Skip to Main content Skip to Navigation
New interface
Journal articles

A nonsmooth hybrid invariance principle applied to robust event-triggered design

Abstract : We first propose a nonsmooth hybrid invariance principle with relaxed conditions stemming from the fact that flowing solutions evolve only in the tangent cone, and complete jumping solutions cannot jump ouside the jump and flow sets. We then show an application consisting in the design of event-triggered rules to stabilize a class of uncertain linear control systems. The event-triggering rule depends only on local information, that is it uses only the output signals available to the controller. The approach proposed combines a hybrid framework to describe the closed-loop system with looped functionals based techniques. The proposed design conditions are formulated in terms of linear matrix inequalities (LMIs) ensuring global robust asymptotic stability of the closed-loop system. A tunable parameter is also available to guarantee an adjustable dwell-time property of the solutions. The effectiveness of the approach is evaluated through an example borrowed from the literature.
Document type :
Journal articles
Complete list of metadata

Cited literature [26 references]  Display  Hide  Download
Contributor : Alexandre Seuret Connect in order to contact the contributor
Submitted on : Tuesday, May 23, 2017 - 9:14:26 AM
Last modification on : Tuesday, November 29, 2022 - 12:02:06 PM
Long-term archiving on: : Friday, August 25, 2017 - 12:25:45 AM


Files produced by the author(s)



Alexandre Seuret, Christophe Prieur, Sophie Tarbouriech, A R Teel, Luca Zaccarian. A nonsmooth hybrid invariance principle applied to robust event-triggered design. IEEE Transactions on Automatic Control, 2019, 64 (5), pp.2061-2068. ⟨10.1109/TAC.2018.2863188⟩. ⟨hal-01526331⟩



Record views


Files downloads