Topological conditions for wireless control networks
Topological conditions for wireless control networks
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DOI：
10.1109/cdc.2011.6161347
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
Miroslav Pajic;S. Sundaram;George Pappas;Rahul Mangharam
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文献类型：
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作者：
Miroslav Pajic;S. Sundaram;George Pappas;Rahul Mangharam
研究了无线控制网络上线性系统的镇定问题。我们提出了一个方案，每个无线节点保持一个标量状态，并定期更新它作为相邻的植物输出和节点状态的线性组合。我们连接到分散的固定模式和结构化系统理论，以提供网络拓扑结构的条件，使系统稳定。我们的分析提供了最小数量的反馈边缘，必须引入稳定的系统在网络上，并表明，只要网络的连通性是大于任何不稳定的特征值的几何多重性，稳定控制器可以在每个执行器构建。我们分析的副产品是，通过与控制器共同设计网络动态，网络中的延迟不是稳定系统的因素。
We study the problem of stabilizing a linear system over a wireless control network. We propose a scheme where each wireless node maintains a scalar state, and periodically updates it as a linear combination of neighboring plant outputs and node states. We make connections to decentralized fixed modes and structured system theory to provide conditions on the network topology that allow the system to be stabilized. Our analysis provides the minimal number of feedback edges that have to be introduced to stabilize the system over a network, and shows that as long as the network connectivity is larger than the geometric multiplicity of any unstable eigenvalue, stabilizing controllers can be constructed at each actuator. A byproduct of our analysis is that by co-designing the network dynamics with the controllers, delays in the network are not a factor in stabilizing the system.