Control of the Cart-Pendulum System Based on Discrete Mechanics - Part I: Theoretical Analysis and Stabilization Control -

Author:

KAI Tatsuya1

Affiliation:

1. Graduate School of Engineering, Kyushu University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Reference17 articles.

1. Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs

2. [2] C. Kane, J.E. Marsden, and M. Ortiz, “Symplectic energy-momentum integrators,” Mathematical Physics, vol.40, pp.3353-3371, 1999.

3. Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems

4. [4] J.E. Marsden and M. West, “Discrete mechanics and variational integrators,” Acta Numerica, vol.10, pp.3571-5145, 2001.

5. [5] O. Junge, J.E. Marsden, and S. Ober-Blöbaum, “Discrete mechanics and optimal control,” Proc. 16th IFAC World Congress, Praha, Czech Republic, Paper no.We-M14-TO/3, 2005.

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