Skip to Main content Skip to Navigation
Conference papers

Reducing the number of vertices in some Takagi-Sugeno models: example in the mechanical field

Abstract : This paper is concerned with the building of application-oriented model-based Takagi-Sugeno models that arise from sector nonlinearity methodology. Despite its exactness, this modeling technique produces a polytopic embedding with a number of vertices of 2 raised to the number of nonlinearities which, if high, represents a rapid growth in the number of linear matrix inequalities (needed to solve even the simplest control and observation schemes). A solution for model reduction is proposed based on the similarity of Taylor approximations amongst nonlinearities, with a measurable bound on the approximation, which - as proven with a suitable application example - brings the methodology closer to real-time demands.
Document type :
Conference papers
Complete list of metadata

https://hal-uphf.archives-ouvertes.fr/hal-03411309
Contributor : Kathleen Torck Connect in order to contact the contributor
Submitted on : Tuesday, November 2, 2021 - 10:41:10 AM
Last modification on : Wednesday, November 3, 2021 - 3:53:01 AM

Links full text

Identifiers

Collections

Citation

Thierry-Marie Guerra, Miguel Bernal, Mathias Blandeau. Reducing the number of vertices in some Takagi-Sugeno models: example in the mechanical field. 3rd IFAC Conference on Embedded Systems, Computational Intelligence and Telematics in Control CESCIT 2018, Jun 2018, Faro, Portugal. pp.133-138, ⟨10.1016/j.ifacol.2018.06.250⟩. ⟨hal-03411309⟩

Share

Metrics

Record views

5