In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper addresses the set-point control problem of a one-dimensional heat equation with in-domain actuation.
The proposed scheme is based on the framework of zero-dynamics inverse combined with flat system control.
Moreover, the set-point control is cast into a motion planning problem of a multiple-input, multiple-output system, which is solved by a Green’s function-based reference trajectory decomposition.
The validity of the proposed method is assessed through the analysis of the invertibility of the map generated by Green’s function and the convergence of the regulation error.
The performance of the developed control scheme and the viability of the proposed approach are confirmed by numerical simulation of a representative system.
American Psychological Association (APA)
Zheng, Jun& Zhu, Guchuan. 2015. In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073166
Modern Language Association (MLA)
Zheng, Jun& Zhu, Guchuan. In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073166
American Medical Association (AMA)
Zheng, Jun& Zhu, Guchuan. In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073166
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073166