An analysis method of model reduction error based on H∞ norm

Because of the limitation of linear controllers at the present stage, model reduction of complicated system still plays an important role in engineering application. During the research of electric load simulator with a high-order nonlinear model, no effective method is presented to evaluate the effect of different reduction ways. To solve this problem, an analysis method of model reduction error based on H_∞ norm is proposed and applied in this paper. A synthesis error can be obtained by this method including linearization error and order reduction error. Compared with the figures in common use, the quantized result providing the basis for performance evaluation of model reduction is more intuitive and reliable. As the experimental verification, the superiority of Balanced Truncation used in the model reduction of electric load simulator is testified by this proposed method.