Interval Switched Positive Observers for Continuous-Time Switched Positive Systems under Arbitrary Switching

被引：8
作者：
Otsuka, Naohisa [1 ]
Kakehi, Daiki [2 ]
机构：
[1] Tokyo Denki Univ, Sch Sci & Engn, Div Sci, Hatoyama, Saitama 3500394, Japan
[2] Tokyo Denki Univ, Grad Sch Sci & Engn, Hatoyama, Saitama 3500394, Japan
来源：
IFAC PAPERSONLINE | 2019年 / 52卷 / 11期
关键词：
Linear systems; Switching theory; Observers; Reduced-order models; Estimation theory;
D O I：
10.1016/j.ifacol.2019.09.149
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 paper, we study the interval switched positive observer designs for switched positive linear systems under arbitrary switching. Firstly, the conditions for interval full-order switched positive observers for continuous-time switched positive linear systems to exist are studied. After that the conditions for interval reduced-order switched positive observers for switched positive linear systems with the same output matrix to exist are also studied. Finally, two illustrative numerical examples on interval full-order and reduced-order switched positive observers are shown. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved
引用
收藏
页码：250 / 255
页数：6
相关论文
共 19 条
  • [1] Positive observers for linear positive systems, and their implications
    Ait Rami, Mustapha
    Tadeo, Fernando
    Helmke, Uwe
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (04) : 716 - 725
  • [2] Alessandri A, 2001, P AMER CONTR CONF, P2516, DOI 10.1109/ACC.2001.946132
  • [3] Back J., 2006, PROC SICE ICASE INT, P5242
  • [4] Blanchini F., 2012, IEEE T AUTOMATIC CON, V57
  • [5] Blanchini F., 2015, FDN TRENDS SYSTEMS C, V2
  • [6] Chen WT, 2004, P AMER CONTR CONF, P5796
  • [7] Dautrebande N., 1999, 1999 European Control Conference (ECC). Proceedings, P1092
  • [8] Stability properties of equilibria of classes of cooperative systems
    De Leenheer, P
    Aeyels, D
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) : 1996 - 2001
  • [9] Interval estimation for continuous-time switched linear systems
    Ethabet, Haifa
    Rabehi, Djahid
    Efimov, Denis
    Raissi, Tarek
    [J]. AUTOMATICA, 2018, 90 : 230 - 238
  • [10] Farina L., 2011, PUR AP M-WI
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