of New Discrete-Time Recurrent Neural Network for Dynamic Nonlinear Equations Solving , 2018, IEEE Transactions on Industrial Informatics.

[3]  Jun Wang,et al.  A general projection neural network for solving monotone variational inequalities and related optimization problems , 2004, IEEE Transactions on Neural Networks.

[4]  Yuanqing Xia,et al.  SMC Design for Robust Stabilization of Nonlinear Markovian Jump Singular Systems , 2018, IEEE Transactions on Automatic Control.

[5]  Shuai Li,et al.  Manipulability Optimization of Redundant Manipulators Using Dynamic Neural Networks , 2017, IEEE Transactions on Industrial Electronics.

[6]  Yunong Zhang,et al.  Proposing and Validation of a New Four-Point Finite-Difference Formula With Manipulator Application , 2018, IEEE Transactions on Industrial Informatics.

[7]  Hamid Reza Karimi,et al.  Sliding Mode Control of Fuzzy Singularly Perturbed Systems With Application to Electric Circuit , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  Jun Wang,et al.  A dual neural network for redundancy resolution of kinematically redundant manipulators subject to joint limits and joint velocity limits , 2003, IEEE Trans. Neural Networks.

[9]  Lin Xiao,et al.  A nonlinearly-activated neurodynamic model and its finite-time solution to equality-constrained quadratic optimization with nonstationary coefficients , 2016, Appl. Soft Comput..

[10]  Jon C. Dattorro,et al.  Convex Optimization & Euclidean Distance Geometry , 2004 .

[11]  Zsolt Kemény,et al.  Redundancy resolution in robots using parameterization through space , 2003, IEEE Trans. Ind. Electron..

[12]  Jefersson Alex dos Santos,et al.  Towards better exploiting convolutional neural networks for remote sensing scene classification , 2016, Pattern Recognit..

[13]  Weijun Liu,et al.  Pseudoinverse-type bi-criteria minimization scheme for redundancy resolution of robot manipulators , 2014, Robotica.

[14]  R. Venkatesh Babu,et al.  DeepFix: A Fully Convolutional Neural Network for Predicting Human Eye Fixations , 2015, IEEE Transactions on Image Processing.

[15]  Ji Xiang,et al.  General-Weighted Least-Norm Control for Redundant Manipulators , 2010, IEEE Transactions on Robotics.

[16]  Long Jin,et al.  G2-Type SRMPC Scheme for Synchronous Manipulation of Two Redundant Robot Arms , 2015, IEEE Transactions on Cybernetics.

[17]  Yunong Zhang,et al.  Repetitive Motion Planning and Control of Redundant Robot Manipulators , 2013 .

[18]  Jonathan Claassens,et al.  An analytical solution for the inverse kinematics of a redundant 7DoF Manipulator with link offsets , 2010, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[19]  Shuai Li,et al.  Cooperative Motion Generation in a Distributed Network of Redundant Robot Manipulators With Noises , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[20]  Dragomir N. Nenchev,et al.  Redundancy resolution through local optimization: A review , 1989, J. Field Robotics.

[21]  Charles A. Klein,et al.  Review of pseudoinverse control for use with kinematically redundant manipulators , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[22]  Oussama Khatib,et al.  Control of Redundant Robots Under Hard Joint Constraints: Saturation in the Null Space , 2015, IEEE Transactions on Robotics.

[23]  Dongsheng Guo,et al.  New Pseudoinverse-Based Path-Planning Scheme With PID Characteristic for Redundant Robot Manipulators in the Presence of Noise , 2018, IEEE Transactions on Control Systems Technology.

[24]  Yunong Zhang,et al.  QP-based refined manipulability-maximizing scheme for coordinated motion planning and control of physically constrained wheeled mobile redundant manipulators , 2016, Nonlinear Dynamics.

[25]  Siyuan Chen,et al.  Adaptive Projection Neural Network for Kinematic Control of Redundant Manipulators With Unknown Physical Parameters , 2018, IEEE Transactions on Industrial Electronics.

[26]  Oussama Khatib,et al.  Motion control of redundant robots under joint constraints: Saturation in the Null Space , 2012, 2012 IEEE International Conference on Robotics and Automation.

[27]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Control for a Class of Nonlinear Systems With Full State Constraints , 2018, IEEE Transactions on Fuzzy Systems.

[28]  Long Cheng,et al.  Multicriteria Optimization for Coordination of Redundant Robots Using a Dual Neural Network , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Zhijun Zhang,et al.  A Varying-Parameter Convergent-Differential Neural Network for Solving Joint-Angular-Drift Problems of Redundant Robot Manipulators , 2018, IEEE/ASME Transactions on Mechatronics.

[30]  Shuai Li,et al.  Kinematic Control of Redundant Manipulators Using Neural Networks , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[31]  Dongsheng Guo,et al.  Acceleration-Level Inequality-Based MAN Scheme for Obstacle Avoidance of Redundant Robot Manipulators , 2014, IEEE Transactions on Industrial Electronics.

[32]  Hamid Reza Karimi,et al.  Dissipativity-Based Fuzzy Integral Sliding Mode Control of Continuous-Time T-S Fuzzy Systems , 2018, IEEE Transactions on Fuzzy Systems.

[33]  Qingshan Liu,et al.  A Projection Neural Network for Constrained Quadratic Minimax Optimization , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[34]  Weidong Zhu,et al.  An off-line programming system for robotic drilling in aerospace manufacturing , 2013 .

[35]  Long Jin,et al.  Robot Manipulator Redundancy Resolution , 2017 .

[36]  Ji Xiang,et al.  On the Virtual Joints for Kinematic Control of Redundant Manipulators With Multiple Constraints , 2018, IEEE Transactions on Control Systems Technology.

[37]  Xin Luo,et al.  Velocity-Level Control With Compliance to Acceleration-Level Constraints: A Novel Scheme for Manipulator Redundancy Resolution , 2018, IEEE Transactions on Industrial Informatics.

[38]  Yunong Zhang,et al.  Acceleration-Level Repetitive Motion Planning and Its Experimental Verification on a Six-Link Planar Robot Manipulator , 2013, IEEE Transactions on Control Systems Technology.

[39]  Kazuhiro Kosuge,et al.  Analytical Inverse Kinematic Computation for 7-DOF Redundant Manipulators With Joint Limits and Its Application to Redundancy Resolution , 2008, IEEE Transactions on Robotics.

[40]  Jun Wang,et al.  A dual neural network for bi-criteria kinematic control of redundant manipulators , 2002, IEEE Trans. Robotics Autom..