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Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems

Basdouri Imed, Kasmi Souad, Lerbet Jean

Archives of Control Sciences

2023

Vol. 33, No. 1

55--70

This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones. Based on the quasi-one-sided Lipschitz condition, firstly, we provide sufficient conditions for the practical observer design. Then, we exhibit that practical Mittag-Leffler stability of the closed loop system with a linear, state feedback is attained. Finally, a separation principle is established and we prove that the closed loop system is practical Mittag-Leffler stable.