https://scholars.lib.ntu.edu.tw/handle/123456789/301543
標題: | Robust and Minimum Norm Partial Pole Assignment in Vibrating Structures with Aerodynamics Effects | 作者: | Datta, B.N. Lin, W.-W. Wang, J.-N. JENN-NAN WANG |
公開日期: | 2003 | 卷: | 3 | 起(迄)頁: | 2358-2363 | 來源出版物: | IEEE Conference on Decision and Control | 摘要: | 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. |
URI: | http://www.scopus.com/inward/record.url?eid=2-s2.0-1542349012&partnerID=MN8TOARS http://scholars.lib.ntu.edu.tw/handle/123456789/301543 https://www.scopus.com/inward/record.uri?eid=2-s2.0-1542349012&partnerID=40&md5=324f653178dc12b2d2742b72f1b21fb4 |
ISSN: | 07431546 | SDG/關鍵字: | Aerodynamics; Closed loop control systems; Feedback control; Functions; Mathematical models; Matrix algebra; Stiffness; Vibration control; Partial pole assignment; Vibrating structures; Robustness (control systems) |
顯示於: | 應用數學科學研究所 |
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