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 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


Parameter Estimation with Constraints Based on Variational Method
Wen-ming Shi
Wen-ming Shi
Postgraduate Brigade, Naval Submarine Academy, Qingdao 266071, China
least squares estimation parameter estimation variational method constraint
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.


Chen Xiru, Wang Songgui (2003). Least-squares methods in linear model. Shanghai Science and Technology Press, Shanghai, 82-95
 Ding Feng, Yang Jiaben (1999a). Convergence analysis of stochastic gradient algorithms. Journal of Tsinghua University(Sci & Tech), 39(1), 83-86.
 Ding Feng, Yang Jiaben (1999b). Remarks on martingale hyperconvergence theorem and the convergence analysis of the forgetting factor least squares algorithm. Control Theory and Application, 16(4), 569-572.
Hasting-James R, Sage MW (1969). Recursive generalized least squares procedure for on-line identification of process parameters. Proc. of the IEE, 116(12), 2057-2062.
 Hsia TC (1977). System identification, least-squares methods. VNU Science Press, Utrecht, the Netherlands, 65-70.
Liu Bao (2002). Modern control theory. Publis
hing House of Electronics Industry, Beijing, 65-69.
Lu WP, Fisher G (1989).Least-squares output estimation with multirate sampling. IEEE Transactions on Automatic Control, 34(6), 669-672.
Xu Nanrong (1986). System identification. Publishing House of Electronics Industry, Beijing, 60-63.
Zhang Jingui (1999). Parameter estimation and improvement of linear modeling. Press of National University of Defense Technology, Changsha, 102-106.
 Zhang Xianda (2002). Modern signal processing, 2nd Ed. Tsinghua University Press, Beijing, 49-59.


Last Update: 2010-04-16