ORDER REDUCTION OF Z-TRANSFER FUNCTIONS VIA MULTIPOINT JORDAN CONTINUED-FRACTION EXPANSION

被引:2
作者
LEE, YC [1 ]
HWANG, C [1 ]
SHIEH, LS [1 ]
机构
[1] UNIV HOUSTON,DEPT ELECT ENGN,HOUSTON,TX 77204
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1992年 / 329卷 / 03期
关键词
D O I
10.1016/0016-0032(92)90056-M
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The order reduction problem of z-transfer functions is solved by using the multipoint Jordan continued-fraction expansion (MJCFE) technique. An efficient algorithm that does not require the use of complex algebra is presented for obtaining an MJCFE from a stable z-transfer function with expansion points selected from the unit circle and/or the positive real axis of the z-plane. The reduced-order models are exactly the multipoint Pade approximants of the original system and, therefore, they match the (weighted) time-moments of the impulse response and preserve the frequency responses of the system at some characteristics frequencies, such as gain crossover frequency, phase crossover frequency, bandwidth, etc.
引用
收藏
页码:583 / 590
页数:8
相关论文
共 24 条
[21]   NEW FREQUENCY DOMAIN TECHNIQUE FOR SIMPLIFICATION OF LINEAR DYNAMIC-SYSTEMS [J].
RAO, SV ;
LAMBA, SS .
INTERNATIONAL JOURNAL OF CONTROL, 1974, 20 (01) :71-79
[22]   GENERALIZATION OF BESSELS APPROXIMATION AND ITS APPLICATION TO MODEL REDUCTION [J].
TSAY, YT ;
CHEN, CF ;
YATES, RE .
INTERNATIONAL JOURNAL OF ELECTRONICS, 1978, 45 (03) :321-331
[23]   MODEL-REDUCTION FOR DISCRETE-TIME-SYSTEMS [J].
UNNIKRISHNAN, R ;
GUPTA, A .
ELECTRONICS LETTERS, 1990, 26 (05) :282-284
[24]   A NOTE ON MODEL-REDUCTION OF DIGITAL-CONTROL SYSTEMS [J].
YANG, SM ;
LUUS, R .
INTERNATIONAL JOURNAL OF CONTROL, 1983, 37 (02) :437-439