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Attainability of the minimum data rate for stabilization of linear systems via logarithmic quantization. (English) Zbl 1209.93125

Summary: This paper investigates the attainability of the minimum average data rate for stabilization of linear systems via logarithmic quantization. It is shown that a finite-level logarithmic quantizer is sufficient to approach the well-known minimum average data rate for stabilizing an unstable linear discrete-time system under two basic network configurations. In particular, we derive explicit finite-level logarithmic quantizers and the corresponding controllers to approach the minimum average data rate.

MSC:

93D15 Stabilization of systems by feedback
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
93B52 Feedback control
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