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Echo State Network-Based Adaptive Event-Triggered Control for Stochastic Nonaffine Systems with Actuator Hysteresis

Author

Listed:
  • Shuxian Lun

    (School of Control Science and Engineering, Bohai University, Jinzhou 121013, China
    These authors contributed equally to this work.)

  • Zhenkai Qin

    (School of Control Science and Engineering, Bohai University, Jinzhou 121013, China
    These authors contributed equally to this work.)

  • Xiaodong Lu

    (School of Information Engineering, Suqian University, Suqian 223800, China)

  • Ming Li

    (School of Control Science and Engineering, Bohai University, Jinzhou 121013, China)

  • Tianping Tao

    (Combat Support College, Rocket Army Engineering University, Xi’an 710025, China)

Abstract

This paper studies the problem of the event-triggered control of nonaffine stochastic nonlinear systems with actuator hysteresis. The echo state network (ESN) is introduced to approximate an unknown nonlinear function. The command filtering technology is used to avoid the derivation of the virtual controller in the controller design process and tries to solve the problem of complexity explosion in the traditional method. Based on Lyapunov’s finite-time stability theory, the proposed method verifies the stability of non-affine stochastic nonlinear systems. It is proved that the proposed controller method can guarantee that all of the signals in the closed-loop system are bounded, and the tracking error can converge to a minimal neighborhood of zero even if there exists an actuator hysteresis. The effectiveness of the proposed method is demonstrated by the simulation example. The simulation results show that the proposed method is effective.

Suggested Citation

  • Shuxian Lun & Zhenkai Qin & Xiaodong Lu & Ming Li & Tianping Tao, 2023. "Echo State Network-Based Adaptive Event-Triggered Control for Stochastic Nonaffine Systems with Actuator Hysteresis," Mathematics, MDPI, vol. 11(8), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1884-:d:1124616
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    References listed on IDEAS

    as
    1. Xiaonan Xia & Tianping Zhang, 2015. "Adaptive Neural Output Feedback Control of Stochastic Nonlinear Systems with Unmodeled Dynamics," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, July.
    2. Xin-Yu Ouyang & Li-Bing Wu & Nan-Nan Zhao & Chuang Gao, 2020. "Event-triggered adaptive prescribed performance control for a class of pure-feedback stochastic nonlinear systems with input saturation constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(12), pages 2238-2257, September.
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