TY - JOUR

T1 - Power-shaping control

T2 - Writing the system dynamics into the Brayton-Moser form

AU - Favache, A.

AU - Dochain, D.

AU - Winkin, J.J.

PY - 2011/8/1

Y1 - 2011/8/1

N2 - Power-shaping control is an extension of energy-balancing passivity-based control that is based on a particular form of the dynamics, the Brayton-Moser form. One of the main difficulties in this control approach is to write the dynamics in the suitable form since this 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. Furthermore a necessary condition is given so that a solution of the linear system which meets the sign condition exists. This methodology is illustrated on the case of a chemical reactor, where the physical knowledge of the system is used to find a suitable solution.

AB - Power-shaping control is an extension of energy-balancing passivity-based control that is based on a particular form of the dynamics, the Brayton-Moser form. One of the main difficulties in this control approach is to write the dynamics in the suitable form since this 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. Furthermore a necessary condition is given so that a solution of the linear system which meets the sign condition exists. This methodology is illustrated on the case of a chemical reactor, where the physical knowledge of the system is used to find a suitable solution.

UR - http://www.scopus.com/inward/record.url?scp=79959728630&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2011.04.021

DO - 10.1016/j.sysconle.2011.04.021

M3 - Article

AN - SCOPUS:79959728630

SN - 0167-6911

VL - 60

SP - 618

EP - 624

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 8

ER -