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Finite-Time Fault Tracking Control for T–S Fuzzy Systems Using Intermediate Estimator

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Abstract

This paper investigates the problem of finite-time stability for Takagi–Sugeno (T–S) fuzzy system with intermediate estimator. Based on intermediate estimator, a fuzzy fault-tolerant controller is designed for the considered fuzzy system to solve the tracking problem of time-varying fault. In particular, \(H_\infty \) performance index is employed to deal the external noises. More incisively, the constraints in the form of Linear Matrix Inequalities (LMIs) for finite-time stability with \(H_\infty \) performance are built by constructing suitable Lyapunov’s candidates. Finally, an illustration of truck–trailer model is given to exhibit the efficacy of proposed controller.

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Authors and Affiliations

  1. Department of Applied Mathematics, Bharathiar University, Coimbatore, 641046, India

    S. Senpagam, P. Dhanalakshmi & R. Mohanapriya

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  1. S. Senpagam
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  2. P. Dhanalakshmi
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  3. R. Mohanapriya
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Correspondence to P. Dhanalakshmi.

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Senpagam, S., Dhanalakshmi, P. & Mohanapriya, R. Finite-Time Fault Tracking Control for T–S Fuzzy Systems Using Intermediate Estimator. Int. J. Fuzzy Syst. 22, 101–110 (2020). https://doi.org/10.1007/s40815-019-00760-5

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  • DOI: https://doi.org/10.1007/s40815-019-00760-5

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