Boundary Control for a Kind of Coupled PDE-ODE System

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 ]...

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Bibliographic Details
Published inJournal of Control Science and Engineering Vol. 2014; no. 2014; pp. 291 - 298
Main Authors Shen, Zhengwei, Liao, Yonglong, Liao, Fucheng, Wang, Yuanting
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Boundary control
Closed loop systems
Construction
Control systems
Control theory
Controllers
Design
Differential equations
Joining
Mathematical research
Partial differential equations
Simulation
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:1687-5249
1687-5257
DOI:10.1155/2014/946736