动态曲面控制全局稳定性的非对称Lyapunov函数设计

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-08-23 DOI:10.1016/j.automatica.2025.112544

Bing Mao , Ziye Fan , Xiaoqun Wu , Jinhu Lü

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引用次数: 0

摘要

为了解决动态曲面控制中的半全局稳定性和有界收敛问题，提出了一类非对称Lyapunov函数。这些非对称函数具有非零导数，可以完全消除动态曲面控制带来的曲面误差，从而实现全局稳定性和精确跟踪。研究了无不确定性和有不确定性严格反馈系统的控制设计，证明了该方法和方案在参数估计下的鲁棒性。通过数值仿真和与标准和先进动态表面控制器的比较，验证了所提结果的有效性。

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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Design of asymmetric Lyapunov functions for global stability in dynamic surface control

To address the problem of semi-global stability and bounded convergence in dynamic surface control, a class of asymmetric Lyapunov functions is proposed. These asymmetric functions possess nonzero derivatives, enabling the complete elimination of the surface error introduced by dynamic surface control, thus achieving global stability and exact tracking. The control designs for strict-feedback systems without and with uncertainties are investigated, demonstrating the robustness of the method and the scheme under parameter estimation. Numerical simulations and comparisons with the standard and advanced dynamic surface controllers are provided to verify the effectiveness of the proposed results.

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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.