Feedback Control Design Strategy for Stabilization of Delayed Descriptor Fractional Neutral Systems with Order 0 < ϱ < 1 in the Presence of Time-Varying Parametric Uncertainty

Author:

Aghayan Zahra Sadat1ORCID,Alfi Alireza1ORCID,Pahnehkolaei Seyed Mehdi Abedi2,Lopes António M.3ORCID

Affiliation:

1. Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran

2. Department of Electrical Engineering, Sari Branch, Islamic Azad University, Sari 19318-48161, Iran

3. LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal

Abstract

Descriptor systems are more complex than normal systems, which are modeled by differential equations. This paper derives stability and stabilization criteria for uncertain fractional descriptor systems with neutral-type delay. Through the Lyapunov–Krasovskii functional approach, conditions subject to time-varying delay and parametric uncertainty are formulated as linear matrix inequalities. Based on the established criteria, static state- and output-feedback control laws are designed to ensure regularity and impulse-free properties, together with robust stability of the closed-loop system under permissible uncertainties. Numerical examples illustrate the effectiveness of the control methods and show that the results depend on the range of variation in the delays and on the fractional order, leading to stability analysis results that are less conservative than those reported in the literature.

Publisher

MDPI AG

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