Title :
Asymmetric robustness measure of eigenvalue distribution for uncertain linear systems with structured perturbations
Author :
Lee, Jae-Cheon ; Misawa, Eduardo A. ; Reid, Karl N.
Author_Institution :
Samsung Electromech. Co, Pusan, South Korea
Abstract :
This research deals with robustness measures for linear systems with structured uncertainties where the eigenvalues of the perturbed systems are guaranteed to stay in a prescribed region. Based upon the Lyapunov approach, new techniques to estimate allowable perturbation parameter bounds are derived. Robustness bounds estimated by the proposed techniques are asymmetric around the origin and less conservative than those of conventional methods. Examples are given to illustrate proposed methods
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; linear systems; perturbation techniques; robust control; uncertain systems; Lyapunov approach; asymmetric robustness measure; eigenvalue distribution; perturbation parameter bounds; perturbed systems; robustness bounds; structured perturbations; structured uncertainties; uncertain linear systems; Aerospace engineering; Control systems; Eigenvalues and eigenfunctions; Linear systems; Mechanical variables measurement; Parameter estimation; Robust stability; Robustness; Symmetric matrices; Uncertainty;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.609633
