Title :
A constructive procedure for multidimensional realization and LFR uncertainty modelling
Author :
Xu, Li ; Fan, Huijin ; Lin, Zhiping ; Xiao, Yegui ; Anazawa, Yoshihisa
Author_Institution :
Dept. of Electron. & Inf. Syst., Akita Prefectural Univ., Japan
Abstract :
A constructive procedure is proposed for multidimensional (nD) realization and linear fractional representation uncertainty modelling. The new realization procedure works on an nD rational matrix directly without transforming it to some nD polynomial matrices first. It is computationally more efficient and may lead to a lower order realization than existing algorithms. Furthermore, the new method is applicable to nD systems with either numerical or symbolic coefficients. Illustrative examples are presented to show the effectiveness and advantages of the proposed procedure.
Keywords :
multidimensional systems; reduced order systems; robust control; transfer function matrices; uncertain systems; LFR uncertainty modelling; linear fractional representation; lower order realization; multidimensional realization constructive procedure; nD rational matrix; nD system theory; numerical coefficients; robust control theory; symbolic coefficients; transfer matrix; uncertain system robustness analysis; Engineering management; Information management; Management information systems; Matrix decomposition; Multidimensional systems; Polynomials; Robustness; Technology management; Uncertain systems; Uncertainty;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465019
