Nonlinear System Identification Using Quasi-ARX RBFN Models with a Parameter-Classified Scheme

Figure 2

A local linear interpretation for the quasi-ARX RBFN model. A one-dimensional nonlinear system is approximated by three linear submodels, whose operating areas are decided by the associated RBFs; meanwhile, the RBFs also provide interpolations or weighs for all the linear submodels dependent on the operating points. A main interpolation is obtained from a linear submodel when the operating point is near to the center of the associated RBF, while only a minor one can be received when the operating point is far from the corresponding RBF.