Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization
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ArticleAuthors
Chaib-Draa, KhadidjaZemouche, Ali
Bedouhene, Fazia
Rajamani, Rajesh
Wang, Yan
Karimi, Hamid Reza
Laleg-Kirati, Taous-Meriem

KAUST Department
Electrical Engineering ProgramComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Physical Science and Engineering (PSE) Division
KAUST Grant Number
BAS/1/1627-0101Date
2021-01-16Embargo End Date
2022-01-15Submitted Date
2020-01-09Permanent link to this record
http://hdl.handle.net/10754/667055
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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 scheme provides a direct and explicit estimation algorithm based on the use of delayed outputs, while the second scheme uses two combined asymptotic observers, connected by a condition of invertibility of a certain time-varying matrix, to recover solution of the LPV system in a finite-time. Furthermore, two stabilization strategies are proposed. The first strategy, called Delayed Inputs/Outputs Feedback (DIOF) stabilization method, is based on the use of the explicit estimation algorithm. The second technique, called Two Connected Observers Feedback (2-COF) stabilization method, is based on the use of two combined observers providing exact finite-time estimation. A numerical example is given to show the validity and effectiveness of the proposed algorithms by simulation.Citation
Chaib-Draa, K., Zemouche, A., Bedouhene, F., Rajamani, R., Wang, Y., Karimi, H. R., & Laleg-Kirati, T. M. (2021). Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization. Automatica, 125, 109436. doi:10.1016/j.automatica.2020.109436Sponsors
The authors would like to thank the anonymous reviewers for their constructive comments and helpful suggestions. This work was funded by the TechnOptiz start-up company founded by K. Chaib-Draa, and by King Abdullah University of Science and Technology (KAUST) baseline (BAS/1/1627-0101). R. Rajamani thanks the Benjamin Y.H.Liu-TSI endowment fund for support. F. Bedouhene thanks the Direction Générale de la Recherche Scientientifique et du Développement Technologique DGRSDT/MESRS-Algeria for the financial support. A. Zemouche thanks the IUT Henri Poincaré of Longwy for the partial support of this work.Publisher
Elsevier BVJournal
AutomaticaAdditional Links
https://linkinghub.elsevier.com/retrieve/pii/S0005109820306385ae974a485f413a2113503eed53cd6c53
10.1016/j.automatica.2020.109436