Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse Function

For periodic time-varying systems, a method of parameter identification based on the block-pulse function is presented. Firstly, the state-space equation of the system was expanded using the block-pulse function, then the recursion formula of the parameter identification of a time-varying system was...

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Main Authors: Zhi Wang, Jun Wang, Jing Tian, Yu Liu
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/9/10/614
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author Zhi Wang
Jun Wang
Jing Tian
Yu Liu
author_facet Zhi Wang
Jun Wang
Jing Tian
Yu Liu
author_sort Zhi Wang
collection DOAJ
description For periodic time-varying systems, a method of parameter identification based on the block-pulse function is presented. Firstly, the state-space equation of the system was expanded using the block-pulse function, then the recursion formula of the parameter identification of a time-varying system was obtained, according to the irrespective and orthogonal characteristics of the block-pulse function. This study provides a wide range of applications by saving time in calculation with a highly accurate method. The parameter identification was carried out by including the numerical simulation model of a three-degree freedom system and the vibration experiment results of an asymmetrical rotor system. The state space wavelet method and EMD method were compared cross-sectionally with the proposed method; this shows that the proposed method is accurate and effective, which makes it valuable in numerous applications. It also has a certain application value for several related projects.
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spelling doaj.art-b5c1f3264e3a4223817549f4acf25e942023-11-23T22:19:12ZengMDPI AGAerospace2226-43102022-10-0191061410.3390/aerospace9100614Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse FunctionZhi Wang0Jun Wang1Jing Tian2Yu Liu3Key Lab of Advance Measurement and Test Technology for Aviation Propulsion System, Shenyang Aerospace University, Shenyang 110136, ChinaKey Lab of Advance Measurement and Test Technology for Aviation Propulsion System, Shenyang Aerospace University, Shenyang 110136, ChinaKey Lab of Advance Measurement and Test Technology for Aviation Propulsion System, Shenyang Aerospace University, Shenyang 110136, ChinaKey Lab of Advance Measurement and Test Technology for Aviation Propulsion System, Shenyang Aerospace University, Shenyang 110136, ChinaFor periodic time-varying systems, a method of parameter identification based on the block-pulse function is presented. Firstly, the state-space equation of the system was expanded using the block-pulse function, then the recursion formula of the parameter identification of a time-varying system was obtained, according to the irrespective and orthogonal characteristics of the block-pulse function. This study provides a wide range of applications by saving time in calculation with a highly accurate method. The parameter identification was carried out by including the numerical simulation model of a three-degree freedom system and the vibration experiment results of an asymmetrical rotor system. The state space wavelet method and EMD method were compared cross-sectionally with the proposed method; this shows that the proposed method is accurate and effective, which makes it valuable in numerous applications. It also has a certain application value for several related projects.https://www.mdpi.com/2226-4310/9/10/614periodic time-varying systemparameter identificationblock-pulse functionasymmetric rotor
spellingShingle Zhi Wang
Jun Wang
Jing Tian
Yu Liu
Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse Function
Aerospace
periodic time-varying system
parameter identification
block-pulse function
asymmetric rotor
title Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse Function
title_full Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse Function
title_fullStr Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse Function
title_full_unstemmed Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse Function
title_short Parameter Identification Method for a Periodic Time-Varying System Using a Block-Pulse Function
title_sort parameter identification method for a periodic time varying system using a block pulse function
topic periodic time-varying system
parameter identification
block-pulse function
asymmetric rotor
url https://www.mdpi.com/2226-4310/9/10/614
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AT jingtian parameteridentificationmethodforaperiodictimevaryingsystemusingablockpulsefunction
AT yuliu parameteridentificationmethodforaperiodictimevaryingsystemusingablockpulsefunction