Constrained quasi-continuous representations of multivariable discrete systems
J. A. GIBSON, M. A. Hamilton-Jenkins · International Journal of Systems Science · 1983
First order Padé-based quasi-continuous modelling of discrete systems represents distortion of the continuous system from its discretization simply in terms of unconstrained perturbations of the system parameter matrices and a time delay. Expressing the distortion in constrained form exclusively in terms of a prescribed variable parameter/link set follows similarly by eigenvalue and transfer function matching, but generally results in transfer functions forms for the control distribution perturbation. Polynomial reduction techniques ease such complexity but with some loss of accuracy of the quasi-continuous representation. Representations of constrained systems with ‘ singular structure ’, in which eigenvector directions are invariant under perturbation, reduce to simple unconstrained forms.