A Contribution in the Observer Design for a Class of Bilinear Singular Delayed Systems

Fatma Hamzaoui,Hassani Messaoud,Malek Khadhraoui

doi:10.1109/access.2021.3140137

Fatma Hamzaoui, Hassani Messaoud + Show 1 more

Open Access

https://doi.org/10.1109/access.2021.3140137

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Abstract

This paper proposes a functional observer for a bilinear singular systems with constant time delay present in both state and known input vectors. The considered system has transformed to an updated form in order to estimate both a state vector and an unknown inputs functional vector independently from the considered time delay. The necessary conditions for the existence of the functional observer are formulated. The proposed observer design procedure is based on the Lyapunov–Krasovskii theory. Numerical example is given to prove the new approach.

Highlights

Bilinear systems have been striking in the recent decade [7], [10], [14]
We have suggested an observer in order to estimate both state functional vector and unknown input functional vector for a class of a bilinear system with the presence of an unknown input and constant time delay
RELATED WORK In this framework, we develop a functional observer for bilinear system

Summary

INTRODUCTION

Bilinear systems have been striking in the recent decade [7], [10], [14]. numerous areas of engineering, socio-economic, biology and ecology can be labelled by bilinear models while classical ones are insufficient such as [13] and [11]. Less attention has been given to the development of observer for unknown inputs bilinear models ([12], [14]). Stability criteria was considered and tested using different tools (LMI tests) ([5] and [18]) and according to the Lyapunov Krasovskii theory [21]. Motivated by these facts, we have suggested an observer in order to estimate both state functional vector and unknown input functional vector for a class of a bilinear system with the presence of an unknown input and constant time delay.

RELATED WORK

Objective

CONCLUSION