Neuroadaptive Robotic Control Under Time-Varying Asymmetric Motion Constraints: A Feasibility-Condition-Free Approach

This paper presents a neuroadaptive tracking control approach for uncertain robotic manipulators subject to asymmetric yet time-varying full-state constraints without involving feasibility conditions. Existing control algorithms either ignore motion constraints or impose additional feasibility conditions. In this paper, by integrating a nonlinear state-dependent transformation into each step of backstepping design, we develop a control scheme that not only directly accommodates asymmetric yet time-varying motion (position and velocity) constraints but also removes the feasibility conditions on virtual controllers, simplifying design process, and making implementation less demanding. Neural network (NN) unit accounting for system uncertainties is included in the loop during the entire system operational envelope in which the precondition on the NN training inputs is always ensured. The effectiveness and benefits of the proposed control method for robotic manipulator are validated via computer simulation.

[1]  Y. Song Adaptive motion tracking control of robot manipulators-non-regressor based approach , 1996 .

[2]  Yongduan Song,et al.  Neuroadaptive Cooperative Control Without Velocity Measurement for Multiple Humanoid Robots Under Full-State Constraints , 2019, IEEE Transactions on Industrial Electronics.

[3]  Shaocheng Tong,et al.  Adaptive output feedback control for a class of nonlinear systems with full-state constraints , 2014, Int. J. Control.

[4]  Shaocheng Tong,et al.  Adaptive Controller Design-Based ABLF for a Class of Nonlinear Time-Varying State Constraint Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[5]  Shaocheng Tong,et al.  Adaptive NN Control Using Integral Barrier Lyapunov Functionals for Uncertain Nonlinear Block-Triangular Constraint Systems , 2017, IEEE Transactions on Cybernetics.

[6]  Mark W. Spong,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[7]  Zhi Liu,et al.  Personalized Variable Gain Control With Tremor Attenuation for Robot Teleoperation , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  R. Mahony,et al.  Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[9]  Martin Guay,et al.  Extremum-seeking control of state-constrained nonlinear systems , 2004, Autom..

[10]  Weiping Li,et al.  Composite adaptive control of robot manipulators , 1989, Autom..

[11]  Xingjian Wang,et al.  Teleoperation Control Based on Combination of Wave Variable and Neural Networks , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[12]  Shaocheng Tong,et al.  Barrier Lyapunov Functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints , 2016, Autom..

[13]  Yongduan Song,et al.  Prescribed Performance Control of Uncertain Euler–Lagrange Systems Subject to Full-State Constraints , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[14]  Shaocheng Tong,et al.  Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems , 2017, Autom..

[15]  Keng Peng Tee,et al.  Control of nonlinear systems with time-varying output constraints , 2009, 2009 IEEE International Conference on Control and Automation.

[16]  Keng Peng Tee,et al.  Control of state-constrained nonlinear systems using Integral Barrier Lyapunov Functionals , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[17]  D. Mayne Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[18]  Yongduan Song,et al.  Neuroadaptive Fault-Tolerant Control of Nonlinear Systems Under Output Constraints and Actuation Faults , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[19]  Frank L. Lewis,et al.  Neural Network Control Of Robot Manipulators And Non-Linear Systems , 1998 .

[20]  Wei He,et al.  Adaptive Neural Network Control of an Uncertain Robot With Full-State Constraints , 2016, IEEE Transactions on Cybernetics.

[21]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[22]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[23]  Chaoli Wang,et al.  Semiglobal practical stabilization of nonholonomic wheeled mobile robots with saturated inputs , 2008, Autom..

[24]  Yu Tang,et al.  Terminal sliding mode control for rigid robots , 1998, Autom..

[25]  Warren E. Dixon,et al.  Asymptotic Tracking for Systems With Structured and Unstructured Uncertainties , 2006, IEEE Transactions on Control Systems Technology.

[26]  Antonio Bicchi,et al.  Asymmetric Bimanual Control of Dual-Arm Exoskeletons for Human-Cooperative Manipulations , 2018, IEEE Transactions on Robotics.

[27]  Yongduan Song,et al.  Zero-error tracking control with pre-assignable convergence mode for nonlinear systems under nonvanishing uncertainties and unknown control direction , 2018, Syst. Control. Lett..

[28]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[29]  Shaocheng Tong,et al.  Neural Networks-Based Adaptive Control for Nonlinear State Constrained Systems With Input Delay , 2019, IEEE Transactions on Cybernetics.

[30]  Francis Eng Hock Tay,et al.  Barrier Lyapunov Functions for the control of output-constrained nonlinear systems , 2009, Autom..

[31]  Keng Peng Tee,et al.  Control of nonlinear systems with partial state constraints using a barrier Lyapunov function , 2011, Int. J. Control.

[32]  Alberto Bemporad,et al.  Reference governor for constrained nonlinear systems , 1998, IEEE Trans. Autom. Control..

[33]  Ye Cao,et al.  Adaptive PID-like fault-tolerant control for robot manipulators with given performance specifications , 2020, Int. J. Control.

[34]  Yongduan Song,et al.  Adaptive Control With Exponential Regulation in the Absence of Persistent Excitation , 2017, IEEE Transactions on Automatic Control.

[35]  Yongduan Song,et al.  Computationally inexpensive fault tolerant control of uncertain non-linear systems with non-smooth asymmetric input saturation and undetectable actuation failures , 2016 .

[36]  Bernard Friedland,et al.  On adaptive friction compensation , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[37]  Keng Peng Tee,et al.  Adaptive Neural Control for Output Feedback Nonlinear Systems Using a Barrier Lyapunov Function , 2010, IEEE Transactions on Neural Networks.

[38]  Charalampos P. Bechlioulis,et al.  Guaranteeing prescribed performance and contact maintenance via an approximation free robot force/position controller , 2012, Autom..

[39]  Keng Peng Tee,et al.  Robust Adaptive Neural Tracking Control for a Class of Perturbed Uncertain Nonlinear Systems With State Constraints , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[40]  Jie Huang,et al.  Finite-time control for robot manipulators , 2002, Syst. Control. Lett..

[41]  Shaocheng Tong,et al.  Neural Network Control-Based Adaptive Learning Design for Nonlinear Systems With Full-State Constraints , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[42]  Suguru Arimoto,et al.  A New Feedback Method for Dynamic Control of Manipulators , 1981 .

[43]  Yongduan Song,et al.  Removing the Feasibility Conditions Imposed on Tracking Control Designs for State-Constrained Strict-Feedback Systems , 2019, IEEE Transactions on Automatic Control.