Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization
Karimi, Hamid Reza
KAUST DepartmentComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Estimation, Modeling and ANalysis Group
Physical Science and Engineering (PSE) Division
KAUST Grant NumberBAS/1/1627-0101
Embargo End Date2022-01-15
Permanent link to this recordhttp://hdl.handle.net/10754/667055
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AbstractThis 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.
CitationChaib-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.2020.109436
SponsorsThe 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.