An optimal controller architecture for poset-causal systems
An optimal controller architecture for poset-causal systems
复制标题
偏序集因果系统的最优控制器架构
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
P. Parrilo
中科院分区：
文献类型：
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作者：
P. Shah;P. Parrilo
我们提出了一种新的和自然的架构分散控制，这是适用于底层系统具有偏序集（偏序集）的结构。该控制器结构基于偏序集的莫比乌斯变换，具有简单而吸引人的分离特性，因为闭环动态可以根据解耦的子系统进行分析。控制器的结构提供了丰富和有趣的概念之间的联系，从序理论，如莫比乌斯反演和控制理论的概念，如状态预测，校正和可分性。此外，使用我们以前的结果，对任意偏序集的最优分散控制，我们证明，最优控制器实际上具有所提出的结构，从而建立新的控制器结构的最优性。
We propose a novel and natural architecture for decentralized control, that is applicable whenever the underlying system has the structure of a partially ordered set (poset). This controller architecture is based on the Möbius transform of the poset, and enjoys simple and appealing separation properties, since the closed-loop dynamics can be analyzed in terms of decoupled subsystems. The controller structure provides rich and interesting connections between concepts from order theory such as Möbius inversion and control-theoretic concepts such as state prediction, correction, and separability. In addition, using our earlier results on ℌ2-optimal decentralized control for arbitrary posets, we prove that the ℌ2-optimal controller in fact possesses the proposed structure, thereby establishing the optimality of the new controller architecture.