Title :
Pole assignment with optimally conditioned eigenstructure
Author :
Lam, James ; Yan, Wei-Yong
Author_Institution :
Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong
Abstract :
This paper presents a novel method for pole assignment with robustness measured in terms of the spectral condition number of the closed-loop eigenvector matrix. It is established that the spectral condition number can be minimized asymptotically via a sequence of unconstrained minimizations on some auxiliary objective functions. Moreover, the sequence of minimizers converges to a minimizer of the spectral condition number. A numerical algorithm with analytical formulas of the gradient of the auxiliary objective functions is provided. The efficiency and effectiveness of the approach is demonstrated via an example
Keywords :
closed loop systems; eigenstructure assignment; matrix algebra; minimisation; pole assignment; robust control; asymptotic minimization; auxiliary objective function gradient; closed-loop eigenvector matrix; optimally conditioned eigenstructure; pole assignment; robustness; spectral condition number; unconstrained minimizations; Algorithm design and analysis; Control systems; Eigenvalues and eigenfunctions; Feedback loop; Mechanical engineering; Mechanical variables measurement; Optimal control; Robust control; Robustness; State feedback;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.572877
