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After exploring event-triggered control strategies for the KdV equation in Chap. 4, we shift our focus in Chapter 5 to the stabilization of the KdVB equation, particularly in the presence of external disturbances. Two approaches, active disturbance rejection control (ADRC) and disturbance observer-based control (DOBC), are introduced. The challenge lies in designing an effective extended state observer (ESO) for ADRC and a disturbance observer (DO) for DOBC. Both continuous-time and event-triggered anti-disturbance controllers are presented, incorporating event-triggering mechanisms to reduce control updates. The Lyapunov functional method is used to establish sufficient stability conditions for the closed-loop system.

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Disturbance Rejection of PDE Systems

  • 章节

  • 发表日期：

    2025年

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  • Wen Kang,
  • Emilia Fridman

摘要

After exploring event-triggered control strategies for the KdV equation in Chap. 4, we shift our focus in Chapter 5 to the stabilization of the KdVB equation, particularly in the presence of external disturbances. Two approaches, active disturbance rejection control (ADRC) and disturbance observer-based control (DOBC), are introduced. The challenge lies in designing an effective extended state observer (ESO) for ADRC and a disturbance observer (DO) for DOBC. Both continuous-time and event-triggered anti-disturbance controllers are presented, incorporating event-triggering mechanisms to reduce control updates. The Lyapunov functional method is used to establish sufficient stability conditions for the closed-loop system.