A functional equation-based computational method for the discrete-time nonlinear observer

0545579 - ÚTIA 2022 RIV NL eng C - Conference Paper (international conference)
Rehák, Branislav - Lynnyk, Volodymyr
A functional equation-based computational method for the discrete-time nonlinear observer.
IFAC-PapersOnLine. Volume 54, Issue 14 - 3rd IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2021. Amsterdam: Elsevier, 2021, s. 120-125, č. článku 017. ISSN 2405-8963.
[IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2021 /3./. Tokyo (JP), 15.09.2021-17.09.2021]
R&D Projects: GA ČR(CZ) GA19-07635S
Institutional support: RVO:67985556
Keywords : Nonlinear discrete-time system * Nonlinear observer * Functional equation
OECD category: Automation and control systems
http://library.utia.cas.cz/separaty/2021/TR/rehak-0545579.pdf

To solve the discrete nonlinear observer problem, it is necessary to nd a solution of a certain functional equation. The existence conditions of this functional equation have already been well established, nevertheless, they are rather restrictive. Moreover, less attention was paid to the design of numerical methods to nd its solution. In this paper, the approximation of the solution using the nite di erence method is presented. From the theoretical point of view, this method has milder assumptions. The algorithm is thoroughly described and attention is paid to numerical aspects. The method is illustrated by an example.
Permanent Link: http://hdl.handle.net/11104/0322280