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Citation:
　Wen-ming Shi.Parameter Estimation with Constraints Based on Variational Method[J].Journal of Marine Science and Application,2010,(1):105-108.
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Parameter Estimation with Constraints Based on Variational Method

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Title:
Parameter Estimation with Constraints Based on Variational Method
Author(s):
Wen-ming Shi
Affilations:
Author(s):
Wen-ming Shi
Postgraduate Brigade, Naval Submarine Academy, Qingdao 266071, China
Keywords:
least squares estimation;  parameter estimation;  variational method;  constraint
分类号:
-
DOI:
-
Abstract:
The accuracy of parameter estimation is critical when digitally modeling a ship. A parameter estimation method with constraints was developed, based on the variational method. Performance functions and constraint equations in the variational method are constructed by analyzing input and output equations of the system. The problem of parameter estimation was transformed into a problem of least squares estimation. The parameter estimation equation was analyzed in order to get an optimized estimation of parameters based on the Lagrange multiplication operator. Simulation results showed that this method is better than the traditional least squares estimation, producing a higher precision when identifying parameters. It has very important practical value in areas of application such as system identification and parameter estimation.

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Last Update: 2010-04-16