State Estimation of LPV Discrete-Time Systems with Application to Output Feedback Stabilization

K. Chaib-Draa, A. Zemouche, R. Rajamani, Y. Wang, F. Bedouhene, H. R. Karimi, T. M. Laleg-Kirati

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with new finite-time estimation algorithms for Linear Parameter Varying (LPV) discrete-time systems and their application to output feedback stabilization. Two exact finite-time estimation schemes are proposed. The first one provides a direct and explicit estimation algorithm based on the use of delayed outputs, while the second one uses two combined asymptotic observers, connected by a condition of invertibility of a certain time-varying matrix, to recover in a finite-time the solution of the LPV system. Furthermore, a stabilization strategy is proposed as an extension. This strategy, called Two Connected Observers Feedback (2-COF) stabilization method, is based on the use of the two combined observers based estimation algorithm.

Original languageEnglish (US)
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3788-3792
Number of pages5
ISBN (Electronic)9781728113982
DOIs
StatePublished - Dec 2019
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
Duration: Dec 11 2019Dec 13 2019

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2019-December
ISSN (Print)0743-1546

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
CountryFrance
CityNice
Period12/11/1912/13/19

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  • Cite this

    Chaib-Draa, K., Zemouche, A., Rajamani, R., Wang, Y., Bedouhene, F., Karimi, H. R., & Laleg-Kirati, T. M. (2019). State Estimation of LPV Discrete-Time Systems with Application to Output Feedback Stabilization. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 3788-3792). [9030188] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC40024.2019.9030188