Interval Observers for Time-Varying Discrete-Time Systems

被引:157
作者
Efimov, Denis [1 ]
Perruquetti, Wilfrid [1 ]
Raissi, Tarek [2 ]
Zolghadri, Ali [3 ]
机构
[1] INRIA LNE, F-59650 Villeneuve Dascq, France
[2] Conservatoire Natl Arts & Metiers, F-75141 Paris, France
[3] Univ Bordeaux, IMS Lab, Automat Control Grp, F-33405 Talence, France
关键词
Discrete-time systems; observers; state estimation; STATE ESTIMATION; LPV SYSTEMS; NONLINEAR-SYSTEMS; UNCERTAINTY; PARAMETERS; MATRICES;
D O I
10.1109/TAC.2013.2263936
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 techical note deals with interval state observer design for time-varying discrete-time systems. The problem of a similarity transformation computation which connects a (time-varying) matrix and its nonnegative representation is studied. Three solutions are proposed: for a generic time-varying system, a system with positive state, and for a particular class of periodical systems. Numerical simulations are provided to demonstrate advantages of the developed techniques.
引用
收藏
页码:3218 / 3224
页数:7
相关论文
共 34 条
[1]   Guaranteed state estimation by zonotopes [J].
Alamo, T ;
Bravo, JM ;
Camacho, EF .
AUTOMATICA, 2005, 41 (06) :1035-1043
[2]   ALGORITHM - SOLUTION OF MATRIX EQUATION AX+XB = C [J].
BARTELS, RH ;
STEWART, GW .
COMMUNICATIONS OF THE ACM, 1972, 15 (09) :820-&
[3]  
Berman A., 1994, CLASSICS APPL MATH, DOI DOI 10.1137/1.9781611971262
[4]   Closed loop observers bundle for uncertain biotechnological models [J].
Bernard, O ;
Gouzé, JL .
JOURNAL OF PROCESS CONTROL, 2004, 14 (07) :765-774
[5]  
Besancon G, 2007, LECT NOTES CONTR INF, V363, P1
[6]  
Bittanti S, 2009, COMMUN CONTROL ENG, P1
[7]   Recursive state bounding by parallelotopes [J].
Chisci, L ;
Garulli, A ;
Zappa, G .
AUTOMATICA, 1996, 32 (07) :1049-1055
[8]  
Efimov D., 2010, IEEE SYSTOL 2010 NIC
[9]  
Efimov D., 2013, ECC 2013 C
[10]   Control of Nonlinear and LPV Systems: Interval Observer-Based Framework [J].
Efimov, Denis ;
Raissi, Tarek ;
Zolghadri, Ali .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (03) :773-778