Boundary Control for a Kind of Coupled PDE-ODE System
Joint Authors
Wang, Yuanting
Liao, Yonglong
Shen, Zhengwei
Liao, Fucheng
Source
Journal of Control Science and Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
A coupled system of an ordinary differential equation (ODE) and a heat partial differential equation (PDE) with spatially varying coefficients is discussed.
By using the PDE backstepping method,the state-feedback stabilizing controller is explicitly constructed with the assumptions λ ( x ) ∈ P [ x ] n and λ ( x ) ∈ C [ 0 , l ] ∞ , respectively.
The closed-loop system is proved to be exponentially stable by this controller.
A simulation example is presented to illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Wang, Yuanting& Liao, Fucheng& Liao, Yonglong& Shen, Zhengwei. 2014. Boundary Control for a Kind of Coupled PDE-ODE System. Journal of Control Science and Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1040218
Modern Language Association (MLA)
Wang, Yuanting…[et al.]. Boundary Control for a Kind of Coupled PDE-ODE System. Journal of Control Science and Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1040218
American Medical Association (AMA)
Wang, Yuanting& Liao, Fucheng& Liao, Yonglong& Shen, Zhengwei. Boundary Control for a Kind of Coupled PDE-ODE System. Journal of Control Science and Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1040218
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040218