Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation

By Esmat Sadat Alaviyan Shahri, A. Alfi, J.A. Tenreiro Machado. 2020

50 citations recorded by the source corpus.

Abstract The robust stability and stabilization of a class of fractional order systems under input saturation is studied using the Lyapunov method. In the problem formulation the Lipchitz and bounded conditions are adopted. Moreover, sufficient conditions, in the form of a Linear Matrix Inequality, for stabilizing the system via a state feedback control, are derived. Two numerical examples show the effectiveness of the proposed technique.

Subfields: Artificial Intelligence, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/6e825547f3993a096933c7ccdc962c65bb970088