Finite-Frequency Model Reduction of Two-Dimensional Digital Filters

被引：54
作者：
Ding, Da-Wei [1 ]
Du, Xin [2 ]
Li, Xiaoli [1 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
[2] Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200072, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 06期
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Finite frequency; FM LSS model; model reduction; 2-D systems; 2-D DISCRETE-SYSTEMS; BALANCED TRUNCATION; LINEAR-SYSTEMS; APPROXIMATIONS; DESIGN; LEMMA;
D O I：
10.1109/TAC.2014.2359305
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note is concerned with the model reduction problem of two-dimensional (2-D) digital filters over finite-frequency ranges. The 2-D digital filter is described by the Fornasini-Marchesini local state-space (FM LSS) model. With the aid of the generalized Kalman-Yakubovich-Popov (GKYP) lemma for 2-D systems, sufficient conditions for the finite-frequency model reduction problem are derived. Compared with full-frequency methods, the proposed finite-frequency method can get a better approximation performance over finite-frequency ranges. An example is given to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：1624 / 1629
页数：6
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