Optimal tracking performance of MIMO control systems with communication constraints and a code scheme

Optimal tracking performance of MIMO control systems with communication constraints and a code scheme
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具有通信约束和编码方案的 MIMO 控制系统的最佳跟踪性能

DOI:
10.1080/00207721.2013.784822
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发表时间:
2015-02
影响因子:
4.3
通讯作者:
Fu-Shun Yuan
Fu-Shun Yuan
中科院分区:
计算机科学4区
文献类型:
--
作者:
Xi-Sheng Zhan;Zhi-Hong Guan;Xian-He Zhang;Fu-Shun Yuan

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研究了功率受限的多输入多输出线性定常连续时间系统的最优跟踪性能问题。误差信号和输入通道信号的H2准则被用作跟踪性能的度量。引入了一种编码方案,将控制器和信道设计结合起来,以获得最佳的跟踪性能。结果表明,最优跟踪性能指标由两部分组成,一部分取决于给定对象的非最小相位零点和零点方向以及参考输入信号,另一部分取决于给定对象的不稳定极点和极点方向,以及通信信道的带宽和加性白噪声。当通信不存在时,最优跟踪性能下降到控制系统现有的正常跟踪性能。结果表明,最优跟踪性能如何受到通信信道带宽和加性白噪声的限制。给出了一个典型的算例来说明理论结果。
This paper investigates the issue of the optimal tracking performance for multiple-input multiple-output linear time-invariant continuous-time systems with power constrained. An H2 criterion of the error signal and the signal of the input channel are used as a measure for the tracking performance. A code scheme is introduced as a means of integrating controller and channel design to obtain the optimal tracking performance. It is shown that the optimal tracking performance index consists of two parts, one depends on the non-minimum phase zeros and zero direction of the given plant, as well as the reference input signal, while the other depends on the unstable poles and pole direction of the given plant, as well as on the bandwidth and additive white noise of a communication channel. It is also shown that when the communication does not exist, the optimal tracking performance reduces to the existing normal tracking performance of the control system. The results show how the optimal tracking performance is limited by the bandwidth and additive white noise of the communication channel. A typical example is given to illustrate the theoretical results.
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