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Optimal Local and Remote Controllers With Unreliable Uplink Channels

机译:具有不可靠上行链路通道的最佳本地和远程控制器

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摘要

We consider a networked control system consisting of a remote controller and a collection of linear plants, each associated with a local controller. Each local controller directly observes the state of its colocated plant and can inform the remote controller of the plant's state through an unreliable uplink channel. We assume that the downlink channels from the remote controller to local controllers are perfect. The objective of the local controllers and the remote controller is to cooperatively minimize a quadratic performance cost. We provide a dynamic program for this decentralized control problem using the common information approach. Although our problem is not a partially nested problem, we obtain explicit optimal strategies for all controllers. In the optimal strategies, all controllers compute common estimates of the states of the plants based on the common information obtained from the communication network. The remote controller's action is linear in the common state estimates, and the action of each local controller is linear in both the actual state of its colocated plant and the common state estimates. We illustrate our results with numerical experiments using randomly generated models.
机译:我们考虑一个由远程控制器和一组线性工厂组成的网络控制系统,每个工厂都与一个本地控制器相关联。每个本地控制器都直接观察其并置工厂的状态,并可以通过不可靠的上行链路信道将工厂的状态通知给远程控制器。我们假设从遥控器到本地控制器的下行链路通道是完美的。本地控制器和远程控制器的目的是协作地最小化二次性能成本。我们使用通用信息方法为该分散控制问题提供了动态程序。尽管我们的问题不是部分嵌套的问题,但是我们为所有控制器获得了明确的最优策略。在最佳策略中,所有控制器都基于从通信网络获得的公共信息来计算工厂状态的公共估计值。遥控器的动作在公共状态估计中是线性的,而每个本地控制器的动作在其共置工厂的实际状态和公共状态估计中都是线性的。我们使用随机生成的模型通过数值实验说明了我们的结果。

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