A new method of parameters identification of dynamic systems using output probability density function

T.Y. Liu, J.F. Jia, H. Wang, Hong Yue

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

When the estimated parameter values are close to the true values, the probability density function of output with the estimated will be close to the probability density function with the true parameter values. Based on this idea, a new method is proposed to estimate unknown parameters using output probability density function. To cope with shortcomings of estimation algorithms of output probability density function, anther performance function is also proposed based on the histogram of model output. In order to illustrate the effectiveness and robustness of this method, HIV/AIDS model is taken as an example and the simulation results are encouraging.
Original languageEnglish
Title of host publicationControl Conference, 2007
Subtitle of host publicationProceedings of the 26th Chinese Control Conference
EditorsD.Z. Cheng, M. Wu
Place of PublicationBeijing
Pages108-111
Number of pages4
DOIs
Publication statusPublished - 2007
Event26th Chinese Control Conference - Zhangjiajie, China
Duration: 26 Jul 200731 Jul 2007

Conference

Conference26th Chinese Control Conference
CountryChina
CityZhangjiajie
Period26/07/0731/07/07

Fingerprint

Probability density function
Identification (control systems)
Dynamical systems

Keywords

  • dynamic systems
  • histogram
  • probability density function
  • parameter estimation

Cite this

Liu, T. Y., Jia, J. F., Wang, H., & Yue, H. (2007). A new method of parameters identification of dynamic systems using output probability density function. In D. Z. Cheng, & M. Wu (Eds.), Control Conference, 2007: Proceedings of the 26th Chinese Control Conference (pp. 108-111). Beijing. https://doi.org/10.1109/CHICC.2006.4346779
Liu, T.Y. ; Jia, J.F. ; Wang, H. ; Yue, Hong. / A new method of parameters identification of dynamic systems using output probability density function. Control Conference, 2007: Proceedings of the 26th Chinese Control Conference. editor / D.Z. Cheng ; M. Wu. Beijing, 2007. pp. 108-111
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Liu, TY, Jia, JF, Wang, H & Yue, H 2007, A new method of parameters identification of dynamic systems using output probability density function. in DZ Cheng & M Wu (eds), Control Conference, 2007: Proceedings of the 26th Chinese Control Conference. Beijing, pp. 108-111, 26th Chinese Control Conference , Zhangjiajie, China, 26/07/07. https://doi.org/10.1109/CHICC.2006.4346779

A new method of parameters identification of dynamic systems using output probability density function. / Liu, T.Y.; Jia, J.F.; Wang, H.; Yue, Hong.

Control Conference, 2007: Proceedings of the 26th Chinese Control Conference. ed. / D.Z. Cheng; M. Wu. Beijing, 2007. p. 108-111.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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AB - When the estimated parameter values are close to the true values, the probability density function of output with the estimated will be close to the probability density function with the true parameter values. Based on this idea, a new method is proposed to estimate unknown parameters using output probability density function. To cope with shortcomings of estimation algorithms of output probability density function, anther performance function is also proposed based on the histogram of model output. In order to illustrate the effectiveness and robustness of this method, HIV/AIDS model is taken as an example and the simulation results are encouraging.

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Liu TY, Jia JF, Wang H, Yue H. A new method of parameters identification of dynamic systems using output probability density function. In Cheng DZ, Wu M, editors, Control Conference, 2007: Proceedings of the 26th Chinese Control Conference. Beijing. 2007. p. 108-111 https://doi.org/10.1109/CHICC.2006.4346779