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

doi:10.1109/CDC40024.2019.9030188

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

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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 language	English (US)
Title of host publication	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3788-3792
Number of pages	5
ISBN (Electronic)	9781728113982
DOIs	https://doi.org/10.1109/CDC40024.2019.9030188
State	Published - Dec 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France Duration: Dec 11 2019 → Dec 13 2019

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2019-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Country/Territory	France
City	Nice
Period	12/11/19 → 12/13/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Publisher link

10.1109/CDC40024.2019.9030188

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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). Article 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

State Estimation of LPV Discrete-Time Systems with Application to Output Feedback Stabilization. / Chaib-Draa, K.; Zemouche, A.; Rajamani, R. et al.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3788-3792 9030188 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chaib-Draa, K, Zemouche, A, Rajamani, R, Wang, Y, Bedouhene, F, Karimi, HR & Laleg-Kirati, TM 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., 9030188, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, Institute of Electrical and Electronics Engineers Inc., pp. 3788-3792, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 12/11/19. https://doi.org/10.1109/CDC40024.2019.9030188

Chaib-Draa K, Zemouche A, Rajamani R, Wang Y, Bedouhene F, Karimi HR et al. State Estimation of LPV Discrete-Time Systems with Application to Output Feedback Stabilization. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 3788-3792. 9030188. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC40024.2019.9030188

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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.",

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AB - 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.

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

Abstract

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