Jun Zheng and 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 |
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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: | 28 Sep 2024 08:21 |
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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