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; Taous-Meriem 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, Taous-Meriem Laleg-Kirati

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)
Publisher	IEEE
Pages	3788-3792
Number of pages	5
ISBN (Print)	9781728113982
DOIs	https://doi.org/10.1109/CDC40024.2019.9030188
State	Published - 2019

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KAUST Repository Item: Exported on 2020-04-23

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10.1109/CDC40024.2019.9030188

https://repository.kaust.edu.sa/bitstream/10754/662166/1/09030188.pdf

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@inproceedings{3ed3600c4ee44ce380d791a151754d0b,

title = "State Estimation of LPV Discrete-Time Systems with Application to Output Feedback Stabilization",

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.",

author = "K. Chaib-Draa and A. Zemouche and R. Rajamani and Y. Wang and F. Bedouhene and Karimi, {H. R.} and Taous-Meriem Laleg-Kirati",

note = "KAUST Repository Item: Exported on 2020-04-23",

year = "2019",

doi = "10.1109/CDC40024.2019.9030188",

language = "English (US)",

isbn = "9781728113982",

pages = "3788--3792",

booktitle = "2019 IEEE 58th Conference on Decision and Control (CDC)",

publisher = "IEEE",

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T1 - State Estimation of LPV Discrete-Time Systems with Application to Output Feedback Stabilization

AU - Chaib-Draa, K.

AU - Zemouche, A.

AU - Rajamani, R.

AU - Wang, Y.

AU - Bedouhene, F.

AU - Karimi, H. R.

AU - Laleg-Kirati, Taous-Meriem

N1 - KAUST Repository Item: Exported on 2020-04-23

PY - 2019

Y1 - 2019

N2 - 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.

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.

UR - http://hdl.handle.net/10754/662165

UR - https://ieeexplore.ieee.org/document/9030188/

UR - http://www.scopus.com/inward/record.url?scp=85082479459&partnerID=8YFLogxK

U2 - 10.1109/CDC40024.2019.9030188

DO - 10.1109/CDC40024.2019.9030188

M3 - Conference contribution

SN - 9781728113982

SP - 3788

EP - 3792

BT - 2019 IEEE 58th Conference on Decision and Control (CDC)

PB - IEEE

ER -

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

Abstract

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