Global output feedback stabilization for nonlinear fractional order time delay systems

Title:

Global output feedback stabilization for nonlinear fractional order time delay systems

Creator:

Benali, Hanen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c34fb176-b125-4540-a11c-0420e0faca3c
uuid:c34fb176-b125-4540-a11c-0420e0faca3c
doi:10.14736/kyb-2021-5-0785

Subject:

observer design, Lyapunov functional, Riemann-Liouville fractional, nonlinear time delay system, and asymptotical stability

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper investigates the problem of global stabilization by state and output-feedback for a family of for nonlinear Riemann-Liouville and Caputo fractional order time delay systems written in triangular form satisfying linear growth conditions. By constructing a appropriate Lyapunov-Krasovskii functional, global asymptotic stability of the closed-loop systems is achieved. Moreover, sufficient conditions for the stability, for the particular class of fractional order time-delay system are obtained. Finally, simulation results dealing with typical bioreactor example, are given to illustrate that the proposed design procedures are very efficient and simple.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

785-800

Source:

Kybernetika | 2021 Volume:57 | Number:5

Harvested from:

CDK

Metadata only:

false