Title :
Robust exact pole placement via an LMI-based algorithm
Author :
Rami, M. Ait ; Faiz, S. El ; Benzaouia, A.
Author_Institution :
Research Unit: Constrained and Robust Regulation, Department of Physics, Faculty of Science Semlalia, P.B 2390, Marrakech, Morocco.
Abstract :
This paper deals with the robust exact pole placement problem in connection with the solvability of a Sylvester equation. The main issue is to compute a well-conditioned solution to this equation. The best candidate solution must possess the minimal condition number. This problem is cast as a global optimization under LMI constraints for which a numerical convergent algorithm is provided and compared with the most attractive methods in the literature.
Keywords :
Linear Matrix Inequality; Pole placement; Sylvester equation; condition number; global optimization; robustness; Constraint optimization; Control theory; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; MATLAB; Open loop systems; Physics; Robustness; State feedback; Linear Matrix Inequality; Pole placement; Sylvester equation; condition number; global optimization; robustness;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583432
