Interval Observers for Continuous-Time LPV Systems with L1 /L2 Performance

Stanislav Chebotarev 1 Denis Efimov 2 Tarek Raïssi 3 Ali Zolghadri 4
1 Department of Control Systems and Informatics,
Saint Petersburg State University of Information Technologies Mechanics and Optics,
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : An approach to interval observer design for Linear Parameter-Varying (LPV) systems is proposed. It is assumed that the vector of scheduling parameters in LPV models is not available for measurement. Two different interval observers are constructed for nonnegative systems and for a generic case. Stability conditions are expressed in terms of matrix inequalities, which can be solved with respect to the observer gains using standard numerical solvers. Applying L1/L2 framework the robustness and estimation accuracy with respect to model uncertainty are analyzed. The efficiency of interval estimation for LPV models is demonstrated through numerical experiments for a microfluidic system and an academic example.
Document type :
Journal articles
Complete list of metadatas

Cited literature [31 references]  Display  Hide  Download

https://hal.inria.fr/hal-01149982
Contributor : Denis Efimov <>
Submitted on : Thursday, May 7, 2015 - 11:45:39 PM
Last modification on : Friday, March 22, 2019 - 1:35:12 AM
Long-term archiving on : Wednesday, April 19, 2017 - 7:58:54 PM

File

Interval_LPV_J.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01149982, version 1

Citation

Stanislav Chebotarev, Denis Efimov, Tarek Raïssi, Ali Zolghadri. Interval Observers for Continuous-Time LPV Systems with L1 /L2 Performance. Automatica, Elsevier, 2015, pp.1-12. ⟨hal-01149982⟩

Share

Metrics

Record views

320

Files downloads

876