TY - JOUR
T1 - Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization
AU - Chaib-Draa, Khadidja
AU - Zemouche, Ali
AU - Bedouhene, Fazia
AU - Rajamani, Rajesh
AU - Wang, Yan
AU - Karimi, Hamid Reza
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2021-01-28
Acknowledged KAUST grant number(s): BAS/1/1627-0101
Acknowledgements: 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.
PY - 2021/1/16
Y1 - 2021/1/16
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 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.
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 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.
UR - http://hdl.handle.net/10754/667055
UR - https://linkinghub.elsevier.com/retrieve/pii/S0005109820306385
UR - http://www.scopus.com/inward/record.url?scp=85099451053&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2020.109436
DO - 10.1016/j.automatica.2020.109436
M3 - Article
SN - 0005-1098
VL - 125
SP - 109436
JO - Automatica
JF - Automatica
ER -