Skip to Main content Skip to Navigation
Conference papers

Control of differentially flat linear delay systems with constraints

Abstract : We consider the control of differentially flat linear delay systems with constraints. The constraints can be given on the state and/or on the control. Linear delay systems are here envisioned as modules over a ring of differential and distributed delay operators. Due to the nice Bezout property that this ring enjoys, the controllability notions of freeness, projectivity and torsion freeness coincide. Thanks to the flatness (corresponding to freeness for linear systems) property, all constraints are reported through the flat output (the basis of the corresponding module). We then make use of polynomial B-splines as specialisations for the flat output; the constraints are then expressed as inequalities in these B-splines control points. Some examples illustrate the effectiveness of the approach.
Document type :
Conference papers
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal-centralesupelec.archives-ouvertes.fr/hal-01648037
Contributor : Luca Greco <>
Submitted on : Tuesday, April 28, 2020 - 10:43:46 AM
Last modification on : Wednesday, October 14, 2020 - 3:56:40 AM

File

1-s2.0-S2405896317325272-main....
Publisher files allowed on an open archive

Identifiers

Citation

Maria Bekcheva, Hugues Mounier, Luca Greco. Control of differentially flat linear delay systems with constraints. IFAC 2017 - 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. pp.13348 - 13353, ⟨10.1016/j.ifacol.2017.08.1901⟩. ⟨hal-01648037⟩

Share

Metrics

Record views

233

Files downloads

30