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Approach to modeling and estimation for uncertain systems

Publication ,  Journal Article
Miyazawa, Y; Dowell, EH
Published in: Journal of Guidance, Control, and Dynamics
January 1, 1989

Optimal modeling and optimal estimation are discussed for uncertain dynamic systems. Uncertainty of the system is assumed to be presented by multiple models, or a set of possible parameters, and their own probabilities. Optimal solutions are derived by minimizing cost functions of quadratic form. If the number of the multiple models is finite, the optimal nominal model and the optimal estimator can be realized by systems of finite order. In general, however, the order of these optimal solutions is much higher than that of each possible dynamic model. In order to make their implementation more practical, approximation by reduced-order models is necessary. These problems can be reduced to those of ordinary reduced-order modeling and reduced-order estimation, where some computation is necessary. Suboptimal reduced-order models and estimators that can be obtained with simple calculation are also investigated. Approaches developed recently, including the balanced realization model, the chained aggregation model, and the principal coordinate realization model are applied. These approaches are compared by using simple examples. In the examples, performance robustness obtained by the multiple model method is also illustrated. © 1980 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

Duke Scholars

Published In

Journal of Guidance, Control, and Dynamics

DOI

ISSN

0731-5090

Publication Date

January 1, 1989

Volume

12

Issue

5

Start / End Page

672 / 680

Related Subject Headings

  • Aerospace & Aeronautics
  • 4017 Mechanical engineering
  • 4007 Control engineering, mechatronics and robotics
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0906 Electrical and Electronic Engineering
  • 0901 Aerospace Engineering
 

Citation

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Miyazawa, Y., & Dowell, E. H. (1989). Approach to modeling and estimation for uncertain systems. Journal of Guidance, Control, and Dynamics, 12(5), 672–680. https://doi.org/10.2514/3.20461
Miyazawa, Y., and E. H. Dowell. “Approach to modeling and estimation for uncertain systems.” Journal of Guidance, Control, and Dynamics 12, no. 5 (January 1, 1989): 672–80. https://doi.org/10.2514/3.20461.
Miyazawa Y, Dowell EH. Approach to modeling and estimation for uncertain systems. Journal of Guidance, Control, and Dynamics. 1989 Jan 1;12(5):672–80.
Miyazawa, Y., and E. H. Dowell. “Approach to modeling and estimation for uncertain systems.” Journal of Guidance, Control, and Dynamics, vol. 12, no. 5, Jan. 1989, pp. 672–80. Scopus, doi:10.2514/3.20461.
Miyazawa Y, Dowell EH. Approach to modeling and estimation for uncertain systems. Journal of Guidance, Control, and Dynamics. 1989 Jan 1;12(5):672–680.
Journal cover image

Published In

Journal of Guidance, Control, and Dynamics

DOI

ISSN

0731-5090

Publication Date

January 1, 1989

Volume

12

Issue

5

Start / End Page

672 / 680

Related Subject Headings

  • Aerospace & Aeronautics
  • 4017 Mechanical engineering
  • 4007 Control engineering, mechatronics and robotics
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0906 Electrical and Electronic Engineering
  • 0901 Aerospace Engineering