A normal form for two-input forward-flat nonlinear discrete-time systems

Johannes Diwold; Bernd Kolar; Markus Schöberl

doi:10.1080/00207721.2020.1866095

A normal form for two-input forward-flat nonlinear discrete-time systems

Johannes Diwold, Bernd Kolar, Markus Schöberl

Institute of Control Systems

Research output: Contribution to journal › Article › peer-review

Abstract

We show that every forward-flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form has a triangular structure and allows to read off the flat output, as well as a systematic construction of the parameterisation of all system variables by the flat output and its forward-shifts. For flat continuous-time systems, no comparable normal form exists.

Original language	English
Pages (from-to)	1586-1598
Number of pages	14
Journal	International Journal of Systems Science
Issue number	8
DOIs	https://doi.org/10.1080/00207721.2020.1866095
Publication status	Published - Jan 2021

Fields of science

202017 Embedded systems
203015 Mechatronics
101028 Mathematical modelling
202 Electrical Engineering, Electronics, Information Engineering
202003 Automation
202027 Mechatronics
202034 Control engineering

JKU Focus areas

Digital Transformation
Sustainable Development: Responsible Technologies and Management

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10.1080/00207721.2020.1866095

Cite this

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abstract = "We show that every forward-flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form has a triangular structure and allows to read off the flat output, as well as a systematic construction of the parameterisation of all system variables by the flat output and its forward-shifts. For flat continuous-time systems, no comparable normal form exists.",

author = "Johannes Diwold and Bernd Kolar and Markus Sch{\"o}berl",

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AB - We show that every forward-flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form has a triangular structure and allows to read off the flat output, as well as a systematic construction of the parameterisation of all system variables by the flat output and its forward-shifts. For flat continuous-time systems, no comparable normal form exists.

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JF - International Journal of Systems Science

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A normal form for two-input forward-flat nonlinear discrete-time systems

Abstract

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Flatness based system decompositions

Cite this

A normal form for two-input forward-flat nonlinear discrete-time systems

Abstract

Fields of science

JKU Focus areas

Access to Document

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Flatness based system decompositions

Cite this