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Quantized-Feedback-Based Adaptive Event-Triggered Control of a Class of Uncertain Nonlinear Systems

Author

Listed:
  • Yun Ho Choi

    (School of Electrical and Electronics Engineering, Chung-Ang University, 84 Heukseok-Ro, Dongjak-Gu, Seoul 06974, Korea)

  • Sung Jin Yoo

    (School of Electrical and Electronics Engineering, Chung-Ang University, 84 Heukseok-Ro, Dongjak-Gu, Seoul 06974, Korea)

Abstract

A quantized-feedback-based adaptive event-triggered tracking problem is investigated for strict-feedback nonlinear systems with unknown nonlinearities and external disturbances. All state variables are quantized through a uniform quantizer and the quantized states are only measurable for the control design. An approximation-based adaptive event-triggered control strategy using quantized states is presented. Compared with the existing recursive quantized feedback control results, the primary contributions of the proposed strategy are (1) to derive a quantized-states-based function approximation mechanism for compensating for unknown and unmatched nonlinearities and (2) to design a quantized-states-based event triggering law for the intermittent update of the control signal. A Lyapunov-based stability analysis is provided to conclude that closed-loop signals are uniformly ultimately bounded and there exists a minimum inter-event time for excluding Zeno behavior. In simulation results, it is shown that the proposed quantized-feedback-based event-triggered control law can be implemented with less than 10% of the total sample data of the existing quantized-feedback continuous control law.

Suggested Citation

  • Yun Ho Choi & Sung Jin Yoo, 2020. "Quantized-Feedback-Based Adaptive Event-Triggered Control of a Class of Uncertain Nonlinear Systems," Mathematics, MDPI, vol. 8(9), pages 1-19, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1603-:d:414967
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    Citations

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    Cited by:

    1. Sung Jin Yoo, 2021. "Adaptive State-Quantized Control of Uncertain Lower-Triangular Nonlinear Systems with Input Delay," Mathematics, MDPI, vol. 9(7), pages 1-14, April.
    2. Yuwen Dong & Shuai Song & Xiaona Song & Inés Tejado, 2024. "Observer-Based Adaptive Fuzzy Quantized Control for Fractional-Order Nonlinear Time-Delay Systems with Unknown Control Gains," Mathematics, MDPI, vol. 12(2), pages 1-24, January.

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