Regularization and robust stabilization of uncertain singular fractional-order systems
Résumé
In this paper, robust asymptotical stabilization problem via a predictive and memoryless static feedbacks for uncertain singular fractional-order systems for the fractional order between 0 and 2 is investigated. The parameter uncertainty is assumed to be time-invariant and norm-bounded appearing in the state matrix. Sufficient linear matrix inequalities conditions for regularization of uncertain singular fractional-order systems are given. Then, the predictive controller aims to regularizing the uncertain singular fractional-order systems while the memoryless state feedback is designed to stabilize the resulting regularized system. A numerical example is given to demonstrate the applicability of the proposed approach.