The linearized calibration method of non-linear function parameter
Received:February 08, 2012  Revised:June 12, 2012
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DOI:10.7511/jslx201302011
KeyWord:non-linear function parameter  local optimum  linearized calibration  two-step loop
        
AuthorInstitution
包为民 河海大学 水文水资源与水利工程科学国家重点实验室,南京 ;河海大学 水文水资源学院,南京
司伟 河海大学 水文水资源学院,南京
瞿思敏 河海大学 水文水资源与水利工程科学国家重点实验室,南京 ;河海大学 水文水资源学院,南京
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Abstract:
      Non-linear function parameter calibration is usually based on the objective function of minimum error square sum,which including the construction of objective function and the first-order derivation of objective function.Since the traditional non-linear parameter calibration will introduce unrelated local optimums,a new non-linear parameter linearized calibration method was proposed in the paper.The new method obtained non-linear function derivation of parameters first and then the linear difference of the derivation function.Afterwards,linearized parameters calibration was accomplished using minimum error square sum as objective function,through these steps gradually approximating the optimal value of non-linear parameters.This new method was proved to be convergent,reasonable and effective in theory,and improved non-related local optimums problems of traditional calibration method based on minimum error square sum objective function.