On the Stabilization and Observer Design of Polytopic Perturbed Linear Fractional-Order Systems

In this paper, the problem of stabilization and observer design of parameter-dependent perturbed fractional-order systems is investigated. Sufficient conditions on the practical Mittag-Leffler and Mittag-Leffler stability are given based on the Lyapunov technique. Firstly, the problem of stabilization using the state feedback is developed. Secondly, under some sufficient hypotheses, an observer design which provides an estimation of the state is constructed. Finally, numerical examples are provided to validate the contributed results.

Automated summary

This paper investigates the problems of stabilization and observer design for parameter-dependent perturbed fractional-order systems. Sufficient conditions for practical Mittag-Leffler and Mittag-Leffler stability are provided based on Lyapunov technique. The paper develops stabilization using state feedback and constructs an observer design for state estimation under certain hypotheses, with numerical examples provided to validate the results.