NDLI: LQG control with fixed-rate uniform quantization for SISO systems

Content Provider	IEEE Xplore Digital Library
Author	Li Chai Minyue Fu
Copyright Year	2012
Description	Author affiliation: Department of Control Science and Engineering Zhejiang University, Hangzhou 310027, China (Minyue Fu) \|\| School of Information Science and Engineering Wuhan University of Science and Technology, Wuhan 430081, China (Li Chai)
Abstract	This paper considers the quantized infinite-horizon LQG control system, of which the measurement signal is quantized by a fixed-rate quantizer before going into the controller. It turns out that only weak separation principle holds for the LQG control system with communication channels. We study the problem of quantized LQG for a single-input-single-output (SISO) system. An adaptive fixed-rate quantizer is designed to achieve the mean-square stability and the optimal distortion performance. For a quantizer with a fixed bit rate of R (per sample), we show that the quantization distortion order is $R2^{−2R}$ for a large R. Simulation examples are given to demonstrate the effectiveness of the proposed methods.
Starting Page	5873
Ending Page	5877
File Size	274688
Page Count	5
File Format	PDF
ISBN	9781467325813
ISSN	21612927
e-ISBN	9789881563811
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Chinese Assoc of Automati
Subject Keyword	linear quadratic Gaussian control Continuous wavelet transforms Quantized feedback control Communication channels Quantization Cost function Control systems Educational institutions fixed-rate quantization Stability analysis uniform quantizer
Content Type	Text
Resource Type	Article

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