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SYSTEM IDENTIFICATION THROUGH CHAOTIC INTERROGATION

✍ Scribed by J.M. NICHOLS; L.N. VIRGIN


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
191 KB
Volume
17
Category
Article
ISSN
0888-3270

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✦ Synopsis


We introduce a method by which the coefficient of viscous damping for a linear ndof system may be estimated. The technique utilises the unique properties of chaos by driving the system with the output of a non-linear oscillator. By tuning the Lyapunov exponents of the driving signal to the eigenvalues of the linear structure, the dimension of the output is effectively controlled. Estimates of the complete Lyapunov spectrum may then be used to extract the real part of the dominant eigenvalue, and hence the damping, for the system. Results are presented for a 2-dof spring-mass-damper driven with the output of the chaotic Lorenz oscillator. The effects of additive noise are also considered.


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