Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : This paper 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.
https://hal.inria.fr/inria-00179798 Contributor : Jean-Pierre RichardConnect in order to contact the contributor Submitted on : Tuesday, October 16, 2007 - 4:41:08 PM Last modification on : Wednesday, March 23, 2022 - 3:51:21 PM Long-term archiving on: : Monday, September 24, 2012 - 1:31:43 PM
Alexandre Seuret, Thierry Floquet, Jean-Pierre Richard, Sarah Spurgeon. Observer design for systems with nonsmall and unknown time-varying delay. TDS'07, IFAC Workshop on Time Delay Systems, IFAC, Sep 2007, Nantes, France. ⟨inria-00179798⟩