Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Flatness of interconnected linear systems and applications to electrical systems

Abstract : In this paper, we completely describe flatness of the simplest class of interconnected systems: we consider an interconnection of (controllable) single-input linear subsystems in dimension two with a star topology and a linear interconnection dynamics (with no inputs acting directly on the interconnection variable). First, we observe that even if each subsystem is flat, flatness of the global interconnected system is not necessarily preserved. Then, we give necessary and sufficient verifiable conditions for flatness of the interconnected system. When the interconnected system is flat, we analyze how its flat output depends on the interconnection variable and how it can be expressed in function of the flat outputs of each subsystem. Finally, we show how our results can be applied to electrical power systems.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03771607
Contributor : Alessio Iovine Connect in order to contact the contributor
Submitted on : Wednesday, September 21, 2022 - 3:31:41 PM
Last modification on : Monday, September 26, 2022 - 8:20:39 AM

File

COSY2022 - Flatness_of_interco...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03771607, version 1

Citation

Florentina Nicolau, Alessio Iovine. Flatness of interconnected linear systems and applications to electrical systems. 2022. ⟨hal-03771607⟩

Share

Metrics

Record views

0

Files downloads

0