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

Jun Zheng, Guchuan Zhu

Article (2015)

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Abstract

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

Subjects: 2500 Electrical and electronic engineering > 2500 Electrical and electronic engineering
Department: Department of Electrical Engineering
Funders: CRSNG / NSERC, Fundamental Research Funds for the Central Universities
Grant number: 682014CX002EM
PolyPublie URL: https://publications.polymtl.ca/3478/
Journal Title: Mathematical Problems in Engineering (vol. 2015)
Publisher: Hindawi Publishing Corporation
DOI: 10.1155/2015/187284
Official URL: https://doi.org/10.1155/2015/187284
Date Deposited: 06 Nov 2018 13:55
Last Modified: 11 Nov 2022 13:35
Cite in APA 7: 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, 1-10. https://doi.org/10.1155/2015/187284

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