This paper is concerned with the consensus of multiple Euler-Lagrange systems with time-varying sampled-data control. Different from traditional sampled-data strategies, a time-varying sampled-data strategy is developed to realize the consensus of multiple Euler-lagrange systems, in which a function that can be distinct at different sampling instants is proposed to modulate the sampling interval. In addition, a new definition of average sampling interval, which is parallel to the average dwell time in switching control or average impulsive interval in impulsive control, is proposed to characterize the number of the updating of the sampling controller during some certain interval. The proposed average sampling interval makes our sampled-data strategy more suitable for a wide range of sampling signals. By utilizing the comparison principle, a sufficient criterion is obtained to guarantee the consensus of multiple Euler-Lagrange systems. The sufficient criterion is heavily dependent on the actual control duration time and the communication graph. Finally, a simulation example is presented to verify the applicability of the proposed results.

中文翻译：

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时变采样数据控制下网络化Euler__agrange系统的一致性


本文关注的是具有时变采样数据控制的多个欧拉-拉格朗日系统的一致性。与传统的采样数据策略不同，时变采样数据策略旨在实现多个欧拉-拉格朗日系统的一致性，其中提出了一个在不同采样时刻可以不同的函数来调制采样间隔。此外，提出了平均采样间隔的新定义，它与开关控制中的平均驻留时间或脉冲控制中的平均脉冲间隔平行，用来表征采样控制器在一定间隔内的更新次数。所提出的平均采样间隔使我们的采样数据策略更适合各种采样信号。利用比较原理，获得了充分的准则来保证多个欧拉-拉格朗日系统的一致性。充分标准很大程度上取决于实际控制持续时间和通信图。最后，给出了一个仿真例子来验证所提出结果的适用性。