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Adaptive Intelligent Sliding Mode Control of a Dynamic System with a Long Short-Term Memory Structure

Author

Listed:
  • Lunhaojie Liu

    (College of IoT Engineering, Hohai University, Changzhou 213022, China)

  • Wen Fu

    (College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China)

  • Xingao Bian

    (College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China)

  • Juntao Fei

    (College of IoT Engineering, Hohai University, Changzhou 213022, China
    College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China
    Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, Changzhou 213022, China)

Abstract

In this work, a novel fuzzy neural network (NFNN) with a long short-term memory (LSTM) structure was derived and an adaptive sliding mode controller, using NFNN (ASMC-NFNN), was developed for a class of nonlinear systems. Aimed at the unknown uncertainties in nonlinear systems, an NFNN was designed to estimate unknown uncertainties, which combined the advantages of fuzzy systems and neural networks, and also introduced a special LSTM recursive structure. The special three gating units in the LSTM structure enabled it to have selective forgetting and memory mechanisms, which could make full use of historical information, and have a stronger ability to learn and estimate unknown uncertainties than general recurrent neural networks. The Lyapunov stability rule guaranteed the parameter convergence of the neural network and system stability. Finally, research into a simulation of an active power filter system showed that the proposed new algorithm had better static and dynamic properties and robustness compared with a sliding controller that uses a recurrent fuzzy neural network (RFNN).

Suggested Citation

  • Lunhaojie Liu & Wen Fu & Xingao Bian & Juntao Fei, 2022. "Adaptive Intelligent Sliding Mode Control of a Dynamic System with a Long Short-Term Memory Structure," Mathematics, MDPI, vol. 10(7), pages 1-23, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1197-:d:787934
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