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Robust Anti-windup Controller Design for Takagi–Sugeno Fuzzy Systems with Time-Varying Delays and Actuator Saturation

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Abstract

The aim of this paper is to present a robust anti-windup compensator methodology to deal with the stabilization of nonlinear time-varying delay systems, which are described by Takagi–Sugeno (T–S) fuzzy models. Given a stabilizing output feedback fuzzy controller, an anti-windup control approach is developed to estimate the domain of attraction. Based on the Lyapunov–Krasovskii functional and delay-dependent analysis, sufficient conditions for the robust stabilization via anti-windup controller are derived in terms of linear matrix inequalities. In addition, an algorithm is provided to optimize the anti-windup gain and reduce the conservatism. Numerical examples illustrate the effectiveness of our methodology and show the improvements over the existing ones.

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Data Availability Statement

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Authors and Affiliations

  1. LISAC, Department of Physics, Faculty of Sciences, University Sidi Mohamed Ben Abdellah, B.P. 1796, Fez-Atlas, Morocco

    Khadija Naamane & El Houssaine Tissir

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  1. Khadija Naamane
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  2. El Houssaine Tissir
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Correspondence to Khadija Naamane.

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Naamane, K., Tissir, E.H. Robust Anti-windup Controller Design for Takagi–Sugeno Fuzzy Systems with Time-Varying Delays and Actuator Saturation. Circuits Syst Signal Process 41, 1426–1452 (2022). https://doi.org/10.1007/s00034-021-01849-9

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