Linear periodically time-varying discrete-time systems: Aliasing and LTI approximations

被引:40
作者
Chen, TW [1 ]
Qiu, L [1 ]
机构
[1] HONG KONG UNIV SCI & TECHNOL,DEPT ELECT & ELECT ENGN,KOWLOON,HONG KONG
基金
加拿大自然科学与工程研究理事会;
关键词
periodic systems; multirate systems; optimization; aliasing; discrete-time systems;
D O I
10.1016/S0167-6911(97)00006-6
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Linear periodically time-varying (LPTV) systems are abundant in control and signal processing; examples include multirate sampled-data control systems and multirate filter-bank systems. Ln this paper, several ways are proposed to quantify aliasing effect in discrete-time LPTV systems; these are associated with optimal time-invariant approximations of LPTV systems using operator norms. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:225 / 235
页数:11
相关论文
共 14 条
[1]  
ARAKI M, 1993, 12TH P IFAC WORLD C, V7, P289
[2]  
ARAKI M, 1993, 12TH P IFAC WORLD C, V7, P293
[3]  
ARAMBEL PO, 1994, PROCEEDINGS OF THE 1994 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P1598
[4]   Design of multirate filter banks by H infinity optimization [J].
Chen, TW ;
Francis, BA .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (12) :2822-2830
[5]   H-INFINITY DESIGN OF GENERAL MULTIRATE SAMPLED-DATA CONTROL-SYSTEMS [J].
CHEN, TW ;
QIU, L .
AUTOMATICA, 1994, 30 (07) :1139-1152
[6]  
Glasson D. P., 1983, IEEE Control Systems Magazine, V3, P2, DOI 10.1109/MCS.1983.1104772
[7]   LINEAR PERIODIC CONTROL - A FREQUENCY-DOMAIN VIEWPOINT [J].
GOODWIN, GC ;
FEUER, A .
SYSTEMS & CONTROL LETTERS, 1992, 19 (05) :379-390
[8]   ROBUST-CONTROL OF LINEAR TIME-INVARIANT PLANTS USING PERIODIC COMPENSATION [J].
KHARGONEKAR, PP ;
POOLLA, K ;
TANNENBAUM, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (11) :1088-1096
[9]  
MIRABBASI S, 1996, P ISCAS, P193
[10]   LINEAR PERIODIC-SYSTEMS AND MULTIRATE FILTER DESIGN [J].
SHENOY, RG ;
BURNSIDE, D ;
PARKS, TW .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (09) :2242-2256