Title :
An analysis method of model reduction error based on H∞ norm
Author :
Han, Shan ; Li, Jianxun ; Zhang, Zhi
Author_Institution :
Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai, China
Abstract :
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.
Keywords :
H∞ control; control system synthesis; linearisation techniques; load (electric); nonlinear control systems; reduced order systems; H∞ norm; balanced truncation; complicated system model reduction; electric load simulator; engineering application; high-order nonlinear model; linear controllers; linearization error; model reduction error analysis method; order reduction error; performance evaluation; synthesis error; Approximation methods; Error analysis; Linear systems; Load modeling; Nonlinear systems; Reduced order systems; Upper bound; Error Analysis; H∞ Norm; High-order Nonlinear System; Model Reduction;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6243052
