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Rate limited stabilization: Sub-optimal encoder-decoder schemes
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DOI：10.1002/rnc.1415.png)
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Abstract
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We extend in this paper results from packet-based control theory and present sufficient conditions on the rate of a packet network to guarantee asymptotic stabilizability of unstable discrete LTI systems with less inputs than states. We use a truncation-based encoder/decoder scheme and two types of network control systems are considered in the absence of communication delays, then for one of the two types, the case of a constant time delay is discussed. For one of the network types, we also propose a zoom-in-type dynamic quantizer scheme with lower data rate but a more complex encoding scheme than the truncation-based one. The new dynamic quantizer requires a lower data rate to achieve stabilization, and while it does not achieve the minimum data rate Given by the Data Rate Theorem, it uses an encoding algorithm that is simpler than others reported in the literature. Copyright (C) 2009 John Wiley & Sons, Ltd.
Keywords:
limited data rates
networked controlled systems
quantization
linear systems
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