Discrete Optimal Control of Interconnected Mechanical Systems

A. van der Schaft and B. Maschke, “Interconnected mechanical systems, part i: geometry of interconnection and implicit hamiltonian systems,” in Modelling and Control of Mechanical Systems . World Scientific, 1997, pp. 1–15

1997

Earlier work this paper cites.

J. Betts, “Survey of numerical methods for trajectory optimization,” Journal of Guidance, Control and Dynamics , vol. 21, no. 2, pp. 193–207, 1998

1998

Earlier work this paper cites.

A. Bloch, J. Baillieul, P. Crouch, J. E. Marsden, D. Zenkov, P. Krishnaprasad, and R. M. Murray, Nonholonomic mechanics and control . Springer, 2003, vol. 24

2003

Earlier work this paper cites.

T. Lee, Computational geometric mechanics and control of rigid bodies . University of Michigan, 2008

2008

Earlier work this paper cites.

A. Sabanović, N. Sabanovic̀, and K. Ohnishi, “Control of interconnected mechanical systems,” in 17th IFAC World Congress . IFAC, 2008, pp. 3142–3147

2008

Earlier work this paper cites.

L. Colombo, D. De Diego, and M. Zuccalli, “Optimal control of underactuated mechanical systems: a geometric approach,” Journal of Mathematical Physics , vol. 51, no. 8, p. 083519, 2010

2010

Cited alongside, same era.

S. Ober-Blobaum, O. Junge, and J. E. Marsden, “Discrete mechanics and optimal control: An analysis,” ESAIM: Control, Optimisation and Calculus of Variations , vol. 17, no. 2, pp. 322–352, 2011

2011

Cited alongside, same era.

M. Kobilarov and J. Marsden, “Discrete geometric optimal control on lie groups,” IEEE Transactions on Robotics , vol. 27, no. 4, pp. 641–655, 2011

2011

Cited alongside, same era.

L. Colombo, F. Jiménez, and D. De Diego, “Variational integrators for mechanical control systems with symmetries,” Journal of Computational Dynamics , vol. 2, no. 2, pp. 193–225, 2015

2015

Cited alongside, same era.

J. Marsden and M. West, “Discrete mechanics and variational integrators,” Acta Numerica , 2017

2017

Later among the works it cites.

T. Madhushani, D. Maithripala, and J. Berg, “Feedback regularization and geometric pid control for trajectory tracking of mechanical systems: Hoop robots on an inclined plane,” in American Control Conference (ACC), 2017 . IEEE, 2017, pp. 3938–3943

2017

Later among the works it cites.

S. Nair, R. Banavar, and D. Maithripala, “Control synthesis for an underactuated cable suspended system using dynamic decoupling,” arXiv preprint arXiv:1707.00661 , 2017

Original

2017

Later among the works it cites.

K. S. Phogat, D. Chatterjee, and R. N. Banavar, “Discrete-time optimal attitude control of a spacecraft with momentum and control constraints.” Journal of Guidance, Control, and Dynamics , vol. 41, no. 1, pp. 199–211, 2018

2018

Closest in time.