Geodesic
Finite element-based observer design for nonlinear systems with delayed measurements
Kybernetika, Tome 55 (2019) no. 6, pp. 1050-1069 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2019-6-1050
Classification : 65P99, 93C10
Keywords: nonlinear observer; delayed-output system; finite element method 
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     title = {Finite element-based observer design for nonlinear systems with delayed measurements},
     journal = {Kybernetika},
     pages = {1050--1069},
     year = {2019},
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Rehák, Branislav. Finite element-based observer design for nonlinear systems with delayed measurements. Kybernetika, Tome 55 (2019) no. 6, pp. 1050-1069. doi: 10.14736/kyb-2019-6-1050

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