Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its application

Abstract Prescribed performance technology is a promising methodology that has received wide attention in control communities owing to its quantitative description for the steady-state and transient performance of control systems in recent years. Simplifying controller design, reducing system regula...

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Main Authors: Huijie Lei, Yanwei Zhang, Xikun Lu
Format: Article
Language:English
Published: Nature Portfolio 2024-12-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-024-83641-8
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author Huijie Lei
Yanwei Zhang
Xikun Lu
author_facet Huijie Lei
Yanwei Zhang
Xikun Lu
author_sort Huijie Lei
collection DOAJ
description Abstract Prescribed performance technology is a promising methodology that has received wide attention in control communities owing to its quantitative description for the steady-state and transient performance of control systems in recent years. Simplifying controller design, reducing system regulation time and preventing system divergence can all be achieved through the improved transient performance of parameter estimation. Unfortunately, in system identification communities, few papers on the transient performance of parameter identification are published because of difficulties in designing the error variable reflecting this performance. To resolve the above problem, this study provides an available solution by integrating the prescribed performance technology into the design of the estimator. We introduce an adaptive prescribed performance parameter identification of Hammerstein-like systems subject to the quantised observations. Firstly, a low-pass filter and forcing variables are developed to construct the transient performance error expression. An improved prescribed performance function that characterises the error bound of the parameter estimation is then introduced. Secondly, the identification error transformation is used to obtain a new system by transforming the raw system such that a constraint condition is avoided. A novel adaptive law is proposed to guarantee the original parameter identification with prescribed performance. Finally, simulation and process examples are given to state the finding results.
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spelling doaj-art-7e723eb2fad641e9932bde417d3a3da72025-01-05T12:26:01ZengNature PortfolioScientific Reports2045-23222024-12-0114111710.1038/s41598-024-83641-8Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its applicationHuijie Lei0Yanwei Zhang1Xikun Lu2School of Electronic Information and Electrical Engineering, Anyang Institute of TechnologyHenan Angang Zhoukou Co., LtdSchool of Electronic Information and Electrical Engineering, Anyang Institute of TechnologyAbstract Prescribed performance technology is a promising methodology that has received wide attention in control communities owing to its quantitative description for the steady-state and transient performance of control systems in recent years. Simplifying controller design, reducing system regulation time and preventing system divergence can all be achieved through the improved transient performance of parameter estimation. Unfortunately, in system identification communities, few papers on the transient performance of parameter identification are published because of difficulties in designing the error variable reflecting this performance. To resolve the above problem, this study provides an available solution by integrating the prescribed performance technology into the design of the estimator. We introduce an adaptive prescribed performance parameter identification of Hammerstein-like systems subject to the quantised observations. Firstly, a low-pass filter and forcing variables are developed to construct the transient performance error expression. An improved prescribed performance function that characterises the error bound of the parameter estimation is then introduced. Secondly, the identification error transformation is used to obtain a new system by transforming the raw system such that a constraint condition is avoided. A novel adaptive law is proposed to guarantee the original parameter identification with prescribed performance. Finally, simulation and process examples are given to state the finding results.https://doi.org/10.1038/s41598-024-83641-8Hammerstein-likeQuantized observationsRecursive identificationPrescribed performance technologyParameter estimation
spellingShingle Huijie Lei
Yanwei Zhang
Xikun Lu
Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its application
Scientific Reports
Hammerstein-like
Quantized observations
Recursive identification
Prescribed performance technology
Parameter estimation
title Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its application
title_full Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its application
title_fullStr Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its application
title_full_unstemmed Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its application
title_short Adaptive prescribed performance estimator for Hammerstein-like system identification based on quantized observations and its application
title_sort adaptive prescribed performance estimator for hammerstein like system identification based on quantized observations and its application
topic Hammerstein-like
Quantized observations
Recursive identification
Prescribed performance technology
Parameter estimation
url https://doi.org/10.1038/s41598-024-83641-8
work_keys_str_mv AT huijielei adaptiveprescribedperformanceestimatorforhammersteinlikesystemidentificationbasedonquantizedobservationsanditsapplication
AT yanweizhang adaptiveprescribedperformanceestimatorforhammersteinlikesystemidentificationbasedonquantizedobservationsanditsapplication
AT xikunlu adaptiveprescribedperformanceestimatorforhammersteinlikesystemidentificationbasedonquantizedobservationsanditsapplication