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SCIENCE CHINA Information Sciences, Volume 63 , Issue 7 : 170201(2020) https://doi.org/10.1007/s11432-019-2748-x

Bio-inspired robotic impedance adaptation for human-robot collaborative tasks

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  • ReceivedJun 18, 2019
  • AcceptedNov 29, 2019
  • PublishedMay 26, 2020

Abstract


Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant Nos. 61861136009, 61811530281).


References

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  • Figure 2

    (Color online) The diagram of the biomimetic controller.

  • Figure 3

    (Color online) The set-up (a) and the results of the disturbance test of (b) joint S0, (c) joint S1, (d) joint E0, (e) joint E1, (f) joint W0, (g) joint W1, and (h) joint W2.

  • Figure 4

    (Color online) The experimental set-up for the sawing task. (a) The human partner actively pulls the saw. The impedance of the robotic arm increases gradually from a small value to some extent. (b) The robot actively pulls the saw back owing to the large impedance. The human partner relaxes his muscle strength in this phase.

  • Figure 5

    (Color online) The experimental results of the sawing task. (a) Joint S1; (b) joint E1; (c) joint W0; (d) joints S0, E0, W0, and W2.

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    Algorithm 1 The online learning of the robotic compliant movement

    Require:The desired robot arm posture $(q_{0},~~\dot{q}_{0})$;

    Output: The computed joint torque command $~\tau_{c}^{t}~$ by (2) at each time step;

    Initialize the stiffness and damping matrix as $~K^{0}=\text{diag}\lbrace0,0,~\ldots,~0\rbrace~$ and $~D^{0}=\text{diag}\lbrace0,0,~\ldots,~0\rbrace~$;

    Initialize the feedforward vector as $~u^{0}=\text{diag}\lbrace0,0,~\ldots,~0\rbrace~$;

    Set the constant coefficients $\pi~$, $~\delta$, $a$, and $~b~$;

    Set the constant parametric vectors $~\alpha~$ and $~\beta~$;

    Set the stiffness range $~K^{\text{max}}~$ and $~K^{\text{min}}~$;

    for each time step $t~\in~[1,T]$

    Get the current robot joint states $~q~$ and $~\dot{q}~$;

    Compute the angle error and the velocity error according to (4);

    Compute the sliding error according to (8);

    Compute the vector $~\gamma~$ according to (16);

    Update the feedforward torque $~u^{t+1}=u^{t}~+~\Delta~u~$, using (15);

    Update the stiffness matrix $~K^{t+1}=K^{t}~+~\Delta~K~$, using (17);

    Adjust the stiffness values in a proper range based on (18);

    Compute the damping matrix $~D^{t+1}~$;

    Compute the impedance term $~v^{t+1}~$;

    Compute the joint torque $~\tau_{c}^{t+1}~$, using (2);

    Send the joint torque command to the robotic joint motors;

    end for