System identification based on Support Kernels Regression

نویسندگان

  • Mounira TARHOUNI
  • Salah ZIDI
  • Kaouther LAABIDI
  • Moufida KSOURI-LAHMARI
چکیده

This paper deals with the identification of nonlinear systems using multi-kernel approach. In this context, we have improved the Support Vector Regression (SVR) method in order to identify nonlinear complex system. Our idea consists in dividing the regressor vector in several blocks, and, for each one a kernel function is used. This blockwise SVR approach is called Support Kernel Regression (SKR). Furthermore, we have proposed two methods SKR(lin-rbf) and SKR(rbf-rbf). In these two methods we have divided the regressor into two Blocks. In the SKR(lin-rbf) based approach, the linear kernel and the Gaussian kernel are used, respectively, to identify the influence of the first block and of the second block on the model. However, in the SKR(rbf-rbf) approach two gaussian kernels are used. An example is presented for qualitative comparison with the classical SVR approach based on a single kernel function. The results reveal the accuracy and the robustness of the obtained model based on our proposed approaches. Keywords—Support Vector Regression; Support Kernel Regression; Nonlinear System Identification; Kernel Function

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تاریخ انتشار 2013