Skip to main content

A New Strategy for Parameter Estimation of Dynamic Differential Equations Based on NSGA II

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4247))

Abstract

A new strategy for parameter estimation of dynamic differential equations based on nondominated sorting genetic algorithm II (NSGA II) and one-step-integral Treanor algorithm is presented. It is adopted to determine the exact model of catalytic cracking of gas oil. Compared with those conventional methods, for example, quadratic programming, the method proposed in this paper is more effective and feasible. With the parameters selected from the NSGA II pareto-optimal solutions, more accurate results can be obtained.

This work was supported by the National Natural Science Foundation of China (No. 20206027), the Key Technologies R&D Program in the 10th Five-year Plan of China (No. 2004BA210A01), and the Technologies R&D Programs of Zhejiang Province (No. 2006C31051 and No. 2006C33059).

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Jiang, A.P., Shao, Z.J., Qian, J.X.: Optimization of Reaction Parameters Based on rSQP and Hybrid Automatic Differentiation Algorithm. Journal of Zhejiang University (Engineering Science) 38, 1606–1610 (2004)

    Google Scholar 

  2. Tjoa, I.-B., Biegler, L.T.: Simultaneous Solution and Optimization Strategies for Parameter Estimation of Differential-algebraic Equations Systems. Ind. Eng. Chem. Res. 30, 376–385 (1991)

    Article  Google Scholar 

  3. Srinivas, N., Deb, K.: Multiobjective Function Optimization Using Nondominated Sorting Genetic Algorithms [J]. Evolutionary Computation 2(3), 221–248 (1995)

    Article  Google Scholar 

  4. Goldberg, D.E.: Genetic Algorithm in Search, Optimization and Machine Learning [M]. Addison-Wesley, Reading (1989)

    Google Scholar 

  5. Deb, K., Agrawal, S., Pratap, A., et al.: A Fast Elitist Nondominated Sorting Genetic Algorithm For Multi-objective Optimization: NSGA II [A]. In: Proc of the Parallel Problem Solving from Nature VI Conf. [C], Paris, pp. 849–858 (2000)

    Google Scholar 

  6. Xu, S.L.: Common Algorithm Set by FORTRAN. Tsinghua University Press (1995)

    Google Scholar 

  7. Froment, G.F., Bischoff, K.B.: Chemical Reactor Analysis and Design. Wiley, New York (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Shi, Y., Lu, J., Zheng, Q. (2006). A New Strategy for Parameter Estimation of Dynamic Differential Equations Based on NSGA II. In: Wang, TD., et al. Simulated Evolution and Learning. SEAL 2006. Lecture Notes in Computer Science, vol 4247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11903697_44

Download citation

  • DOI: https://doi.org/10.1007/11903697_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-47331-2

  • Online ISBN: 978-3-540-47332-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics