Ellipsoidal set-membership state estimation for descriptor systems

被引：0

作者：

Merhy, Dory ^{[1
]}

Stoica Maniu, Cristina ^{[1
]}

Alamo, Teodoro ^{[2
]}

Camacho, Eduardo F. ^{[2
]}

机构：

[1] Univ Paris Saclay, Univ Paris Sud, Cent Supelec, Lab Signaux & Syst L2S,CNRS, F-91192 Gif Sur Yvette, France

[2] Univ Seville, Dept Ingn Sistemas & Automat, Seville 41092, Spain

来源：

2019 23RD INTERNATIONAL CONFERENCE ON SYSTEM THEORY, CONTROL AND COMPUTING (ICSTCC) | 2019年

基金：

欧盟地平线“2020”;

关键词：

descriptor systems; set-membership state estimation; KALMAN FILTER; OBSERVER DESIGN; FAULT-DETECTION; DISCRETE; CONTROLLABILITY; OBSERVABILITY; ZONOTOPES; STABILITY;

D O I：

10.1109/icstcc.2019.8885851

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 presents an ellipsoidal set-membership state estimation technique for discrete-time linear time-invariant descriptor systems with bounded perturbations and noises. The approach proceeds off-line by minimizing a parameter with respect to a linear matrix inequality (LMI). The system state of the considered descriptor system is guaranteed to belong to an ellipsoidal set at each time instant. Finally, the proposed technique is analyzed via an illustrative example.

引用

页码：1 / 6

页数：6

共 47 条

[1] Guaranteed state estimation by zonotopes [J].

Alamo, T ;

Bravo, JM ;

Camacho, EF .

AUTOMATICA, 2005, 41 (06) :1035-1043

[2]

Ben Chabane S, 2014, 2014 EUROPEAN CONTROL CONFERENCE (ECC), P993, DOI 10.1109/ECC.2014.6862412

[3]

BENCHABANE S, 2014, IFAC PAPERSONLINE, V47, P6533

[4] THE LINEAR-QUADRATIC OPTIMAL REGULATOR FOR DESCRIPTOR SYSTEMS [J].

BENDER, DJ ;

LAUB, AJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (08) :672-688

[5] RECURSIVE STATE ESTIMATION FOR A SET-MEMBERSHIP DESCRIPTION OF UNCERTAINTY [J].

BERTSEKAS, DP ;

RHODES, IB .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (02) :117-+

[6]

Biegler L. T., 2012, CONTROL OPTIMIZA TIO

[7]

Boyd S., 1994, SIAM studies in applied mathematics

[8] DUALITY, OBSERVABILITY, AND CONTROLLABILITY FOR LINEAR TIME-VARYING DESCRIPTOR SYSTEMS [J].

CAMPBELL, SL ;

NICHOLS, NK ;

TERRELL, WJ .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1991, 10 (04) :455-470

[9]

Combastel C., 2015, IFAC - Papers Online, V48, P289, DOI 10.1016/j.ifacol.2015.09.542

[10] Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence [J].

Combastel, Christophe .

AUTOMATICA, 2015, 55 :265-273

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