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Observer-Based Fuzzy Fault-Tolerant Control for Nonlinear Parabolic PDEs

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Abstract

This paper investigates fault-tolerant control design for a class of nonlinear parabolic distributed parameter systems (DPSs) with actuator faults. Under the averaged measurements, an observer-based fuzzy fault-tolerant control law is constructed. Sufficient conditions in terms of bilinear matrix inequalities conditions are derived to ensure internal exponential stability and disturbance attenuation performance of system simultaneously by using Lyapunov–Krasovskii method. An iterative optimization algorithm is proposed to find feasible solutions. An example is given to illustrate the efficiency of main results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61873028, 61803026), Fundamental Research Funds for the Central Universities (Grant Nos. FRF-TP-18-001B1, FRF-TP-18-032A1, FRF-TP-19-034A1), and China Postdoctoral Science Foundation (Grant Nos. 2018M640065, 2019T120047).

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Authors and Affiliations

  1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, People’s Republic of China

    Shan Li, Wen Kang & Da-Wei Ding

  2. Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing, 100083, China

    Wen Kang & Da-Wei Ding

Authors
  1. Shan Li
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  2. Wen Kang
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  3. Da-Wei Ding
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Correspondence to Da-Wei Ding.

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Li, S., Kang, W. & Ding, DW. Observer-Based Fuzzy Fault-Tolerant Control for Nonlinear Parabolic PDEs. Int. J. Fuzzy Syst. 22, 111–121 (2020). https://doi.org/10.1007/s40815-019-00778-9

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