Abstract

An adaptive iterative learning control approach based on disturbance estimation has been developed for trajectory tracking of manipulators with uncertain parameters and external disturbances. The external disturbances are estimated by the feedback iterative learning method, whereas the uncertain parameters are compensated by adaptive control. This approach which is based on the disturbance estimation technique provides a rapid convergence of trajectory tracking errors. According to the Lyapunov theory, the sufficient condition of the asymptotic stability has been developed for the 2-degrees of freedom (DOFs) manipulator system. The numerical results show that the adaptive iterative learning control approach based on disturbance estimation is feasible and effective for the 2-DOFs manipulator. A comparison of the adaptive iterative learning control method and the iterative learning control method is completed, which shows that the adaptive iterative learning control method performs a faster convergence of the disturbance to the steady state.

Highlights

  • The robots are an important branch of robotics and an important part of today’s industry

  • The simulation of the developed adaptive iterative learning control (AILC) scheme is achieved on a 2-degrees of freedom (DOFs) manipulator, where the results demonstrate the feasibility and effectiveness of the proposed method

  • From above the three groups of numerical simulations, for the external disturbances (56), (57), and (58), the developed AILC scheme based on disturbance estimation can solve the trajectory tracking of 2-DOFs manipulator with uncertain parameters and external disturbances

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Summary

Introduction

The robots are an important branch of robotics and an important part of today’s industry. Keywords Adaptive iterative learning control, disturbance estimation, trajectory tracking, Lyapunov function, manipulator system The following control law is given by t0k 1⁄4 M^ k€qr þ C^ ðqk; q_kÞq_r þ G^ þ Kpek þ Kde_k ð11Þ

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Conclusion
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