Disturbance rejection approaches of Korteweg–de Vries-Burgers equation under event-triggering mechanism

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Automatica Pub Date : 2024-08-19 DOI:10.1016/j.automatica.2024.111844

引用次数: 0

Abstract

In this paper, disturbance rejection approaches are suggested to stabilize Korteweg–de Vries–Burgers (KdVB) equation under the averaged measurements. Here two approaches—active disturbance rejection control (ADRC) and disturbance observer-based control (DOBC), are introduced to reject the external unknown disturbance actively. The main challenging issue is to design the effective extended state observer (ESO)/disturbance observer (DO) for KdVB equation respectively. As for ADRC strategy, the disturbance is rejected on the basis of an ESO. As for DOBC strategy, a DO is constructed to estimate the disturbance formulated by an exogenous system. Continuous-time and event-triggered anti-disturbance controllers are further presented for distributed stabilization of KdVB system. To significantly reduce the amount of control updates, an event-triggering mechanism is utilized and the Zeno behaviour is avoided. Sufficient stability conditions are established via Lyapunov functional method. The effectiveness of proposed approaches is verified by simulation results.

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事件触发机制下 Korteweg-de Vries-Burgers 方程的扰动抑制方法

本文提出了干扰抑制方法，以稳定平均测量下的 Korteweg-de Vries-Burgers (KdVB) 方程。本文引入了两种方法--主动扰动抑制控制（ADRC）和基于扰动观测器的控制（DOBC）来主动抑制外部未知扰动。主要的挑战在于分别为 KdVB 方程设计有效的扩展状态观测器（ESO）/扰动观测器（DO）。对于 ADRC 策略，扰动是在 ESO 的基础上被剔除的。至于 DOBC 策略，则是构建一个 DO 来估计由外生系统构成的扰动。针对 KdVB 系统的分布式稳定，进一步提出了连续时间和事件触发抗干扰控制器。为了大幅减少控制更新量，采用了事件触发机制，并避免了 Zeno 行为。通过 Lyapunov 函数方法建立了充分的稳定性条件。仿真结果验证了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.

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