On feedback invariants of controlled conservative contact systems

Authors

Hector Ramirez Estay, Bernhard Maschke, Daniel Sbarbaro

Abstract

Conservative contact systems are defined with respect to an invariant Legendre submanifold and permit to endow thermodynamic systems with a geometric structure. Structure preserving feedback of controlled conservative contact systems involves to determine the existence of closed-loop invariant Legendre submanifolds. General results characterizing these submanifolds are presented. For contact systems arising from the modelling of thermodynamic processes by using pseudo port-controlled Hamiltonian formulation a series of particular results, that permits to constructively design the invariant submanifold and relate them with the stability of the system, are presented. Furthermore, the closed-loop system may again be restricted to some invariant Legendre submanifold and the control reduced to a state-feedback control. A heat transmission example is used to illustrate the approach.

Citation

• Journal: 2011 9th IEEE International Conference on Control and Automation (ICCA)
• Year: 2011
• Volume:
• Issue:
• Pages: 495–500
• Publisher: IEEE
• DOI: 10.1109/icca.2011.6137986

BibTeX

@inproceedings{Ramirez_Estay_2011,
  title={{On feedback invariants of controlled conservative contact systems}},
  DOI={10.1109/icca.2011.6137986},
  booktitle={{2011 9th IEEE International Conference on Control and Automation (ICCA)}},
  publisher={IEEE},
  author={Ramirez Estay, Hector and Maschke, Bernhard and Sbarbaro, Daniel},
  year={2011},
  pages={495--500}
}

Download the bib file

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