FINITE ELEMENT-BASED OBSERVER DESIGN FOR NONLINEAR SYSTEMS WITH DELAYED MEASUREMENTS

被引:6
作者
Rehak, Branislav [1 ]
机构
[1] Czech Acad Sci, Inst Informat Theory & Automat, Pod Vochirenskou Vezi 4, Prague 18208 8, Czech Republic
关键词
nonlinear observer; delayed-output system; finite element method; REGULATOR EQUATION;
D O I
10.14736/kyb-2019-6-1050
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a computational procedure for the design of an observer of a nonlinear system. Outputs can be delayed, however, this delay must be known and constant. The characteristic feature of the design procedure is computation of a solution of a partial differential equation. This equation is solved using the finite element method. Conditions under which existence of a solution is guaranteed are derived. These are formulated by means of theory of partial differential equations in L-2-space. Three examples demonstrate viability of this approach and provide a comparison with the solution method based on expansions into Taylor polynomials.
引用
收藏
页码:1050 / 1069
页数:20
相关论文
共 24 条
[1]  
Birkhoff G., 2017, SURVEY MODERN ALGEBR, DOI DOI 10.1201/9781315275499
[2]   Luenberger-Like Observers for Nonlinear Time-Delay Systems with Application to the Artificial Pancreas THE ATTAINMENT OF GOOD PERFORMANCE [J].
Borri, Alessandro ;
Cacace, Filippo ;
De Gaetano, Andrea ;
Germani, Alfredo ;
Manes, Costanzo ;
Palumbo, Pasquale ;
Panunzi, Simona ;
Pepe, Pierdomenico .
IEEE CONTROL SYSTEMS MAGAZINE, 2017, 37 (04) :33-49
[3]   An observer for a class of nonlinear systems with time varying observation delay [J].
Cacace, F. ;
Germani, A. ;
Manes, C. .
SYSTEMS & CONTROL LETTERS, 2010, 59 (05) :305-312
[4]   A CHAIN OBSERVER FOR NONLINEAR SYSTEMS WITH MULTIPLE TIME-VARYING MEASUREMENT DELAYS [J].
Cacace, Filippo ;
Germani, Alfredo ;
Manes, Costanzo .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (03) :1862-1885
[5]  
Celikovsky S., 2004, IFAC P, V37, P651, DOI [10.1016/s1474-6670(17)30544-x, DOI 10.1016/S1474-6670(17)30544-X]
[6]   ADAPTIVE HIGH GAIN OBSERVER EXTENSION AND ITS APPLICATION TO BIOPROCESS MONITORING [J].
Celikovsky, Sergej ;
Antonio Torres-Munoz, Jorge ;
Rosa Dominguez-Bocanegra, Alma .
KYBERNETIKA, 2018, 54 (01) :155-174
[7]   Cascade observer design for a class of uncertain nonlinear systems with delayed outputs [J].
Farza, Mondher ;
Hernandez-Gonzalez, Omar ;
Menard, Tomas ;
Targui, Boubekeur ;
M'Saad, Mohammed ;
Astorga-Zaragoza, Carlos-Manuel .
AUTOMATICA, 2018, 89 :125-134
[8]   A new approach to state observation of nonlinear systems with delayed output [J].
Germani, A ;
Manes, C ;
Pepe, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (01) :96-101
[9]   Nonlinear observer design using Lyapunov's auxiliary theorem [J].
Kazantzis, N ;
Kravaris, C .
SYSTEMS & CONTROL LETTERS, 1998, 34 (05) :241-247
[10]   Nonlinear observer design in the presence of delayed output measurements [J].
Kazantzis, N ;
Wright, RA .
SYSTEMS & CONTROL LETTERS, 2005, 54 (09) :877-886