Energy-based feedback control for stochastic port-controlled Hamiltonian systems

Authors

Wassim M. Haddad, Tanmay Rajpurohit, Xu Jin

Abstract

In this paper, we develop an energy-based static and dynamic control framework for stochastic port-controlled Hamiltonian systems. In particular, we obtain constructive sufficient conditions for stochastic feedback stabilization that provide a shaped energy function for the closed-loop system while preserving a Hamiltonian structure at the closed-loop level. In the dynamic control case, energy shaping is achieved by combining the physical energy of the plant and the emulated energy of the controller. Several numerical examples are presented that demonstrate the efficacy of the proposed passivity-based stochastic control framework.

Keywords

Port-controlled Hamiltonian systems; Stochastic dynamical systems; Energy functions; Energy-based control; Stochastic stability

Citation

• Journal: Automatica
• Year: 2018
• Volume: 97
• Issue:
• Pages: 134–142
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2018.07.031

BibTeX

@article{Haddad_2018,
  title={{Energy-based feedback control for stochastic port-controlled Hamiltonian systems}},
  volume={97},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2018.07.031},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Haddad, Wassim M. and Rajpurohit, Tanmay and Jin, Xu},
  year={2018},
  pages={134--142}
}

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