Skip to Main content Skip to Navigation
New interface
Book sections

Observer design for systems with non small and unknown time-varying delay

Alexandre Seuret 1, 2, 3 Thierry Floquet 4, 5 Jean-Pierre Richard 4, 5 Sarah K. Spurgeon 6 
3 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
4 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
5 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : This chapter deals with the design of observers for linear systems with unknown, time-varying, but bounded delays (on the state and on the input). In this work, the problem is solved for a class of systems by combining the unknown input observer approach with an adequate choice of a Lyapunov-Krasovskii functional for non small delay systems. This result provides workable conditions in terms of rank assumptions and LMI conditions. The dynamic properties of the observer are also analyzed. A 4th-order example is used to demonstrate the feasibility of the proposed solution.
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download
Contributor : Jean-Pierre Richard Connect in order to contact the contributor
Submitted on : Saturday, March 22, 2008 - 6:58:07 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM
Long-term archiving on: : Friday, September 28, 2012 - 11:40:51 AM


Files produced by the author(s)



Alexandre Seuret, Thierry Floquet, Jean-Pierre Richard, Sarah K. Spurgeon. Observer design for systems with non small and unknown time-varying delay. J.J. Loiseau, W. Michiels, S.I. Niculescu, R. Sipahi. Topics in Time-Delay Systems: Analysis, Algorithms and Control, Springer Verlag, pp.233-242, 2009, LNCIS, Lecture Notes in Control and Information Sciences, 978-3-642-02896-0. ⟨10.1007/978-3-642-02897-7_20⟩. ⟨inria-00266457⟩



Record views


Files downloads