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 - Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/3
Y1 - 2021/3
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.
KW - Estimation
KW - LMI approach
KW - LPV systems
KW - Observer design
KW - Output feedback stabilization
UR - http://www.scopus.com/inward/record.url?scp=85099451053&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85099451053&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2020.109436
DO - 10.1016/j.automatica.2020.109436
M3 - Article
AN - SCOPUS:85099451053
SN - 0005-1098
VL - 125
JO - Automatica
JF - Automatica
M1 - 109436
ER -