RECURSIVE IDENTIFICATION METHOD FOR MISO WIENER-HAMMERSTEIN MODEL 非线性系统辨识论文.pdfVIP

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 40, NO. 2. FEBRUARY 1995 281 Recursive Identification Method for MISO Wiener-Hammerstein Model M. Boutayeb and M. Darouach Abstract- A simple technique for recursive identification of the Wiener-Hammerstein model with extension to the multi-input single- Fig. 1. MISO Weiner-Hammerstein model. output (MISO) case is presented. We use a new transformation of the input-output difference equation where parameters to be estimated are those of each subsystem of the initial and unique realization. After of our previous work in [5].We investigate a new formulation of the that, a weighted extended least squares (WELS) method is employed to input output difference equation, from which a WERLS algorithm estimate recursively and separately parameters of the linear subsystems and the static nonlinear element. Convergence analysis of the proposed is established. Contrary to the approach developed in [6] and [ I I], procedure is also studied. Finally, a numerical example is provided to the obtained algorithm has the advantage to estimate separately and show the emciency of the algorithm. recursively parameters of the linear and nonlinear subsystems of the initial realization where parameter number is of minimal dimension. I. INTRODUCTION