Output Stabilization of Time-Varying Input Delay Systems Using Interval Observation Technique

Andrey Polyakov 1 Denis Efimov 2, 1 Wilfrid Perruquetti 1, 2, 3 Jean-Pierre Richard 1, 2, 3
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The output stabilization problem for a linear system with an unknown bounded time-varying input delay is considered. The interval observation technique is applied in order to obtain guaranteed interval estimate of the system state. The procedure of the interval observer synthesis uses lower and upper estimates of the unknown delay and requires to solve a special Silvester's equation. The interval predictor is introduced in order to design a linear stabilizing feedback. The control design procedure is based on Linear Matrix Inequalities (LMI). The theoretical results are supported by numerical simulations and compared with a control design scheme based on a Luenberger-like observer.
Document type :
Journal articles
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal.inria.fr/hal-00847565
Contributor : Andrey Polyakov <>
Submitted on : Tuesday, July 23, 2013 - 6:13:56 PM
Last modification on : Friday, March 22, 2019 - 1:34:49 AM
Long-term archiving on : Thursday, October 24, 2013 - 10:15:22 AM

File

IntervalDelay.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00847565, version 1

Collections

Citation

Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. Output Stabilization of Time-Varying Input Delay Systems Using Interval Observation Technique. Automatica, Elsevier, 2013. ⟨hal-00847565⟩

Share

Metrics

Record views

634

Files downloads

580