Predefined-Time Synchronization of Kuramoto-Oscillator Networks: Chattering-Free Control Protocols

IF 4 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Transactions on Control of Network Systems Pub Date : 2024-10-30 DOI:10.1109/TCNS.2024.3488561

Jie Wu;Xiaofeng Wang;Yongzheng Sun;Xiaoli Luan;Guanghui Wen

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引用次数: 0

Abstract

This article investigates the issues of predefined-time global phase agreement (PA) and frequency synchronization (FS) for both identical and nonidentical coupled Kuramoto oscillators by developing distributed chattering-free control protocols. Unlike traditional finite-/fixed-time convergence, the upper bounds of settling time for achieving the predefined-time PA and FS are explicit constants, which are tunable and set beforehand without depending on the network information, initial conditions, and controlling parameters. In particular, the proposed control protocols are differentiable, namely, chattering-free, which do not comprise the conventional discontinuous absolute value and/or signum functions anymore. Therefore, the undesirable chattering problem is effectively overcome. Then, in the light of the second Lyapunov method, the sufficient conditions are deduced for guaranteeing the predefined-time global PA and FS of Kuramoto-oscillator networks accordingly. Finally, the numerical results validate the effectiveness of the proposed chattering-free control schemes.

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本文通过开发分布式无颤振控制协议，研究了相同和非相同耦合仓本振荡器的预定时间全局相位一致（PA）和频率同步（FS）问题。与传统的有限/固定时间收敛不同，实现预定时间 PA 和 FS 的沉降时间上限是显式常数，可事先调整和设定，而不依赖于网络信息、初始条件和控制参数。特别是，所提出的控制协议是可微分的，即无颤振，不再包含传统的不连续绝对值和/或符号函数。因此，有效克服了不可取的颤振问题。然后，根据第二Lyapunov方法，相应地推导出了保证Kuramoto-振子网络预定时间全局PA和FS的充分条件。最后，数值结果验证了所提出的无颤振控制方案的有效性。

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

IEEE Transactions on Control of Network Systems Mathematics-Control and Optimization

CiteScore

7.80

自引率

7.10%

发文量

169

期刊介绍： The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.