Stability of quantized control systems under dynamic bit assignment
- 16 May 2005
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 50 (5) , 734-740
- https://doi.org/10.1109/tac.2005.847044
Abstract
In recent years, there have been several papers characterizing the minimum number of quantization levels required to assure closed-loop stability. This minimum bit rate is usually achieved through time-varying quantization policies. Many networks, however, prefer a constant bit rate configuration, so it is useful to characterize the stability of quantized feedback systems under constant bit rate quantization. This note first derives a lower bound on the number of quantization levels required for closed-loop stability under constant bit rates. We then introduce a novel dynamic bit allocation policy that achieves this bound.Keywords
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