Email this article On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation
- Authors: Fetisov D.A1
-
Affiliations:
- Bauman Moscow State Technical University, Moscow, 105005, Russia
- Issue: Vol 59, No 1 (2023)
- Pages: 100-114
- Section: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/144903
- DOI: https://doi.org/10.31857/S0374064123010090
- EDN: https://elibrary.ru/OCWPMQ
- ID: 144903
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Abstract
We prove a necessary and sufficient condition for the linearizability of single-input nonlinear control systems in the class of transformations containing time scaling and preserving the state manifold. A description is given for systems that are obtained by a 1-fold prolongation of a single-input nonlinear control system and are
-orbitally linearizable. It is proved that the
-orbital linearizability of the system obtained by a 1-fold prolongation of a single-input affine control system implies the
-orbital linearizability of the original system as well. It is shown that if the system obtained by a fold prolongation of a single-input nonlinear control system, where, is orbitally linearizable, then the system obtained from the original system by its 1-fold prolongation is
-orbitally linearizable as well.
About the authors
D. A Fetisov
Bauman Moscow State Technical University, Moscow, 105005, Russia
Author for correspondence.
Email: dfetisov@yandex.ru
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