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Non-fragile Robust \(H_{\infty }\) Control for Nonlinear Uncertain Neutral Stochastic Fuzzy Systems with Mixed Time-Delays

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Abstract

This paper investigates the non-fragile robust \(H_{\infty }\) control problem of nonlinear uncertain neutral stochastic Takagi–Sugeno (T–S) fuzzy systems with mixed time-delays. The uncertainties are norm-bounded and time-varying. Sufficient conditions for \(H_{\infty }\) performance analysis results of the delay-dependent condition is established via the Lyapunov–Krasovskii functional (LKF) technique and linear matrix inequality (LMI) method. Based on the \(H_{\infty }\) performance result, a desired fuzzy control is designed by solving LMIs. Finally, an example is provided to illustrate the efficiency of the proposed method.

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Acknowledgements

The author would like to thank the editor(s) and anonymous reviewers for their constructive comments which helped to improve the present paper.

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  1. Department of Mathematics, National Institute of Technology Warangal, Warangal, Telangana, 506 004, India

    Thirumalaisamy Senthilkumar

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Senthilkumar, T. Non-fragile Robust \(H_{\infty }\) Control for Nonlinear Uncertain Neutral Stochastic Fuzzy Systems with Mixed Time-Delays. Circuits Syst Signal Process 43, 2130–2146 (2024). https://doi.org/10.1007/s00034-023-02572-3

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