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Non‐Model‐Based Estimation for Velocity and Acceleration by Adaptive Identification Method
Author(s) -
Nomura Tatsuya,
Kitsuka Yuta,
Matsuo Takami
Publication year - 2010
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.20544
Subject(s) - differentiator , estimator , acceleration , computer science , identification (biology) , control theory (sociology) , signal (programming language) , adaptive estimator , basis (linear algebra) , system identification , mathematics , artificial intelligence , data modeling , statistics , physics , telecommunications , botany , control (management) , geometry , bandwidth (computing) , classical mechanics , database , biology , programming language
The design of an ideal differentiator is a difficult and a challenging task. In this paper, we propose two types of differentiators to estimate the time derivative of an output signal. To begin with, a velocity estimator is proposed on the basis of the adaptive identification method and compared with the exact differentiator proposed by Levant. Then, an acceleration estimator is proposed with the nonpassifiable adaptive schemes. Finally, the proposed differentiators are applied to the estimation of the speed and acceleration of the mass–spring system. The simulation results show that the proposed differentiators are robust to additive noises. Copyright © 2010 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.