Global output feedback stabilization for nonlinear fractional order time delay systems

Benali, Hanen

Kybernetika, Tome 57 (2021) no. 5, pp. 785-800

Abstract (VO)

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.

Détail

DOI : 10.14736/kyb-2021-5-0785

Classification : 93C10, 93D15, 93D20
Keywords: Riemann–Liouville fractional; nonlinear time delay system; observer design; asymptotical stability; Lyapunov functional

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