Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design

Jun Imai, Kiyoshi Wada

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

3 Citations (Scopus)

Abstract

An approach to control-oriented uncertainty modeling is proposed for linear elastic vibrating systems described by a partial differential equation. Techniques are developed for the case where a finite number of upper and lower bounds of the unknown parameters are available. To solve the problem, the feasible set defined in [1] is generalized and expanded to a more useful and practical set of systems. Then, the perturbation magnitude covering the feasible set is evaluated in the frequency domain where the truncated modal model is chosen as the nominal model. An upper bound is developed, which is computed using linear programming. All the parameter bounds required for the proposed formulation are computed using finite element analysis for a major class of elastic vibrating systems.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages4307-4312
Number of pages6
Volume5
Publication statusPublished - 1999
Externally publishedYes
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

Other

OtherThe 38th IEEE Conference on Decision and Control (CDC)
CityPhoenix, AZ, USA
Period12/7/9912/10/99

Fingerprint

Flexible structures
Controllers
Linear programming
Partial differential equations
Finite element method
Uncertainty

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Imai, J., & Wada, K. (1999). Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design. In Proceedings of the IEEE Conference on Decision and Control (Vol. 5, pp. 4307-4312). IEEE.

Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design. / Imai, Jun; Wada, Kiyoshi.

Proceedings of the IEEE Conference on Decision and Control. Vol. 5 IEEE, 1999. p. 4307-4312.

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

Imai, J & Wada, K 1999, Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design. in Proceedings of the IEEE Conference on Decision and Control. vol. 5, IEEE, pp. 4307-4312, The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, 12/7/99.
Imai J, Wada K. Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design. In Proceedings of the IEEE Conference on Decision and Control. Vol. 5. IEEE. 1999. p. 4307-4312
Imai, Jun ; Wada, Kiyoshi. / Modeling uncertainty of flexible structures with eigenparameter bounds - frequency domain characterization for controller design. Proceedings of the IEEE Conference on Decision and Control. Vol. 5 IEEE, 1999. pp. 4307-4312
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