A stability study approach of fuzzy control systems, in the continuous case and the discrete one, is presented in this paper. This approach is based on vector norms corresponding to a Lyapunov’s vector function and allowing to establish sufficient conditions for global asymptotic stability of controlled linear systems by Mamdani’s fuzzy controllers. The considered fuzzy regulators are of type PI and have particular fuzzy partition for input variables corresponding to Lur’e type systems.
Mamdani’s fuzzy controllers, global asymptotic stability, vector norms, arrow’s form matrix.
All articles published by Studies in Informatics and Control (SIC) are published in accordance with the terms and conditions of the Creative Commons Attribution License (CC BY-NC-SA 4.0).