Kybernetika 57 no. 5, 785-800, 2021

Global output feedback stabilization for nonlinear fractional order time delay systems

Hanen BenaliDOI: 10.14736/kyb-2021-5-0785

Abstract:

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.

Keywords:

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

Classification:

93C10, 93D15, 93D20

paper.pdf

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