DocumentCode :
2549707
Title :
Identification and model reduction of 2-D systems via the extended impulse response Gramians
Author :
Xiao, Chengshan ; Sreeram, V. ; Liu, W.Q. ; Venetsanopoulos, A.N.
Author_Institution :
Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada
Volume :
6
fYear :
1997
fDate :
4-6 Jun 1997
Firstpage :
3567
Abstract :
The horizontal and vertical extended impulse response Gramians (EIRG) of causal recursive separable denominator (CRSD) 2-D digital systems are defined in this paper. Based on the 2-D EIRG, a new identification and model reduction algorithm is presented for 2-D CRSD systems. It is shown that the reduced-order system has three important properties. Firstly, the 2-D EIRG of the reduced-order 2-D system approximate the 2-D EIRG of the original 2-D system. Secondly, the 2-D system obtained is a suboptimal solution to the minimization of the energy of the 2-D error system between the original 2-D system and the reduced-order system. Finally, the structure of the reduced-order 2-D system is convergent to a balanced realization. Furthermore, the present algorithm can handle impulse response data of deterministic or stochastic nature for 2-D system identification
Keywords :
identification; multidimensional systems; reduced order systems; transient response; 2D error system; 2D system identification; 2D system model reduction; CRSD 2D digital systems; EIRG; causal recursive separable denominator 2D digital systems; energy minimization; horizontal extended impulse response Gramians; impulse response data; reduced-order 2D system; suboptimal solution; vertical extended impulse response Gramians; Australia Council; Continuous time systems; Digital signal processing; Digital systems; Finite impulse response filter; Laboratories; MIMO; Reduced order systems; Stochastic systems; System identification;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
ISSN :
0743-1619
Print_ISBN :
0-7803-3832-4
Type :
conf
DOI :
10.1109/ACC.1997.609486
Filename :
609486
Link To Document :
بازگشت