Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization

Khadidja Chaib Draa (1) , Ali Zemouche (2) , Fazia Bedouhene (3) , Rajesh Rajamani (4) , Yan Wang , Hamid Reza Karimi (5) , Taous-Meriem Laleg-Kirati (6)

1 Uni.lu - Université du Luxembourg
2 CRAN - Centre de Recherche en Automatique de Nancy
3 LMPA - Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou]
4 UMN - University of Minnesota [Twin Cities]
5 POLIMI - Politecnico di Milano [Milan]
6 KAUST - King Abdullah University of Science and Technology [Saudi Arabia]

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.

Domaines: Automatique

Khadidja Chaib Draa, Ali Zemouche, Fazia Bedouhene, Rajesh Rajamani, Yan Wang, et al.. Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization. Automatica, 2021, 125, pp.109436. ⟨10.1016/j.automatica.2020.109436⟩. ⟨hal-03104720⟩