Decentralized LQG control of systems with a broadcast architecture
Decentralized LQG control of systems with a broadcast architecture
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具有广播架构的系统的分散式 LQG 控制
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发表时间：
2012
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通讯作者：
Laurent Lessard
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作者：
Laurent Lessard
在本文中，我们考虑在广播体系结构中相互连接的动态子系统。在广播输出的情况下，根节点可以影响多个叶节点，但叶节点不影响任何其他节点。每个子系统通过输出反馈进行局部控制，控制器可以根据与子系统之间动态耦合平行的结构进行通信。使用谱分解方法推导了最优控制器的显式状态空间实现。还根据最优状态估计器提供了控制器状态的解释。我们还解决了双广播的情况，其中有一个叶子节点受到多个根节点的影响。
In this paper, we consider dynamical subsystems interconnected in a broadcast architecture. In the broadcast-out case, the root node can affect several leaf nodes, but the leaf nodes do not affect any other nodes. Each subsystem is locally controlled via output feedback, and the controllers can communicate according to a structure that parallels the dynamic coupling between subsystems. Explicit state-space realizations for the optimal controllers are derived using a spectral factorization approach. An interpretation of the controller states is also provided in terms of optimal state estimators. We also address the dual broadcast-in case, where there is a single leaf node affected by multiple root nodes.