Robust distributed synchronization of networked linear systems with intermittent information
Robust distributed synchronization of networked linear systems with intermittent information
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DOI：
10.1016/j.automatica.2019.03.020
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发表时间：
2019-07
期刊：
影响因子：
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通讯作者：
S. Phillips;R. Sanfelice
中科院分区：
文献类型：
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作者：
S. Phillips;R. Sanfelice
研究了具有异步和间歇通信事件的多个线性定常系统的同步问题。为了解决这个问题，我们提出了一个控制器与混合动力学，即，控制器利用信息传输到它在离散的通信事件，并表现出连续的动态之间的事件。由于互联网络系统和通信结构所固有的附加连续和离散动态，我们使用混合系统框架来建模和分析闭环系统。同步问题，然后重铸为一个集的稳定性问题，并采用混合动力系统的李雅普诺夫稳定性工具，同步集的渐近稳定的充分条件。此外，我们还证明了同步的性质对扰动是鲁棒的。数值例子说明的主要结果。
The problem of synchronization of multiple linear time-invariant systems connected over a network with asynchronous and intermittently available communication events is studied. To solve this problem, we propose a controller with hybrid dynamics, namely, the controller utilizes information transmitted to it during discrete communication events and exhibits continuous dynamics between such events. Due to the additional continuous and discrete dynamics inherent to the interconnected networked systems and communication structure, we use a hybrid systems framework to model and analyze the closed-loop system. The problem of synchronization is then recast as a set stabilization problem and, by employing Lyapunov stability tools for hybrid systems, sufficient conditions for asymptotic stability of the synchronization set are provided. Furthermore, we show that the property of synchronization is robust to perturbations. Numerical examples illustrating the main results are included.