Title :
A parametric solution of second-order vibration matrix equations and its control applications
Author :
Wang, Guosheng ; Chang, Tianqing ; Liang, Bing ; Liu, Feng
Author_Institution :
Dept. of Control Eng., Acad. of Armored Force Eng., Beijing, China
Abstract :
Solution of a class of second-order vibration matrix equations is investigated. In the case of the eigenvalues with the Jordan diagonal canonical form, a parametric method is proposed, which offers the parametric expressions of the unknown matrices in the matrix equation. And by using the parametric solution to design the eigenstrucure assignment via the state feedback, parametric expressions of the state feedback gain matrices are proposed. Finally, a numerical example shows the simplicity and effectiveness of the proposed parametric method.
Keywords :
eigenstructure assignment; matrix algebra; state feedback; vibration control; Jordan diagonal canonical form; eigenstrucure assignment design; eigenvalues; feedback control; parametric solution; second-order vibration matrix equations; state feedback; Automation; Chromium; Equations; Mathematical model; State feedback; Vibrations; Feedback control; eigenvalues; parameterization; second-order vibration matrix equations;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5553870
