A heuristic for sub-optimal ℌ2 decentralized control subject to delay in non-quadratically-invariant systems
A heuristic for sub-optimal ℌ2 decentralized control subject to delay in non-quadratically-invariant systems
复制标题
非二次不变系统中受延迟影响的次优 ℌ2 分散控制的启发式方法
DOI：
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发表时间：
2013
期刊：
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通讯作者：
J. Doyle
中科院分区：
文献类型：
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作者：
N. Matni;J. Doyle
受智能电网潜在应用的启发，我们开发了一种启发式的次优，但可以接受的，非二次不变（非QI）延迟模式的分散系统的控制。我们这样做，利用最近开发的解决方案分散H2模型匹配问题的延迟，它分解成一个集中的控制器，但延迟，组件和分散的FIR组件。特别是，我们提出了一个迭代过程，利用这种分解来设计一个次优分散H2控制器的非QI系统，保证先验是稳定的，并执行不差于控制器计算的非QI约束集的QI子集。然后，我们将此过程应用到智能电网的频率调节问题。
Inspired by potential applications to the smart grid, we develop a heuristic for sub-optimal, but acceptable, control of decentralized systems subject to non-quadratically invariant (non-QI) delay patterns. We do so by exploiting a recently developed solution to the decentralized H2 model matching problem subject to delays, which decomposes the controller into a centralized, but delayed, component and a decentralized FIR component. In particular, we present an iterative procedure that exploits this decomposition to design a sub-optimal decentralized H2 controller for non-QI systems that is guaranteed a priori to be stable, and to perform no worse than a controller computed with respect to a QI subset of the non-QI constraint set. We then apply this procedure to a smart-grid frequency regulation problem.