Research Article | OPEN ACCESS
Approach to Identification of a Second-Order Volterra Kernel of Nonlinear Systems by Tchebyshev Polynomials Method
Y.H. Wang and J.L. Han
Institute of Vibration Engineering Research,
State Key Lab of Mechanics and Control for Mechanical Structures, Nanjing
University of Aeronautics and Astronautics, Nanjing 210016, P.R. China
Research Journal of Applied Sciences, Engineering and Technology 2013 20:4950-4955
Received: October 17, 2012 | Accepted: December 10, 2012 | Published: May 15, 2013
Abstract
In this study, we investigate the Tchebyshev polynomials expansion method for the kernels identification of nonlinear systems. In aerodynamic systems, all the output data to an arbitrary input may be obtained by executing the Computational Fluid Dynamic (CFD) program code. This calculation process may take more than several hours or days to complete. In comparison with the indicial or impulse methods our method is efficient, which does not need more output data for the identification of the second-order kernel by running CFD code repeatedly. This new approach may be applied to the aeroelastic problems. Two examples illustrate the whole process.
Keywords:
Kernels identification, tchebyshev polynomials expansion volterra series,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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