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Robust Fault Estimation for Takagi–Sugeno Nonlinear Systems with Time-Varying State Delay

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Abstract

This paper addresses the problem of robust fault estimation for Takagi–Sugeno (T–S) nonlinear systems with time-varying state delay. Under \(H_{\infty }\) performance constraint, a fuzzy-augmented fault estimation observer (AFEO) design is proposed to enhance the performance of fault estimation for T–S nonlinear state delay models with actuator and sensor faults simultaneously. Based on Lyapunov function and improved free-weighting approach, some less conservative sufficient conditions for the existence of AFEO are given in terms of linear matrix inequalities, and the obtained fault estimates via AFEO can practically better depict the size and shape of the faults. Finally, three illustrative examples are given to illustrate the validity of the proposed design procedures.

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Acknowledgments

This work is supported in part by the National Natural Science Foundation of China (Grant Nos. 61374146, 61174130 and 61004083), Project 863 of China (Grant No. 2011AA060204) and Project 973 of China (Grant No. 2009CB320601), and IAPI Fundamental Research Funds (Grant No. 2013ZCX02-04). We would like to express our appreciation to the anonymous referees and the Associate Editor for their valuable comments and suggestions.

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang , 110004, China

    Chao Sun & FuLi Wang

  2. Stat Key Laboratory of Integrated Automation of Process Industry Technology and Research Center of National Metallurgical Automation, Northeastern University, Shenyang , 110004, China

    FuLi Wang

  3. School of Sciences, University of Science and Technology of Liaoning, Anshan , 114051, China

    Chao Sun & XiQin He

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  1. Chao Sun
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  2. FuLi Wang
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Correspondence to Chao Sun.

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Sun, C., Wang, F. & He, X. Robust Fault Estimation for Takagi–Sugeno Nonlinear Systems with Time-Varying State Delay. Circuits Syst Signal Process 34, 641–661 (2015). https://doi.org/10.1007/s00034-014-9855-9

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  • DOI: https://doi.org/10.1007/s00034-014-9855-9

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