Energy dissipating hybrid control for impulsive dynamical systems

Authors

Abstract

A novel class of fixed-order, energy-based hybrid controllers is proposed as a means for achieving enhanced energy dissipation in nonsmooth Euler–Lagrange, hybrid port-controlled Hamiltonian, and lossless impulsive dynamical systems. These dynamic controllers combine a logical switching architecture with hybrid dynamics to guarantee that the system plant energy is strictly decreasing across switchings. The general framework leads to hybrid closed-loop systems described by impulsive differential equations. Special cases of energy-based hybrid controllers involving state-dependent switching are described, and an illustrative numerical example is given to demonstrate the efficacy of the proposed approach.

Keywords

dynamic compensation, hybrid control, hybrid systems, impulsive dynamical systems, lossless systems, nonsmooth euler–lagrange systems

Citation

Journal: Nonlinear Analysis: Theory, Methods & Applications
Year: 2008
Volume: 69
Issue: 10
Pages: 3232–3248
Publisher: Elsevier BV
DOI: 10.1016/j.na.2005.10.052

BibTeX

@article{Haddad_2008,
  title={{Energy dissipating hybrid control for impulsive dynamical systems}},
  volume={69},
  ISSN={0362-546X},
  DOI={10.1016/j.na.2005.10.052},
  number={10},
  journal={Nonlinear Analysis: Theory, Methods &amp; Applications},
  publisher={Elsevier BV},
  author={Haddad, Wassim M. and Hui, Qing},
  year={2008},
  pages={3232--3248}
}

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References

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