Interval estimation for continuous-time switched linear systems

被引：77
|
作者：
Ethabet, Haifa [1 ]
Rabehi, Djahid [2 ]
Efimov, Denis [3 ]
Raissi, Tarek [4 ]
机构：
[1] Univ Gabes, Natl Engn Sch Gabes ENIG, Res Lab Modeling Anal & Control Syst MACS LR16ES2, Gabes 6029, Tunisia
[2] Univ Orleans, INSA Ctr Val Loire CVL, PRISME, EA 4229, Orleans, France
[3] INRIA, NonA Team, Parc Sci Haute Borne,40 Av Halley, F-59650 Villeneuve Dascq, France
[4] CNAM, Cedr Lab 292, Rue St Martin, F-75141 Paris 03, France
来源：
AUTOMATICA | 2018年 / 90卷
关键词：
Interval observer; Cooperative dynamics; Continuous-time switched systems; Stability; DISCRETE STATE ESTIMATION; AVERAGE DWELL TIME; OBSERVER DESIGN; LPV SYSTEMS; STABILITY;
D O I：
10.1016/j.automatica.2017.12.035
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the design of interval observers for switched linear systems (SLS), a class of hybrid systems. Under the assumption that the disturbances and the measurement noise are bounded, upper and lower bounds for the state are calculated. New conditions of cooperativity in discrete-time instants are firstly proposed. Then, some techniques for interval estimation are developed in continuous-time. It is shown that it is possible to calculate the observer gains making the estimation error dynamics cooperative and stable via some change of coordinates under arbitrary switching sequences. The performances of the developed techniques are illustrated through numerical examples. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：230 / 238
页数：9
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