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project-GMPIC

Geometric Metric Predictive Impedance Control on SE(3) Manifold

  • Our Project Folder: Geometric-Impedence-MPC
  • Animation Generated in MATLAB:
  • WAM_model_test_0004

1. Results for Feedback Linearization PID Controller:

Reference Feedback
F_EE = 0 reference_trajectory trajectory_fb_controller_P[1]I[0_8]D[1] EE_position_P[1]I[0_8]D[1]
F_EE = k reference_trajectory trajectory_fb_controller_P[1]I[0_8]D[1] EE_position_P[1]I[0_8]D[1]
F_EE(t) reference_trajectory trajectory_fb_controller_P[1]I[0_8]D[1] EE_position_P[1]I[0_8]D[1]

2. Results for MPC:

  • Pending ...

3. Our Utils in MATLAB:

  • Lie in Murray format, with OpenChain in Murray (v,w)
  • OpenChainMR but in Murray format (v,w)
  • RBT: rigid body transformation
  • WAM_model: modelling for WAM in SE3 with twist/wrench
  • Validate: validator, can be turned off for run-time performance

A. Ref:

A.1 Error State MPC:

https://github.com/UMich-CURLY/Error-State-MPC

A.1.1 Installation dependencies:

[OSQP Solver Oxford]

https://osqp.org/docs/get_started/matlab.html for matlab

Geometric-Impedance-Control-Public:

IFAC world congress 2023: "Geometric Impedance Control on SE(3) for Robotic Manipulators"

arxiv submitted version: https://doi.org/10.48550/arXiv.2211.07945

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