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Efficient Parameter Identification for a Class of Bilinear Differential Systems

机译:一类双线性微分系统的高效参数辨识

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Using sinusoidal probing signals on sequential time intervals of finite duration, a least squares parameter identification technique is developed for a class of bilinear differential systems which avoids the usual point-wise-in-time cross multiplication between the input-output data and avoids dealing with all unknown initial (boundary) conditions over each finite time interval. The basis of the technique is Shinbrot's method of moment functionals using commensurable sinusoids as the modulating functions. The main result is the demonstration that the sequential least squares procedure for the bilinear system parameters with sinusoidal inputs can be set up using a single Fast Fourier Transform of the output data over each finite time interval which is essentially the same computational requirement as attends the formulation for a linear system model. (Author)

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