Performance limitations in the robust servomechanism problem for discrete time periodic systems

被引：9
作者：
Ben Jemaa, L [1 ]
Davison, EJ [1 ]
机构：
[1] Univ Toronto, Dept Elect & Comp Engn, Syst Control Grp, Toronto, ON M5S 1A4, Canada
来源：
AUTOMATICA | 2003年 / 39卷 / 06期
关键词：
discrete periodic systems; proper systems; cheap control problem; optimal control; performance limitations; servomechanism problem; non-minimum phase; lifting technique;
D O I：
10.1016/S0005-1098(03)00063-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Fundamental limitations for error tracking/regulation are obtained for the robust servomechanism problem (RSP) for discrete time periodic systems. In studying this problem, the RSP for a multi-input/multi-output discrete time system is considered; application of these results is then made to the "periodic system robust servomechanism problem", and explicit expressions for the limiting costs for error tracking regulation are obtained. These limitations can be characterized completely by the number and location of the non-minimum phase transmission zeros of the system's associated lifted system, together with a term which depends on the order of the system, the number of inputs, the number of transmission zeros and the system's period. (C) 2003 Elsevier Science Ltd. All rights reserved.
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收藏
页码：1053 / 1059
页数：7
相关论文
共 29 条
[1]  
Ben Jemaa L., 1999, Proceedings of the 14th World Congress. International Federation of Automatic Control, P37
[2]  
BENJEMAA L, 1996, P 4 IEEE MED S NEW D, P298
[3]  
BENJEMAA L, 2002, IN PRESS IEEE T AUTO
[4]   Invariant representations of discrete-time periodic systems [J].
Bittanti, S ;
Colaneri, P .
AUTOMATICA, 2000, 36 (12) :1777-1793
[5]   THE DIFFERENCE PERIODIC RICCATI EQUATION FOR THE PERIODIC PREDICTION-PROBLEM [J].
BITTANTI, S ;
COLANERI, P ;
DENICOLAO, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (08) :706-712
[6]   AN ALGEBRAIC RICCATI EQUATION FOR THE DISCRETE-TIME PERIODIC PREDICTION-PROBLEM [J].
BITTANTI, S ;
COLANERI, P ;
DENICOLAO, G .
SYSTEMS & CONTROL LETTERS, 1990, 14 (01) :71-78
[7]   ZEROS OF DISCRETE-TIME LINEAR PERIODIC-SYSTEMS [J].
BOLZERN, P ;
COLANERI, P ;
SCATTOLINI, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (11) :1057-1058
[8]  
CARLOS E, 1991, IEEE T AUTOMATIC CON, V36, P333
[9]   OUTPUT STABILIZATION VIA POLE PLACEMENT OF DISCRETE-TIME LINEAR PERIODIC-SYSTEMS [J].
COLANERI, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (06) :739-742
[10]   LQG OPTIMAL-CONTROL OF MULTIRATE SAMPLED-DATA SYSTEMS [J].
COLANERI, P ;
SCATTOLINI, R ;
SCHIAVONI, N .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (05) :675-682
123