Title :
Improved quantitative measures of robustness for multivariable systems
Author :
Chen, Homg-Giou ; Han, Kuang-Wei
Author_Institution :
Inst. of Electron., Nat. Chiao Tung Univ., Hsinchu, Taiwan
fDate :
4/1/1994 12:00:00 AM
Abstract :
Asymptotically stable linear systems subject to unstructured time varying perturbations are considered. Allowable perturbation bounds are obtained such that the perturbed systems remain stable. These bounds are derived iteratively by means of adjusting a sequence of Lyapunov matrices. In comparison with existing methods, less conservative quantitative measures of robustness are obtained
Keywords :
Lyapunov methods; linear systems; matrix algebra; multivariable control systems; stability; Lyapunov matrices; asymptotically stable linear systems; multivariable systems; perturbation bounds; quantitative measures; robustness; unstructured time varying perturbations; Differential equations; Linear systems; MIMO; Robustness; Stability; Sufficient conditions; Symmetric matrices; Time varying systems; Upper bound; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
