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In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness

Jun Zheng and Guchuan Zhu

Article (2015)

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Cite this document: Zheng, J. & Zhu, G. (2015). In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness. Mathematical Problems in Engineering, 2015, p. 1-10. doi:10.1155/2015/187284
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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.

Uncontrolled Keywords

Mathematics - Optimization and Control; Computer Science - Systems and Control

Open Access document in PolyPublie
Subjects: 2500 Génie électrique et électronique > 2500 Génie électrique et électronique
Department: Département de génie électrique
Research Center: Non applicable
Funders: CRSNG / NSERC, Fundamental Research Funds for the Central Universities
Grant number: 682014CX002EM
Date Deposited: 06 Nov 2018 13:55
Last Modified: 07 Nov 2018 01:20
PolyPublie URL: https://publications.polymtl.ca/3478/
Document issued by the official publisher
Journal Title: Mathematical Problems in Engineering (vol. 2015)
Publisher: Hindawi Publishing Corporation
Official URL: https://doi.org/10.1155/2015/187284


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