DocumentCode
845388
Title
Quadratic-type Lyapunov functions for singularly perturbed systems
Author
Saberi, Ali ; Khalil, Hassan
Author_Institution
Washington State University, Pullman, WA, USA
Volume
29
Issue
6
fYear
1984
fDate
6/1/1984 12:00:00 AM
Firstpage
542
Lastpage
550
Abstract
Asymptotic and exponential stability of nonlinear singularly perturbed systems are investigated via Lyapunov stability techniques. A quadratic-type Lyapunov function for a singularly perturbed system is obtained as a weighted sum of quadratic-type Lyapunov functions of two lower order systems. Estimates of domain of attraction, of upper bound on perturbation parameter, and of degree of exponential stability are obtained. The method is illustrated by studying the stability of a synchronous generator connected to an infinite bus.
Keywords
Asymptotic stability, nonlinear systems; Lyapunov methods, nonlinear systems; Singularly perturbed systems, nonlinear; Synchronous generator stability; Asymptotic stability; Interconnected systems; Lyapunov method; Parameter estimation; Power engineering and energy; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1984.1103586
Filename
1103586
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