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Generalized Nonlinear Stiffness Identification on Controlled Mechanical Vibrating Systems
Author(s) -
BeltranCarbajal Francisco,
SilvaNavarro Gerardo
Publication year - 2019
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.1807
Subject(s) - control theory (sociology) , nonlinear system , parametric statistics , stiffness , system identification , time domain , position (finance) , mechanical system , transient (computer programming) , identification (biology) , parametric model , engineering , mathematics , computer science , structural engineering , physics , control (management) , mechanical engineering , artificial intelligence , software engineering , data modeling , biology , operating system , quantum mechanics , computer vision , statistics , botany , finance , economics
A new algebraic parametric identification method in time domain for multiple degrees‐of‐freedom mechanical vibrating systems with high‐order nonlinear stiffness is proposed. Parameters of mass, damping and linear and nonlinear stiffness are estimated on‐line and, simultaneously, using transient real‐time position measurements and active control force signals. Parametric identification can be applied for real‐time estimation of both symmetrical and non‐symmetrical stiffness. Parametric identification is combined with adaptive planned motion control on Multiple‐Input‐Multiple‐Output nonlinear mechanical vibrating systems. Analytical and numerical results prove the effectiveness and efficiency of the proposed on‐line algebraic parametric identification approach.