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A PDE approach to the derivation of the Brayton-Moser form for power-shaping control

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Favache, Audrey [UCL] Dochain, Denis [UCL] Winkin, Joseph [FUNDP]

(eng) Power-shaping control is an extension of energy-balancing passivity-based control based on a particular form of the dynamics, the Brayton-Moser form. One of the main difficulties in this approach is to write the dynamics in the suitable form since it requires the solution of a partial differential equation (PDE) system with an additional sign constraint. Here a general methodology is described for solving this partial differential equation system. The set of all solutions to the PDE system is given as the solution of a linear equation system. A necessary condition is given so that a solution of the linear system which meets the sign condition exists. This methodology is illustrated on a chemical reactor example, where the physical knowledge of the system is used to find a suitable solution.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Access type Accès restreint
Publication date 2012
Language Anglais
Conference "2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)", Orlando, Florida, USA (du December 12, 2011 au December 15, 2011)
Journal information "IEEE Xplore digital library (IEEE/IET Electronic Library)"
Host document - 2782-2787 (ISBN : 978-1-61284-800-6)
Publisher IEEE (Piscataway)
Publication status Publié
Affiliations UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique
FUNDP - SMAT_Systèmes dynamiques
Links
Bibliographic reference Favache, Audrey ; Dochain, Denis ; Winkin, Joseph. A PDE approach to the derivation of the Brayton-Moser form for power-shaping control.2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) (Orlando, Florida, USA, du December 12, 2011 au December 15, 2011). In: IEEE Xplore digital library (IEEE/IET Electronic Library),
Permanent URL http://hdl.handle.net/2078.1/105591