Robust Observer-Based Feedback Control for Lipschitz Singularly Perturbed Systems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The observer-based feedback control for singularly perturbed systems (SPSs) with Lipschitz constraint is addressed.
A sufficient condition, independent of the perturbation parameter, for a full-order observer is presented in terms of linear matrix inequality (LMI) such that observation error is exponentially stable for all sufficiently small perturbation parameters.
Then, for observer-based feedback control, a proper controller is constructed to guarantee the input-to-state stability of the system with regard to the observation error.
Considering the convergence of observation error, the stability of the system can be obtained based on the input-to-state stability property.
It is shown that the proposed method is simple and easy to operate.
Moreover, the upper bound of the small perturbation parameter for stability of systems can be explicitly estimated with a workable computation way.
Finally, two numerical examples show the effectiveness of the proposed method.
American Psychological Association (APA)
Wang, Yanyan& Liu, Wei. 2015. Robust Observer-Based Feedback Control for Lipschitz Singularly Perturbed Systems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074207
Modern Language Association (MLA)
Wang, Yanyan& Liu, Wei. Robust Observer-Based Feedback Control for Lipschitz Singularly Perturbed Systems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074207
American Medical Association (AMA)
Wang, Yanyan& Liu, Wei. Robust Observer-Based Feedback Control for Lipschitz Singularly Perturbed Systems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074207
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074207