Flatness conditions for systems with two inputs

Flatness conditions for systems with two inputs

Flat systems with 2 inputs are investigated. Our approach is based on invertible differential operators and deformations of structures on diffieties of control systems. Invertible differential operators of size are described. The order of a flat output is estimated by the order of the corresponding...

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Main Author: V. N. Chetverikov
Format: Article
Language:Russian
Published: Moscow State Technical University of Civil Aviation 2016-11-01
Series:Naučnyj Vestnik MGTU GA
Subjects:
nonlinear systems, infinite-order prolongations, flat control systems, dynamic feedback linearization, invertible differential operators
Online Access:https://avia.mstuca.ru/jour/article/view/302
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spelling doaj-64cc400798b646e8bcc8ea749649e7152021-07-28T21:00:35ZrusMoscow State Technical University of Civil Aviation Naučnyj Vestnik MGTU GA2079-06192542-01192016-11-012202838302Flatness conditions for systems with two inputsV. N. Chetverikov0MSTU named after BaumanFlat systems with 2 inputs are investigated. Our approach is based on invertible differential operators and deformations of structures on diffieties of control systems. Invertible differential operators of size are described. The order of a flat output is estimated by the order of the corresponding invertible differential operator linearizing the control system. The minimal order of invertible differential operator linearizing the system is estimated by the order of its deformation.https://avia.mstuca.ru/jour/article/view/302nonlinear systems, infinite-order prolongations, flat control systems, dynamic feedback linearization, invertible differential operators
collection DOAJ
language Russian
format Article
sources DOAJ
author V. N. Chetverikov
spellingShingle V. N. Chetverikov
Flatness conditions for systems with two inputs
Naučnyj Vestnik MGTU GA
nonlinear systems, infinite-order prolongations, flat control systems, dynamic feedback linearization, invertible differential operators
author_facet V. N. Chetverikov
author_sort V. N. Chetverikov
title Flatness conditions for systems with two inputs
title_short Flatness conditions for systems with two inputs
title_full Flatness conditions for systems with two inputs
title_fullStr Flatness conditions for systems with two inputs
title_full_unstemmed Flatness conditions for systems with two inputs
title_sort flatness conditions for systems with two inputs
publisher Moscow State Technical University of Civil Aviation
series Naučnyj Vestnik MGTU GA
issn 2079-0619
2542-0119
publishDate 2016-11-01
description Flat systems with 2 inputs are investigated. Our approach is based on invertible differential operators and deformations of structures on diffieties of control systems. Invertible differential operators of size are described. The order of a flat output is estimated by the order of the corresponding invertible differential operator linearizing the control system. The minimal order of invertible differential operator linearizing the system is estimated by the order of its deformation.
topic nonlinear systems, infinite-order prolongations, flat control systems, dynamic feedback linearization, invertible differential operators
url https://avia.mstuca.ru/jour/article/view/302
work_keys_str_mv AT vnchetverikov flatnessconditionsforsystemswithtwoinputs
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