id: 00994645
dt: j
an: 00994645
au: Cevik, M.K.K.; Schumacher, J.M.
ti: Regulation as an interpolation problem.
so: Linear Algebra Appl. 253, 311-340 (1997).
py: 1997
pu: Elsevier Science Inc. (North-Holland), New York, NY
la: EN
cc: 
ut: multivariable linear regulator problem; interpolation problem;
    Kučera-Youla parametrization; internal model principle
ci: 
li: doi:10.1016/0024-3795(95)00739-3
ab: A multivariable constant linear regulator problem is considered as an
    interpolation problem for a function which is a multi-variable version
    of the Nyquist curve. The authors’ result is applied to obtain a
    simple parametrization of all solutions. The parametrization is some
    specialization of the Kučera-Youla parametrization of all stabilizing
    compensators, which can be represented as $C_0-P(s)Q(s)$ where $Q(s)$
    is free, constrained in the case when the compensator $C_0(s)$ is a
    regulator, i.e. it satisfies both the internal stability requirement
    and the regulation requirement. The authors’ result can be seen as an
    instance of the internal model principle of Wonham-Francis.
rv: A.Vaněček (Praha)