Feedback stabilization over signal-to-noise ratio constrained channels
Feedback stabilization over signal-to-noise ratio constrained channels
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DOI：
10.23919/acc.2004.1384626
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
J. Braslavsky;R. Middleton;J. Freudenberg
中科院分区：
文献类型：
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作者：
J. Braslavsky;R. Middleton;J. Freudenberg
最近有显着的兴趣反馈稳定问题的通信信道，包括几个比特率有限的反馈。出于考虑这样的比特率限制的一个来源，我们研究了信号噪声比（SNR）约束信道的稳定问题。我们讨论了连续和离散时间的情况下，并表明，无论是状态反馈，或输出反馈无延迟，最小相位植物，有能力稳定一个不稳定的植物在SNR约束的信道上的限制。这些限制实际上精确地匹配那些可能已经通过考虑相同信道上的相关联的理想香农容量比特率而推断出的限制。
There has recently been significant interest in feedback stabilization problems over communication channels, including several with bit rate limited feedback. Motivated by considering one source of such bit rate limits, we study the problem of stabilization over a signal-to-noise ratio (SNR) constrained channel. We discuss both continuous and discrete time cases, and show that for either state feedback, or for output feedback delay-free, minimum phase plants, there are limitations on the ability to stabilize an unstable plant over an SNR constrained channel. These limitations in fact match precisely those that might have been inferred by considering the associated ideal Shannon capacity bit rate over the same channel.