Distributed control of linear time‐varying systems interconnected over arbitrary graphs
Distributed control of linear time‐varying systems interconnected over arbitrary graphs
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DOI：
10.1002/rnc.3081
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发表时间：
2015-01
影响因子：
3.9
通讯作者：
M. Farhood;Zhe Di;G. Dullerud
中科院分区：
文献类型：
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作者：
M. Farhood;Zhe Di;G. Dullerud
在这篇文章中，我们着重于在控制器感知和执行拓扑继承自对象的情况下，为互联系统设计分布式控制器。所考虑的分布式系统是由任意图结构上相互连接的离散时间线性时变子系统组成的。本文的主要贡献是给出了图的潜在顶点数为无穷多的一般图的互连结构的结果。这是通过首先扩展为在晶格Zn上具有空间动力学的系统开发的先前的机器来实现的。在这种情况下，我们得到了设计的凸性分析和综合条件。当最终周期子系统在有限图上互连时，这些条件归结为LMI的有限序列。文中还给出了具有通信延迟的分布式系统的结果，并给出了气垫船沿最终周期轨迹的分布式控制的例子。这里开发的方法为我们以前和相关的分布式控制工作提供了一个统一的观点。版权所有©2013 John Wiley&Sons，Ltd.
In this paper, we focus on designing distributed controllers for interconnected systems in situations where the controller sensing and actuation topology is inherited from that of the plant. The distributed systems considered are composed of discrete‐time linear time‐varying subsystems interconnected over arbitrary graph structures. The main contribution of this paper is to provide results on general graph interconnection structures in which the graphs have potentially an infinite number of vertices. This is accomplished by first extending previous machinery developed for systems with spatial dynamics on the lattice Zn . We derive convex analysis and synthesis conditions for design in this setting. These conditions reduce to finite sequences of LMIs in the case of eventually periodic subsystems interconnected over finite graphs. The paper also provides results on distributed systems with communication latency and gives an illustrative example on the distributed control of hovercrafts along eventually periodic trajectories. The methodology developed here provides a unifying viewpoint for our previous and related work on distributed control. Copyright © 2013 John Wiley & Sons, Ltd.