Construction of Flat Outputs of Nonlinear Discrete-Time Systems in a Geometric and an Algebraic Framework

Bernd Kolar; Arvo Kaldmäe; Markus Schöberl; Ülle Kotta; Kurt Schlacher

Construction of Flat Outputs of Nonlinear Discrete-Time Systems in a Geometric and an Algebraic Framework

Bernd Kolar, Arvo Kaldmäe, Markus Schöberl, Ülle Kotta, Kurt Schlacher

Institute of Control Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

This paper introduces a method for the construction of flat outputs of nonlinear discrete-time systems which is based on the idea of finding state- and input transformations which split the system into a smaller-dimensional subsystem and an endogenous dynamic feedback. If such a transformation exists, the complete system is flat if and only if the subsystem is flat, and thus in the next step we can proceed with the smaller-dimensional subsystem. We show how to find the appropriate coordinate transformations in a geometric and an algebraic framework, which are both well-established for the analysis of discrete-time systems.

Original language	English
Title of host publication	Proceedings 10th IFAC Symposium on Nonlinear Control Systems
Number of pages	6
Publication status	Published - 2016

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

Mechatronics and Information Processing

Cite this

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title = "Construction of Flat Outputs of Nonlinear Discrete-Time Systems in a Geometric and an Algebraic Framework",

abstract = "This paper introduces a method for the construction of flat outputs of nonlinear discrete-time systems which is based on the idea of finding state- and input transformations which split the system into a smaller-dimensional subsystem and an endogenous dynamic feedback. If such a transformation exists, the complete system is flat if and only if the subsystem is flat, and thus in the next step we can proceed with the smaller-dimensional subsystem. We show how to find the appropriate coordinate transformations in a geometric and an algebraic framework, which are both well-established for the analysis of discrete-time systems.",

author = "Bernd Kolar and Arvo Kaldm{\"a}e and Markus Sch{\"o}berl and {\"U}lle Kotta and Kurt Schlacher",

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T1 - Construction of Flat Outputs of Nonlinear Discrete-Time Systems in a Geometric and an Algebraic Framework

AU - Kolar, Bernd

AU - Kaldmäe, Arvo

AU - Schöberl, Markus

AU - Kotta, Ülle

AU - Schlacher, Kurt

PY - 2016

Y1 - 2016

N2 - This paper introduces a method for the construction of flat outputs of nonlinear discrete-time systems which is based on the idea of finding state- and input transformations which split the system into a smaller-dimensional subsystem and an endogenous dynamic feedback. If such a transformation exists, the complete system is flat if and only if the subsystem is flat, and thus in the next step we can proceed with the smaller-dimensional subsystem. We show how to find the appropriate coordinate transformations in a geometric and an algebraic framework, which are both well-established for the analysis of discrete-time systems.

AB - This paper introduces a method for the construction of flat outputs of nonlinear discrete-time systems which is based on the idea of finding state- and input transformations which split the system into a smaller-dimensional subsystem and an endogenous dynamic feedback. If such a transformation exists, the complete system is flat if and only if the subsystem is flat, and thus in the next step we can proceed with the smaller-dimensional subsystem. We show how to find the appropriate coordinate transformations in a geometric and an algebraic framework, which are both well-established for the analysis of discrete-time systems.

M3 - Conference proceedings

BT - Proceedings 10th IFAC Symposium on Nonlinear Control Systems

ER -