Nonlinear discrete-time systems with delayed control: A reduction

被引:13
作者
Mattioni, Mattia [1 ,2 ]
Monaco, Salvatore [1 ]
Normand-Cyrot, Dorothee [2 ]
机构
[1] Univ Roma La Sapienza, Dipartimento Ingn Informat Automat & Gest A Ruber, Via Ariosto 25, I-00185 Rome, Italy
[2] CNRS, Lab Signaux & Syst L2S, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France
关键词
Discrete-time systems; Nonlinear systems; Time-delay systems; SAMPLED-DATA STABILIZATION; IMMERSION; DYNAMICS;
D O I
10.1016/j.sysconle.2018.02.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this work, the notion of reduction is introduced for discrete-time nonlinear input-delayed systems. The retarded dynamics is reduced to a new system which is free of delays and equivalent (in terms of stabilizability) to the original one. Different stabilizing strategies are proposed over the reduced model. Connections with existing predictor-based methods are discussed. The methodology is also worked out over particular classes of time-delay systems as sampled-data dynamics affected by an entire input delay. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:31 / 37
页数:7
相关论文
共 24 条
[1]   LINEAR-SYSTEMS WITH DELAYED CONTROLS - A REDUCTION [J].
ARTSTEIN, Z .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) :869-879
[2]  
Califano C, 2016, IEEE DECIS CONTR P, P555, DOI 10.1109/CDC.2016.7798327
[3]   On the problem of feedback linearization [J].
Califano, C ;
Monaco, S ;
Normand-Cyrot, D .
SYSTEMS & CONTROL LETTERS, 1999, 36 (01) :61-67
[4]   A LIE-THEORETIC APPROACH TO NON-LINEAR DISCRETE-TIME CONTROLLABILITY VIA RITTS FORMAL DIFFERENTIAL GROUPS [J].
FLIESS, M ;
NORMANDCYROT, D .
SYSTEMS & CONTROL LETTERS, 1981, 1 (03) :179-183
[5]  
Fridman E, 2014, SYSTEMS CONTROL FDN
[6]  
Karafyllis I., 2016, ADV DELAYS DYNAMICS, V4
[7]  
Karafyllis I, 2017, SYST CONTROL-FOUND A, P251, DOI 10.1007/978-3-319-42378-4_8
[8]   Numerical schemes for nonlinear predictor feedback [J].
Karafyllis, Iasson ;
Krstic, Miroslav .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2014, 26 (04) :519-546
[9]  
Krstic M, 2009, SYST CONTROL-FOUND A, P1, DOI 10.1007/978-0-8176-4877-0
[10]  
Laraba MT, 2016, IEEE DECIS CONTR P, P567, DOI 10.1109/CDC.2016.7798329