Title :
Modeling uncertainty of large flexible structures with unknown modal parameters
Author :
Imai, Jun ; Wada, Kiyoshi
Author_Institution :
Dept. of Electr. & Electron. Eng., Okayama Univ., Japan
Abstract :
A procedure for control-oriented modeling of uncertainty is proposed for large flexible structures. Techniques on quantification of errors in modal truncated nominal models are developed for the case where a finite number of upper and lower bounds of the unknown modal parameters are given. A feasible set of systems matching the conditions is introduced, and then error bounds covering the feasible set are established in the frequency domain. The bounds are easily checked using linear programming for any user-specified frequency. The feasibility of the proposed scheme is illustrated by numerical study on an ideal flexible beam example
Keywords :
error analysis; flexible structures; frequency-domain analysis; linear programming; modelling; parameter estimation; uncertain systems; LP; control-oriented uncertainty modeling; error bounds; error quantification; frequency domain bounds; ideal flexible beam example; large flexible structures; linear programming; lower bounds; modal truncated nominal models; unknown modal parameters; upper bounds; user-specified frequency; Eigenvalues and eigenfunctions; Equations; Flexible structures; Frequency domain analysis; Linear programming; Motion analysis; Parameter estimation; Robust control; Systems engineering and theory; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912298
