Robustness of D-stability for discrete large-scale uncertain systems
作者:
CHIEN-HUA LEE,
TZUU-HSENGS. LI,
FAN-CHU KUNG,
期刊:
International Journal of Systems Science
(Taylor Available online 1993)
卷期:
Volume 24,
issue 3
页码: 479-498
ISSN:0020-7721
年代: 1993
DOI:10.1080/00207729308949501
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Based on Lyapunov stability theory associated with transformation techniques, theD-stability robustness problem is first discussed for discrete large-scale systems subjected to interconnections and perturbations. Three classes of perturbation are treated: (1) unstructured parametric perturbations; (2) highly structured parametric perturbations; and (3) nonlinear perturbations. If all the eigenvalues of each nominal subsystem are located inside the specified discs Di(∝i, ri), respectively, sufficient conditions forD-stability are presented to guarantee that all the eigenvalues of each perturbed subsystem remain inside the same discs. Furthermore, the proposedD-stability criteria ensure that the whole discrete large-scale system isD-stable irrespective of perturbations and interconnections if the eigenvalues of each nominal subsystem lie within the same diskD(∝,r). By these conditions, the allowable perturbation bounds that ensure theD-stability of discrete large-scale perturbed system can be estimated. Finally, numerical examples are given for illustration.
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