Parameters Design for Logarithmic Quantizer Based on Zoom Strategy

This paper is concerned with the problem of designing suitable parameters for logarithmic quantizer such that the closed-loop system is asymptotic convergent. Based on zoom strategy, we propose two methods for quantizer parameters design, under which it ensures that the state of the closed-loop syst...

Full description

Saved in:
Bibliographic Details
Main Author: Jingjing Yan
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2017/4028258
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850232058262061056
author Jingjing Yan
author_facet Jingjing Yan
author_sort Jingjing Yan
collection DOAJ
description This paper is concerned with the problem of designing suitable parameters for logarithmic quantizer such that the closed-loop system is asymptotic convergent. Based on zoom strategy, we propose two methods for quantizer parameters design, under which it ensures that the state of the closed-loop system can load in the invariant sets after some certain moments. Then we obtain that the quantizer is unsaturated, and thus the quantization errors are bounded under the time-varying logarithm quantization strategy. On that basis, we obtain that the closed-loop system is asymptotic convergent. A benchmark example is given to show the usefulness of the proposed methods, and the comparison results are illustrated.
format Article
id doaj-art-095c26e5fe6a4de78836a755fa6a7f39
institution OA Journals
issn 1687-5249
1687-5257
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-095c26e5fe6a4de78836a755fa6a7f392025-08-20T02:03:19ZengWileyJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/40282584028258Parameters Design for Logarithmic Quantizer Based on Zoom StrategyJingjing Yan0College of Electrical Engineering, Henan University of Technology, Zhengzhou 450052, ChinaThis paper is concerned with the problem of designing suitable parameters for logarithmic quantizer such that the closed-loop system is asymptotic convergent. Based on zoom strategy, we propose two methods for quantizer parameters design, under which it ensures that the state of the closed-loop system can load in the invariant sets after some certain moments. Then we obtain that the quantizer is unsaturated, and thus the quantization errors are bounded under the time-varying logarithm quantization strategy. On that basis, we obtain that the closed-loop system is asymptotic convergent. A benchmark example is given to show the usefulness of the proposed methods, and the comparison results are illustrated.http://dx.doi.org/10.1155/2017/4028258
spellingShingle Jingjing Yan
Parameters Design for Logarithmic Quantizer Based on Zoom Strategy
Journal of Control Science and Engineering
title Parameters Design for Logarithmic Quantizer Based on Zoom Strategy
title_full Parameters Design for Logarithmic Quantizer Based on Zoom Strategy
title_fullStr Parameters Design for Logarithmic Quantizer Based on Zoom Strategy
title_full_unstemmed Parameters Design for Logarithmic Quantizer Based on Zoom Strategy
title_short Parameters Design for Logarithmic Quantizer Based on Zoom Strategy
title_sort parameters design for logarithmic quantizer based on zoom strategy
url http://dx.doi.org/10.1155/2017/4028258
work_keys_str_mv AT jingjingyan parametersdesignforlogarithmicquantizerbasedonzoomstrategy