Title :
Structural insights in constructive procedures for multidimensional realization and LFR uncertainty modeling
Author_Institution :
Dept. of Electron. & Inf. Syst., Akita Prefectural Univ., Akita
Abstract :
In this work, we review some new developments accomplished by the author and co-workers very recently for multidimensional (nD) realization and LFR uncertainty modeling. In particular, we shall show some substantial structural insights to this difficult problem that have not been clarified previously and new constructive procedures that can generate a low-order, possibly minimal Roesser model realization for a rational or polynomial nD transfer matrix with numerical or/and symbolic coefficients. It will also be demonstrated by non-trivial examples that the proposed procedures are much more effective than the existing ones.
Keywords :
control system synthesis; linear systems; multidimensional systems; polynomial matrices; realisation theory; robust control; uncertain systems; LFR uncertainty modeling; Roesser model; constructive procedure; control system synthesis; linear fractional representation; multidimensional realization; polynomial nD transfer matrix; robust control; Control system synthesis; Information systems; MIMO; Matrix decomposition; Multidimensional systems; Polynomials; Robust control; Robustness; Uncertain systems; Uncertainty; LFR uncertainty modeling; Multidimensional realization; Robust control; Roesser model;
Conference_Titel :
SICE Annual Conference, 2008
Conference_Location :
Tokyo
Print_ISBN :
978-4-907764-30-2
Electronic_ISBN :
978-4-907764-29-6
DOI :
10.1109/SICE.2008.4655158