具有饱和控制输入的分数阶脉冲切换系统的有限时间稳定问题

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Control Automation and Systems Pub Date : 2024-09-02 DOI:10.1007/s12555-022-1070-z

Yilin Shang, Leipo Liu, Wenbo Zhang, Zhumu Fu, Xiushan Cai, Weidong Zhang

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引用次数: 0

摘要

本文研究了具有饱和控制输入和匹配干扰的分数阶脉冲切换系统的有限时间稳定问题。饱和控制输入存在于连续时间间隔和脉冲时刻。利用平均停留时间方法、Lyapunov 稳定性理论和二项式定理，提出了保证闭环系统有限时间稳定性的充分条件。同时，控制器增益可通过求解线性矩阵不等式得到。此外，通过求解所提出的优化问题，可以得到最大的吸引域。最后，还提供了数值示例来说明所设计控制器的有效性。

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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Finite-time Stabilization of Fractional-order Impulsive Switched Systems With Saturated Control Input

This paper investigates the finite-time stabilization problem of fractional-order impulsive switched systems with saturated control input and matched disturbance. Saturated control input exists in the continuous time intervals as well as at the impulsive instants. By using the average dwell time approach, the Lyapunov stability theory and the binomial theorem, sufficient conditions are proposed to guarantee finite-time stability of the closed-loop system. Meanwhile, the controller gains can be got via solving linear matrix inequalities. In addition, the biggest attraction domain is obtained by solving the proposed optimization problem. Finally, numerical examples are provided to illustrate the effectiveness of the designed controller.

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来源期刊

International Journal of Control Automation and Systems 工程技术-自动化与控制系统

CiteScore

5.80

自引率

21.90%

发文量

343

审稿时长

8.7 months

期刊介绍： International Journal of Control, Automation and Systems is a joint publication of the Institute of Control, Robotics and Systems (ICROS) and the Korean Institute of Electrical Engineers (KIEE). The journal covers three closly-related research areas including control, automation, and systems. The technical areas include Control Theory Control Applications Robotics and Automation Intelligent and Information Systems The Journal addresses research areas focused on control, automation, and systems in electrical, mechanical, aerospace, chemical, and industrial engineering in order to create a strong synergy effect throughout the interdisciplinary research areas.