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

Zahra Sadat AGHAYAN; Alireza ALFI; J. A. TENREIRO MACHADO

doi:10.1631/FITEE.2000438

Front. Inform. Technol. Electron. Eng ›› 2021, Vol. 22 ›› Issue (10) : 1402 -1412. DOI: 10.1631/FITEE.2000438

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

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Abstract

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.

Keywords

Fractional-order system / Stability / Neutral delay / Robust / Saturation

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Zahra Sadat AGHAYAN, Alireza ALFI, J. A. TENREIRO MACHADO. Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation. Front. Inform. Technol. Electron. Eng, 2021, 22(10): 1402-1412 DOI:10.1631/FITEE.2000438