Ga. Brusher et al., COUPLING BETWEEN THE MODELING AND CONTROLLER-DESIGN PROBLEMS .1. ANALYSIS, Journal of dynamic systems, measurement, and control, 119(3), 1997, pp. 498-502
Controller-design issues influence modeling decisions; therefore, the
modeling and controller-design problems are coupled. Part I of this th
is paper proposes a quantification of this coupling in terms of the si
ze of the set of models from which satisfactory controllers may be der
ived. Moreover, in the context of an extremely general frame work, we
prove that the coupling increases us performance specifications are ti
ghtened and as uncertainty is increased. Further more, the existence o
f a preferred model for controller design is demonstrated; this model
is preferred in rite sense that its nse leads to improved robustness o
r performance. However, this model does not necessarily satisfy our in
tuitive notion of a worst-case model; rather; it depends on the perfor
mance specifications and uncertainty. The analysis of coupling present
ed here in motivates the design approach formulated in the companion p
aper, Part II.