Quantization Analysis and Design

In Chap. 8 stability conditions for MB-NCS under popular quantization schemes are derived. The objective is to reduce the number of bits needed to transmit feedback measurements to stabilize uncertain systems. When using periodic updates within the MB-NCS framework there are two main parameters that affect the amount of data that is being transmitted, the update interval that dictates how often it is necessary to update the state of the model and the quantization parameter that defines the number of quantization levels and, consequently, the number of bits needed to represent every measurement. When using event-based updates there are also two design parameters that affect stability, the quantization parameter and the threshold value that is used to generate events.

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