Design of sliding mode control based on Razumikhin approach and linear matrix inequality for nonlinear fractional time-varying delay systems.

Autor: Ghamgosar, Mohammad, Mirhosseini-Alizamini, Seyed Mehdi, Dadkhah, Mahmood
Zdroj: Journal of Advanced Mathematical Modeling (JAMM); Jun2022, Vol. 12 Issue 2, p135-152, 18p
Abstrakt: In this paper, a sliding mode control for systems that are nonlinear, having fractional order, and involve delay is used. The aim of this paper is to design a sliding mode controller, such that the closedlooped nonlinear system becomes asymptotically stable and its trajectory can be driven onto the sliding surface in finite time. By using the fractional Razumikhin theorem for the stability of fractional-order systems including delay and a linear matrix inequality, necessary conditions on asymptotic stabilization are obtained. Some numerical examples are given to illustrate the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index