Whole-Body Control of a Mobile Manipulator Using Feedback Linearization and Dual Quaternion Algebra. Silva, F. F. A. & Adorno, B. V. Journal of Intelligent & Robotic Systems, 91(2):249–262, Journal of Intelligent & Robotic Systems, August, 2018.
Whole-Body Control of a Mobile Manipulator Using Feedback Linearization and Dual Quaternion Algebra [link]Paper  doi  abstract   bibtex   2 downloads  
This paper presents the whole-body control of a nonholonomic mobile manipulator using feedback lin- earization and dual quaternion algebra. The controller, whose reference is a unit dual quaternion representing the desired end-effector pose, acts as a dynamic trajectory generator for the end-effector, and input signals for both nonholonomic mobile base and manipulator arm are gener- ated by using the pseudoinverse of the whole-body Jacobian matrix. In order to deal with the nonholonomic constraints, the input signal to the mobile base generated by the whole- body motion control is properly remapped to ensure feasi- bility. The Lyapunov stability for the proposed controller is presented and experimental results on a real platform are performed in order to compare the proposed scheme to a tra- ditional classic whole-body linear kinematic controller. The results show that, for similar convergence rate, the nonlin- ear controller is capable of generating smoother movements while having lower control effort than the linear controller.
@article{Silva2018,
  title = {Whole-Body {{Control}} of a {{Mobile Manipulator Using Feedback Linearization}} and {{Dual Quaternion Algebra}}},
  author = {Silva, Frederico Fernandes Afonso and Adorno, Bruno Vilhena},
  year = {2018},
  month = aug,
  journal = {Journal of Intelligent \& Robotic Systems},
  volume = {91},
  number = {2},
  pages = {249--262},
  publisher = {Journal of Intelligent \& Robotic Systems},
  issn = {0921-0296},
  doi = {10.1007/s10846-017-0686-3},
  abstract = {This paper presents the whole-body control of a nonholonomic mobile manipulator using feedback lin- earization and dual quaternion algebra. The controller, whose reference is a unit dual quaternion representing the desired end-effector pose, acts as a dynamic trajectory generator for the end-effector, and input signals for both nonholonomic mobile base and manipulator arm are gener- ated by using the pseudoinverse of the whole-body Jacobian matrix. In order to deal with the nonholonomic constraints, the input signal to the mobile base generated by the whole- body motion control is properly remapped to ensure feasi- bility. The Lyapunov stability for the proposed controller is presented and experimental results on a real platform are performed in order to compare the proposed scheme to a tra- ditional classic whole-body linear kinematic controller. The results show that, for similar convergence rate, the nonlin- ear controller is capable of generating smoother movements while having lower control effort than the linear controller.},
  copyright = {All rights reserved},
  keywords = {dual quaternion,Dual quaternion,Mobile manipulat,Mobile manipulator,nonlinear control,Nonlinear control,Whole-body control},
  url = {https://www.researchgate.net/publication/320202323_Whole-body_Control_of_a_Mobile_Manipulator_Using_Feedback_Linearization_and_Dual_Quaternion_Algebra#fullTextFileContent}
}

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