Optimal Controller Synthesis for Decentralized Systems Over Graphs via Spectral Factorization
Optimal Controller Synthesis for Decentralized Systems Over Graphs via Spectral Factorization
复制标题
通过谱因式分解图上分散系统的最优控制器综合
DOI：
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复制
发表时间：
2014
影响因子：
6.8
通讯作者：
S. Lall
中科院分区：
文献类型：
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作者：
John Swigart;S. Lall
本文研究了分散控制问题的控制器综合算法。这里考虑的分布式系统表示的图形，施加稀疏约束的一组允许的控制器。谱分解方法被用来构造最优分散控制器。显式的状态空间解决方案提供了这类系统，建立了最优策略的顺序。此外，这项工作提供了一个直观的理解的最佳解决方案。特别是，标准的分离原则并不适用于这些分散的问题，控制器必须做更多的不仅仅是简单地估计他们的状态。
In this paper, controller synthesis algorithms are developed for decentralized control problems. The distributed systems considered here are represented by graphs, which impose sparsity constraints on the set of allowable controllers. A spectral factorization approach is used to construct the optimal decentralized controllers. Explicit state-space solutions are provided for this class of systems, which establishes the order for the optimal policies. In addition, this work provides an intuitive understanding of the optimal solution. In particular, the standard separation principle does not hold for these decentralized problems, and the controllers must do more than simply estimate their states.