A number of structural problems in linear multivariable control systems are considered
in this thesis.
The first concerns the detail of the infinite frequency structure of a rational matrix
carried in a matrix fraction description (MFD) and the question of how this may
be detected in an immediate way. It is shown that any non-prime MFD which is
just a column (resp. row) reduced MFD (CRMFD (resp. RRMFD)) readily displays
such information. Of particular interest are those CRMFDs (resp. RRMFDs) which
display the complete infinite frequency structure, as regards multiplicity and degree of
the infinite pole-zero structure. [Continues.]
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.
Engineering and Physical Sciences Research Council.