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Codesign of adaptive event generator and nonfragile observer for nonlinear systems with bounded disturbances based on interval type-2 T–S fuzzy models

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Abstract

This study presents a novel fuzzy observer synthesis method for a class of nonlinear systems characterized by discrete-time interval type-2 Takagi–Sugeno fuzzy models, which involves measurable/unmeasurable premise variables and bounded disturbances within ellipsoids. A nonfragile observer design strategy is employed to ensure resilience against potentially stochastic variations in the observer gain. A simplified adaptive event-triggered communication mechanism with a threshold that can be dynamically adjusted online is proposed to mitigate the network transmission pressure and reduce the energy consumption. A new definition of the stochastic quadratic boundedness employing multiple Lyapunov functions is proposed to concurrently determine the observer and event generator parameters. Resorting to this definition guarantees the stochastically quadratic boundedness and the stability of the estimation error systems. The codesign of the desired observer and event generator parameters is accomplished using slack-variable and convex optimization techniques. Further, the corresponding upper bounds on the estimation errors are explicitly provided. The feasibility and the superiority of the proposed method are validated through a continuously stirred tank reactor system and a tunnel diode circuit model.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China, under Grant Nos. 61973135, 62273021 and 91948201, the Beijing Natural Science Foundation under Grant 4232047, the Shandong Provincial Natural Science Foundation, China, under Grant no. ZR2022MF296, and a Project of Shandong Province Higher Educational Youth and Innovation Talent Introduction and Education Program.

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Authors and Affiliations

  1. School of Electrical Engineering, University of Jinan, Jinan, 250022, China

    Yueyang Li & Ming Yuan

  2. IBISC, Université Paris-Saclay, Univ Evry, 91020, Evry, France

    Mohammed Chadli

  3. School of Cyber Science and Technology, Beihang University, Beijing, 100191, China

    Dong Zhao

  4. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, 100029, China

    Youqing Wang

  5. School of Control Science and Engineering, Shandong University, Jinan, 250061, China

    Shuai Liu

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  1. Yueyang Li
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  2. Ming Yuan
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  3. Mohammed Chadli
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  4. Dong Zhao
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  5. Youqing Wang
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  6. Shuai Liu
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Correspondence to Dong Zhao.

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Li, Y., Yuan, M., Chadli, M. et al. Codesign of adaptive event generator and nonfragile observer for nonlinear systems with bounded disturbances based on interval type-2 T–S fuzzy models. Nonlinear Dyn 112, 507–523 (2024). https://doi.org/10.1007/s11071-023-09066-6

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  • DOI: https://doi.org/10.1007/s11071-023-09066-6

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