An L2-Consistent Data Transmission Sequence for Linear Systems
An L2-Consistent Data Transmission Sequence for Linear Systems
复制标题
线性系统的 L2 一致数据传输序列
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
W. Heemels
中科院分区：
文献类型：
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作者：
M. Balaghi I.;D. Antunes;W. Heemels
在本文中，我们解决的问题，选择一个稀疏的数据传输序列的网络控制系统，同时保证一定的${mathcal{L}_2}$-诱导范数界的外生干扰输入。作为这项工作的主要贡献，对于每一个周期性的传输序列，我们提供了一个传输序列的副本，非周期性的一般情况下，在更少或最多相同数量的传输的结果，同时仍然保证${mathcal {L}_2}$的控制策略与相同的${mathcal {L}_2}$-诱导的范数界的周期性传输策略。在这个意义上，所提出的传输序列被称为${mathcal{L}_2}$-一致的。此外，我们表明，作为地平线接近无穷大，建议的${mathcal{L}_2}$一致的传输序列对应的每个周期传输序列接近一个周期传输序列具有相等或更大的时间周期。
In this paper, we tackle the problem of selecting a sparse data transmission sequence for a networked control system while guaranteeing a certain ${mathcal{L}_2}$-induced norm bound with respect to an exogenous disturbance input. As the main contribution of this work, for every periodic transmission sequence, we provide a transmission sequence counterpart, aperiodic in general, that results in fewer or at most the same number of transmissions while still guaranteeing an ${mathcal{L}_2}$ control policy with the same ${mathcal{L}_2}$-induced norm bound as that of the periodic transmission policy. In this sense, the proposed transmission sequence is called ${mathcal{L}_2}$-consistent. Moreover, we show that as the horizon approaches infinity, the proposed ${mathcal{L}_2}$consistent transmission sequence counterpart of every periodic transmission sequence approaches a periodic transmission sequence with an equal or larger time period.