Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation

• Published in: Frontiers of information technology & electronic engineering Vol. 22; no. 10; pp. 1402 - 1412
• Main Authors: Aghayan, Zahra Sadat, Alfi, Alireza, Tenreiro Machado, J. A.
• Format: Journal Article
• Language: English
• Published: Hangzhou Zhejiang University Press 01.10.2021; Springer Nature B.V; Faculty of Electrical and Robotic Engineering,Shahrood University of Technology,Shahrood 36199-95161,Iran%Institute of Engineering,Polytechnic of Porto,Rua António Bernardino de Almeida 431,Porto 4249-015,Portugal
• Subjects: Actuators; Algorithms; Communications Engineering; Computer Hardware; Computer Science; Computer Systems Organization and Communication Networks; Controllers; Electrical Engineering; Electronics and Microelectronics; Engineering; Feedback control; Instrumentation; Liapunov direct method; Linear matrix inequalities; Mathematical analysis; Networks; Robustness (mathematics); Stability analysis; State feedback; Systems stability; Stability; O231; 中立时滞; Robust; Saturation; 稳定性; 饱和性; Fractional-order system; 分数阶系统; Neutral delay; 鲁棒性
• ISSN: 2095-9184; 2095-9230
• DOI: 10.1631/FITEE.2000438

This study analyzes the problem of robust stability of fractional-order delay systems of neutral type under actuator saturation. A Lyapunov-Krasovskii (LK) function is constructed and conditions of the asymptotic robust stability of such systems are given, which are formulated by linear matrix inequalities (LMIs), using the Lyapunov direct method. An algorithm is introduced to compute the gain of the state feedback controller for extending the domain of attraction. The theoretical results are validated using some numerical examples.