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A Sequential Algebraic Parametric Identification Approach for Nonlinear Vibrating Mechanical Systems
Author(s) -
BeltranCarbajal F.,
SilvaNavarro G.,
TrujilloFranco L. G.
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1474
Subject(s) - control theory (sociology) , nonlinear system , parametric statistics , system identification , mechanical system , estimation theory , algebraic number , trajectory , time domain , vibration , mathematics , computer science , algorithm , artificial intelligence , control (management) , data modeling , mathematical analysis , statistics , physics , quantum mechanics , database , astronomy , computer vision
A systematic on‐line algebraic parametric identification method in time domain is proposed for active vibration control on nonlinear vibrating mechanical systems. The identification is performed iteratively, to reduce the computational effort of the parameter estimation process, for finite or infinite dimensional large flexible structures into an interest bandwidth. Position signals are only required to algebraically and quickly estimate the parameters of multiple degrees‐of‐freedom nonlinear vibrating mechanical systems. Then, an adaptive‐like output feedback tracking dynamic control scheme is introduced to assess the efficiency and effectiveness of the closed‐loop parameter estimation algorithms. Some simulation results are included to provide evidence of the efficient dynamic performance of the proposed parametric identification approach combined with asymptotic trajectory tracking control.