Passive Control and ε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper considers the problems of passivity analysis and synthesis of singularly perturbed systems with nonlinear uncertainties.
By a novel storage function depending on the singular perturbation parameter ε, a new method is proposed to estimate the ε-bound, such that the system is passive when the singular perturbation parameter is lower than the ε-bound.
Furthermore, a controller design method is proposed to achieve a predefined ε-bound.
The proposed results are shown to be less conservative than the existing ones because the adopted storage function is more general.
Finally, an RLC circuit is presented to illustrate the advantages and effectiveness of the proposed methods.
American Psychological Association (APA)
Zhou, Linna& Yang, Chunyu. 2013. Passive Control and ε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1010552
Modern Language Association (MLA)
Zhou, Linna& Yang, Chunyu. Passive Control and ε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1010552
American Medical Association (AMA)
Zhou, Linna& Yang, Chunyu. Passive Control and ε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1010552
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010552