Distributed Design Methods for Linear Quadratic Control and Their Limitations
Distributed Design Methods for Linear Quadratic Control and Their Limitations
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线性二次控制的分布式设计方法及其局限性
DOI：
10.1109/tac.2010.2044270
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发表时间：
2010
影响因子：
6.8
通讯作者：
J. Delvenne
中科院分区：
文献类型：
--
作者：
Cédric Langbort;J. Delvenne
我们介绍了分布式设计方法的概念，该方法通过以约束方式访问植物的描述来构建控制器。我们提出了这些设计方法的性能和信息指标，并研究了他们可以生产的最佳控制器的闭环性能与植物交换信息的量之间的联系。对于一类线性离散时间，时间不变的植物，我们表明，任何无通信的分布式控制方法都会导致控制器的性能至少是最差案例中最佳的两倍。然后，我们对击败最佳无通信设计策略所需的最少交换信息进行了限制。我们还表明，在连续的时间工厂的情况下，通过无沟通设计策略构建的控制器的最差案例是无限的。
We introduce the notion of distributed design methods, which construct controllers by accessing a plant's description in a constrained manner. We propose performance and information metrics for these design methods, and investigate the connection between closed-loop performance of the best controller they can produce and the amount of exchanged information about the plant. For a class of linear discrete-time, time invariant plants, we show that any communication-less distributed control method results in controllers whose performance is, at least, twice the optimal in the worst-case. We then give a bound on the minimal amount of exchanged information necessary to beat the best communication-less design strategy. We also show that, in the case of continuous-time plants, the worst-case performance of controllers constructed by communication-less design strategies is unbounded.