Bibliographic Details
| Title: |
Classical observer form for discrete-time nonlinear system: MIMO case. |
| Alternate Title: |
Mitme sisendi ja väljundiga diskreetse mittelineaarse juhtimissüsteemi klassikaline vaatlejakuju. |
| Authors: |
Kaldmäe, Arvo1, Kaparin, Vadim1, Kotta, Ülle1, Mullari, Tanel2 tanel.mullari@taltech.ee, Tõnso, Maris1 |
| Source: |
Proceedings of the Estonian Academy of Sciences. 2026, Vol. 75 Issue 1, p2-14. 13p. |
| Subjects: |
Discrete-time systems, Coordinate transformations, Dynamical systems, Vector fields, Observability (Control theory), Geometric approach |
| Abstract (English): |
The paper addresses the problem of transforming multi-input multi-output discrete-time nonlinear state equations into the classical observer form using state transformation. Necessary and sufficient geometric solvability conditions are given in terms of vector fields. The results obtained generalize the previous ones in several aspects. First, the results are also applicable to non-reversible systems. Second, they hold almost everywhere, not only around the equilibrium point of the system. The generalizations are possible due to the use of different mathematical tools. The proof of sufficiency also provides a method for finding the state transformation. The results are illustrated by two examples. [ABSTRACT FROM AUTHOR] |
| Abstract (Estonian): |
Artikkel käsitleb mitme sisendi ja väljundiga mittelineaarsete diskreetaja olekuvõrrandite olekuteisendusega viimist klassikalisele vaatlejakujule. Tarvilikud ja piisavad geomeetrilised lahenduvustingimused on esitatud vektorväljade kaudu. Leitud tulemused üldistavad varasemaid mitmes aspektis: esiteks on tulemused rakendatavad ka mittepööratavatele süsteemidele; teiseks kehtivad need peaaegu kõikjal, mitte ainult süsteemi tasakaalupunkti ümbruses. Üldistused on võimalikud tänu teistsuguse matemaatilise aparatuuri kasutamisele. Piisavuse tõestus annab ühtlasi meetodi olekuteisenduse leidmiseks. Tulemusi illustreeritakse kahe näite abil [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
