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