Whole-Body Control of a Mobile Manipulator Using Feedback Linearization Based on Dual Quaternions. Silva, F. F. A. & Adorno, B. V. In 2016 XIII Latin American Robotics Symposium and IV Brazilian Robotics Symposium (LARS/SBR), pages 293–298, Recife, October, 2016. IEEE.
Whole-Body Control of a Mobile Manipulator Using Feedback Linearization Based on Dual Quaternions [link]Paper  doi  abstract   bibtex   
This paper presents a whole-body pose control of a mobile manipulator using a cascade scheme with two control loops. In the outer loop there is a nonlinear controller based on dual-quaternion feedback linearization—whose reference is a unit dual quaternion representing the desired end effector's pose—that acts as a dynamic trajectory generator and generates input signals for both nonholonomic mobile base and manip- ulator arm; the inner loop uses the input signals generated by the outer-loop as reference for an input-output linearizing controller that explicitly takes into account the nonholonomic constraints of the mobile base. Experimental results on a real platform are performed in order to compare the proposed scheme to a traditional whole-body kinematic controller using the pseudoinverse of the Jacobian matrix. The results show that the abrupt initial movement that is a characteristic of the classic approach, when the initial error is too large, is mitigated by the use of the nonlinear control.
@inproceedings{Silva2016,
  title = {Whole-{{Body Control}} of a {{Mobile Manipulator Using Feedback Linearization Based}} on {{Dual Quaternions}}},
  booktitle = {2016 {{XIII Latin American Robotics Symposium}} and {{IV Brazilian Robotics Symposium}} ({{LARS}}/{{SBR}})},
  author = {Silva, Frederico Fernandes Afonso and Adorno, Bruno Vilhena},
  year = {2016},
  month = oct,
  pages = {293--298},
  publisher = {IEEE},
  address = {Recife},
  doi = {10.1109/LARS-SBR.2016.56},
  abstract = {This paper presents a whole-body pose control of a mobile manipulator using a cascade scheme with two control loops. In the outer loop there is a nonlinear controller based on dual-quaternion feedback linearization---whose reference is a unit dual quaternion representing the desired end effector's pose---that acts as a dynamic trajectory generator and generates input signals for both nonholonomic mobile base and manip- ulator arm; the inner loop uses the input signals generated by the outer-loop as reference for an input-output linearizing controller that explicitly takes into account the nonholonomic constraints of the mobile base. Experimental results on a real platform are performed in order to compare the proposed scheme to a traditional whole-body kinematic controller using the pseudoinverse of the Jacobian matrix. The results show that the abrupt initial movement that is a characteristic of the classic approach, when the initial error is too large, is mitigated by the use of the nonlinear control.},
  copyright = {All rights reserved},
  isbn = {978-1-5090-3656-1},
  url = {https://www.researchgate.net/publication/312435840_Whole-Body_Control_of_a_Mobile_Manipulator_Using_Feedback_Linearization_Based_on_Dual_Quaternions#fullTextFileContent}
}

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