Full Characterization of Act-and-wait Control for First-order Unstable Lag Processes

被引:20
作者
Insperger, T. [1 ]
Wahi, P. [2 ]
Colombo, A. [3 ]
Stepan, G. [1 ]
Di Bernardo, M. [4 ]
Hogan, S. J. [4 ]
机构
[1] Budapest Univ Technol & Econ, Dept Appl Mech, H-1521 Budapest, Hungary
[2] Indian Inst Technol Kanpur, Dept Mech Engn, Kanpur 208016, Uttar Pradesh, India
[3] Politecn Milan, Dipartimento Elettron & Informaz, I-20133 Milan, Italy
[4] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England
基金
美国国家科学基金会;
关键词
Deadbeat; feedback delay; periodic control; stability; DELAY-DIFFERENTIAL EQUATIONS; MEMORYLESS OUTPUT-FEEDBACK; STABILITY ANALYSIS; CONTROL-SYSTEMS; TIME-SYSTEMS; STABILIZATION; NULLIFICATION; CHATTER;
D O I
10.1177/1077546309341135
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Act-and-wait control is a special case of time-periodic control for systems with feedback delay, where the control gains are periodically switched on and off in order to stabilize otherwise unstable systems. The stability of feedback systems in the presence of time delay is a challenging problem. In this paper, we show that the act-and-wait type time-periodic control can always provide deadbeat control for first-order unstable lag processes with any (large but) fixed value of the time delay in the feedback loop. A full characterization of this act-and-wait controller with respect to the system and control parameters is given based on performance and robustness against disturbances.
引用
收藏
页码:1209 / 1233
页数:25
相关论文
共 42 条
[1]   POLE ASSIGNMENT FOR LINEAR TIME-INVARIANT SYSTEMS BY PERIODIC MEMORYLESS OUTPUT-FEEDBACK [J].
AEYELS, D ;
WILLEMS, JL .
AUTOMATICA, 1992, 28 (06) :1159-1168
[2]   A note on asymptotic stabilization of linear systems by periodic,piecewise constant, output feedback [J].
Allwright, JC ;
Astolfi, A ;
Wong, HP .
AUTOMATICA, 2005, 41 (02) :339-344
[3]  
[Anonymous], 1977, LECT NOTES BIOMATHEM
[4]   State nullification by memoryless output feedback [J].
Artstein, Z ;
Weiss, G .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2005, 17 (01) :38-56
[5]   Analysis of a system of linear delay differential equations [J].
Asl, FM ;
Ulsoy, AG .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2003, 125 (02) :215-223
[6]   STABILITY CRITERIA FOR SECOND-ORDER DYNAMICAL SYSTEMS WITH TIME LAG [J].
BHATT, SJ ;
HSU, CS .
JOURNAL OF APPLIED MECHANICS, 1966, 33 (01) :113-&
[7]   The Brockett stabilization problem [J].
Boikov, IV .
AUTOMATION AND REMOTE CONTROL, 2005, 66 (05) :746-751
[8]   Computing the characteristic roots for delay differential equations [J].
Breda, D ;
Maset, S ;
Vermiglio, R .
IMA JOURNAL OF NUMERICAL ANALYSIS, 2004, 24 (01) :1-19
[9]  
Brockett R., OPEN PROBLEMS MATH S, P75
[10]   Analytical prediction of chatter stability in milling - Part 1: General formulation [J].
Budak, E ;
Altintas, Y .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1998, 120 (01) :22-30