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LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation

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Abstract

This article addresses the stability of uncertain fractional order systems of neutral type under actuator saturation. Some criteria regarding the asymptotic robust stability of such type of systems are constructed with the help of the Lyapunov–Krasovskii functional. Moreover, a state-feedback control law is formulated by means of linear matrix inequalities. In order to analyze the domain of attraction, an algorithm for determining the controller gain is provided via the cone complementarity linearization method. The main results are illustrated via numerical examples.

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Authors and Affiliations

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

    Zahra Sadat Aghayan & Alireza Alfi

  2. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida 431, 4249-015, Porto, Portugal

    J. A. Tenreiro Machado

Authors
  1. Zahra Sadat Aghayan
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  2. Alireza Alfi
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  3. J. A. Tenreiro Machado
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Correspondence to Alireza Alfi.

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Communicated by Agnieszka Malinowska.

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Aghayan, Z.S., Alfi, A. & Machado, J.A.T. LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation. Comp. Appl. Math. 40, 142 (2021). https://doi.org/10.1007/s40314-021-01522-6

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