Brief paper: Attainability of the minimum data rate for stabilization of linear systems via logarithmic quantization

Authors:
Keyou You;Weizhou Su;Minyue Fu;Lihua Xie
Affiliations:
School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore;School of Automation Science and Engineering, South China University of Technology, Guangzhou, China;Department of Control Science and Engineering, Zhejiang University, Hangzhou, China;School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore
Venue:
Automatica (Journal of IFAC)
Year:
2011

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Abstract

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 suffices 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.