Robust port-Hamiltonian representations of passive systems

Beattie, Christopher A.;Mehrmann, Volker;Van Dooren, Paul
(2019) Automatica — Vol. 100, p. 182-186 (2019)

Files

1-s20-S0005109818305454-main.pdf
  • Restricted Access
  • Adobe PDF
  • 547.82 KB
Request a copy

Details

Authors
  • Beattie, Christopher A.Department of Mathematics, Virginia Tech, Blacksburg,USA
    Author
  • Mehrmann, VolkerInstitut für Mathematik MA 4-5, TU Berlin, D-10623, Berlin, FRG
    Author
  • Van Dooren, PaulUCLouvain
    Author
Abstract
We discuss robust representations of stable, passive systems in particular coordinate systems, focussing especially on port-Hamiltonian representations. Such representations are typically not unique and the degrees of freedom associated with nonuniqueness are related to the solution set of the Kalman–Yakubovich–Popov linear matrix inequality (LMI). In this paper we analyze robustness measures for different possible port-Hamiltonian representations and relate it to quality functions defined in terms of eigenvalues of the matrix solution of the LMI. In particular, we look at the analytic center of this LMI. Within this framework, we derive inequalities for the passivity radius of the given model representation.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Beattie, C. A., Mehrmann, V., & Van Dooren, P. (2019). Robust port-Hamiltonian representations of passive systems. Automatica, 100, 182-186. https://doi.org/10.1016/j.automatica.2018.11.013 (Original work published 2019)