Stabilizability of SISO control systems under constraints of channel capacities
Stabilizability of SISO control systems under constraints of channel capacities
复制标题
通道容量约束下SISO控制系统的稳定性
DOI：
10.1109/cdc.2003.1272559
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
J. Maciejowski
中科院分区：
文献类型：
--
作者：
K. Tsumura;J. Maciejowski
本文研究了被控对象和控制器与信号传输通道相连的控制系统，分析了在通道容量约束下的可镇定性。证明了在一定的渐近条件下，该问题可以用系统的一类熵的最小化问题来解决，并且系统的可镇定性可以用系统的不稳定极点和真实的零点来表示.这个结果对应于波德定理的一个综合版本和植物的强稳定性的一个扩展版本。给出了最优控制器的设计方法。
In this paper, we deal with control systems where plants and controllers are connected with transmission channels of signals, and analyze their stabilizability under the constraints of the channel capacity. We show that this problem is resolved with a minimization problem of a kind of entropy of the related systems under some asymptotic conditions, and the stabilizability can be represented by the unstable poles and real zeros of the plants. This result corresponds to a synthesis version of Bode's theorem and an extended version of the strong stabilizability of plants. We also show a design method of the optimal controller.