Finite element-based observer design for nonlinear systems with delayed measurements

Rehák, Branislav

Kybernetika, Tome 55 (2019) no. 6, pp. 1050-1069

Abstract (VO)

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.

Détail

DOI : 10.14736/kyb-2019-6-1050

Classification : 65P99, 93C10
Keywords: nonlinear observer; delayed-output system; finite element method

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