Distributed and backstepping boundary controls to achieve IDA-PBC design | Zendy

Ngoc Minh Trang Vu | Zendy; Laurent Lefèvre | Zendy; Rémy Nouailletas | Zendy

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Distributed and backstepping boundary controls to achieve IDA-PBC design

Author(s) -

Ngoc Minh Trang Vu,

Laurent Lefèvre,

Rémy Nouailletas

Publication year - 2015

Publication title -

ifac-papersonline

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.308

H-Index - 72

eISSN - 2405-8971

pISSN - 2405-8963

DOI - 10.1016/j.ifacol.2015.05.034

Subject(s) - backstepping , control theory (sociology) , boundary (topology) , resistive touchscreen , hamiltonian (control theory) , mathematics , distributed parameter system , hamiltonian system , diffusion equation , computer science , mathematical analysis , partial differential equation , control (management) , mathematical optimization , engineering , adaptive control , artificial intelligence , computer vision , metric (unit) , operations management

An IDA-PBC-like control synthesis for infinite dimensional port Hamiltonian systems is investigated. As for the finite dimensional case, a feedback control transforms the original model into a closed loop target Hamiltonian model. Both distributed control and boundary control are used. The finite rank distributed control is determined to solve an average IDA-PBC matching equation. A backstepping boundary control is used to stabilize the matching error. The control model chosen to illustrate the approach is the so-called resistive diffusion equation for the radial diffusion of the poloidal magnetic flux.

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