Robust and Minimum Norm Partial Pole Assignment in Vibrating Structures with Aerodynamics Effects

Biswa N. Datta*, Wen-Wei Lin, Jenn Nan Wang

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

7 Scopus citations

Abstract

The paper considers a practical solution of the partial eigenvalue assignment problem in a cubic matrix polynomial arising from modeling of vibrating structures with aerodynamics effects, with a special attention to numerically robust feedback design and obtaining feedback matrices with minimum norms. To this end, a direct parametric method that works exclusively with the coefficient matrices of the cubic polynomial without requiring transformation to a standard state-space form is proposed first. The computational requirements of the method are minimal -all thatare needed are solutions of a small Sylvester equation and a small linear algebraic system, both of the same order as the number of eigenvalues to be reassigned. The parametric nature of the method is then exploited to deal with the issues of robustness and minimum feedback norms, by formulating the problem as an unconstrained optimization problem. The numerical effectiveness of the method is demonstrated by results of a numerical experiment performed on simulated data obtained from the Boeing Company.

Original languageEnglish
Pages (from-to)2358-2363
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
DOIs
StatePublished - 1 Dec 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: 9 Dec 200312 Dec 2003

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