Step by step fitting algorithm for multi-order exponential function
HU Xu-xiao1, PAN Xiao-hong1, HE Wei2, CHEN Gang3
1. Institute of Modern Manufacturing Engineering, Zhejiang University,Hangzhou 310027,China; 2. Hangzhou Machine
Tool Group Co., Ltd., Hangzhou 310022, China; 3. Institute of MechanicsElectrics, Zhejiang Texile and Fashion and
College, Ningbo 315211, China
A step by step fitting algorithm was presented for multi-order exponential function with larger time constant difference. For the exponential function with different time constant has different balance time. The last part is firstly fitted by the algorithm for singleorder exponential function, then confirm the amplitude and time constant of the last item of the multiorder exponential function, then choose the last second section, adopt the same fitting algorithm for singleorder exponential function through translating, and get different time constants and corresponding amplitude separately step by step. The algorithm is simple and practical, with high precision of fitting. It was applied to establish the mathematical model of the nanometer drive parts with large feeding force.
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