id: 06029017
dt: j
an: 06029017
au: Favache, A.; Dochain, D.; Winkin, J.J.
ti: Power-shaping control: writing the system dynamics into the Brayton-Moser
    form.
so: Syst. Control Lett. 60, No. 8, 618-624 (2011).
py: 2011
pu: Elsevier, Amsterdam
la: EN
cc: 
ut: power-shaping control; brayton; Moser; entropy production
ci: 
li: doi:10.1016/j.sysconle.2011.04.021
ab: Summary: 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.
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