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Anti-windup Compensator Synthesis for Sampled-Data Delay Systems

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Abstract

This paper deals with the problem of synthesizing an anti-windup compensator for time-delay systems subject to actuator saturation, and uncertain sampling period with the known upper bound on the sampling intervals. By incorporating Lyapunov–Krasovskii functional, Jensen’s integral inequality and Wirtingers integral inequality, some sufficient conditions are obtained via LMI formulation. The conditions guarantee the stability of the closed-loop system, an \( H_{\infty } \) norm bound performances and enlarge the estimation of domain of attraction. Finally, to demonstrate the effectiveness of the developed results, simulation examples are provided.

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences Dhar El Mehraz, Sidi Mohammed Ben Abdellah University, LESSI, BP 1796, Fes-Atlas, Morocco

    Ouarda Lamrabet & El Houssaine Tissir

  2. Department of Mathematics and Informatics, Polydisciplinary Faculty, BP 300, 62700, Selouane, Nador, Morocco

    Fatima El Haoussi

Authors
  1. Ouarda Lamrabet
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  2. El Houssaine Tissir
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  3. Fatima El Haoussi
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Correspondence to Ouarda Lamrabet.

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Lamrabet, O., Tissir, E.H. & El Haoussi, F. Anti-windup Compensator Synthesis for Sampled-Data Delay Systems. Circuits Syst Signal Process 38, 2055–2071 (2019). https://doi.org/10.1007/s00034-018-0971-9

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  • DOI: https://doi.org/10.1007/s00034-018-0971-9

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