Speaker
Punit Sharma
(Indian Institute of Technology Delhi, India)
Description
We consider linear time-invariant continuous control systems that are bounded real, also known as scattering passive. Our main theoretical contribution is to show the equivalence between such systems and port-Hamiltonian (PH) systems whose factors satisfy certain linear matrix inequalities. Based on this result, we propose a formulation for the problem of finding the nearest bounded real system to a given system and design an algorithm combining alternating optimization and Nesterov's fast gradient method. This formulation also allows us to check whether a given system is bounded real by solving a semidefinite program and provide a PH parametrization for it. We illustrate our proposed algorithms on real and synthetic data sets.
Authors
Mr
Karim Cherifi
(Bergische Universität Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany)
Dr
Nicolas Gillis
(University of Mons, Belgium)
Punit Sharma
(Indian Institute of Technology Delhi, India)
