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Dynamic logarithmic state and control quantization for continuous-time linear systems

Published online by Cambridge University Press:  07 January 2022

Jiashuo Wang ,
Shuo Pan  and
Zhiyu Xi Open the ORCID record for Zhiyu Xi [Opens in a new window]
Jiashuo Wang
Affiliation:
Rail Transit Technology Institute of CRSC (Beijing) Industry Group Co., Ltd., Beihang, China
Shuo Pan
Affiliation:
School of Automation Science and Electrical Engineering, Beihang University, Beijing, China
Zhiyu Xi*
Affiliation:
School of Automation Science and Electrical Engineering, Beihang University, Beijing, China
*
*Corresponding author. E-mail: z.xi@buaa.edu.cn
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Abstract

This paper addresses logarithmic quantizers with dynamic sensitivity design for continuous-time linear systems with a quantized feedback control law. The dynamics of state quantization and control quantization sensitivities during “zoom-in”/“zoom-out” stages are proposed. Dwell times of the dynamic sensitivities are co-designed. It is shown that with the proposed algorithm, a single-input continuous-time linear system can be stabilized by quantized feedback control via adopting sensitivity varying algorithm under certain assumptions. Also, the advantage of logarithmic quantization is sustained while achieving stability. Simulation results are provided to verify the theoretical analysis.

Keywords

logarithmic quantizersaturationfeedback stabilizationlinear systemsdynamic sensitivity
Type
Research Article
Information
Robotica , Volume 40 , Issue 7 , July 2022 , pp. 2215 - 2230
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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