Kybernetika 55 no. 6, 1050-1069, 2019

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

Branislav RehákDOI: 10.14736/kyb-2019-6-1050


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.


finite element method, nonlinear observer, delayed-output system


93C10, 65P99


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