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Infinity Norm Measurement of Sensitivity for Closed-Loop Systems Using Chirp as Excitation

Infinity Norm Measurement of Sensitivity for Closed-Loop Systems Using Chirp as Excitation
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摘要 A simple identification method based on a closed-loop experiment is proposed to measure the infinity norm of sensitivity function.A chirp signal,modified to have desired band-limited characteristic and finite duration,is used as the excitation in the experiment,and the sensitivity function is calculated using Fourier transform of input and error signals before the infinity norm is evaluated through maximization of the magnitude of sensitivity function.With an additional feature of providing values of gain margin and phase margin at a little extra effort,this method can be used in the identification step of a controller auto-tuning procedure,as having been supported by simulation results showing its capability of providing fast and accurate estimates for a large variety of processes. A simple identification method based on a closed-loop experiment is proposed to measure the infinity norm of sensitivity function.A chirp signal,modified to have desired band-limited characteristic and finite duration,is used as the excitation in the experiment,and the sensitivity function is calculated using Fourier transform of input and error signals before the infinity norm is evaluated through maximization of the magnitude of sensitivity function.With an additional feature of providing values of gain margin and phase margin at a little extra effort,this method can be used in the identification step of a controller auto-tuning procedure,as having been supported by simulation results showing its capability of providing fast and accurate estimates for a large variety of processes.
机构地区 School of Automation
出处 《Journal of Beijing Institute of Technology》 EI CAS 2010年第1期66-70,共5页 北京理工大学学报(英文版)
基金 Sponsored by the Key Construction Program of the"985"Program (1010012047201)
关键词 sensitivity function CHIRP numerical optimization FFT AUTO-TUNING sensitivity function chirp numerical optimization FFT auto-tuning
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