Automatic Differentiation of Serial Manipulator Jacobians Using Multidual Algebra

Author:

Condurache DanielORCID,Cojocari MihailORCID,Birlescu IosifORCID,Gherman BogdanORCID

Publisher

Springer Nature Switzerland

Reference5 articles.

1. Zhongtao, F., Spyrakos-Papastavridis, E., Lin, Y., Dai, J.S.: Analytical expressions of serial manipulator Jacobians and their high-order derivatives based on lie theory. In: 2020 IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 7095–7100. (2020)

2. Messelmi, F.: Analysis of dual functions, annual review of chaos theory, bifurcations and dynamical systems, vol. 4, pp. 37–54. (2013). ISSN 2253-0371

3. Condurache, D.: “Higher-order kinematics of lower-pair chains with hyper-multidual algebra” IDETC/CIE 2022, St. Louis, Missouri. August 14–17 (2022)

4. Condurache, D., Cojocari, M., Popa, I.: Hypercomplex dual lie nilpotent algebras and higher-order kinematics of rigid body. In: Mechanisms and Machine Science, vol 127. Springer, Cham, (2022)

5. Müller, A.: An overview of formulae for the higher-order kinematics of lower-pair chains with applications in robotics and mechanism theory. Mech. Mach. Theory 142, 103594 (2019)

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