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Power tracking control of heterogeneous populations of thermostatically controlled loads with partially measured states

Zhenhe Zhang, Jun Zheng and Guchuan Zhu

Article (2024)

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Abstract

This paper presents a new aggregate power tracking control scheme for populations of thermostatically controlled loads (TCLs). The control design is performed in the framework of partial differential equations (PDEs) based on a late-lumping procedure without truncating the infinite-dimensional model describing the dynamics of the TCL population. An input-output linearization control scheme, which is independent of system parameters and uses only partial state measurement, is derived, and a sliding mode-like control is applied to achieve finite-time input-to-state stability for tracking error dynamics. Such a control strategy can ensure robust performance in the presence of modeling uncertainties, while considerably reducing the communication burden in large-scale distributed systems similar to that considered in the present work. A rigorous analysis of the closed-loop stability of the underlying PDE system was conducted, which guarantees the validity of the developed control scheme. Simulation studies were performed while considering two TCL populations with a significant difference in their size, and the results show that the developed control scheme performs well in both cases, thereby confirming the effectiveness of the proposed solution.

Uncontrolled Keywords

aggregate power tracking control; finite-time input-to-state stability; input-output linearization; partial differential equations; thermostatically controlled loads

Subjects: 2500 Electrical and electronic engineering > 2500 Electrical and electronic engineering
2950 Applied mathematics > 2950 Applied mathematics
Department: Department of Electrical Engineering
Funders: NSERC / CRSNG, National Natural Science Foundation of China (NSFC), Fonds de Recherche du Québec - Nature et Technologies (FRQNT)
Grant number: NSFC-11901482, RGPIN-2018-04571
PolyPublie URL: https://publications.polymtl.ca/58202/
Journal Title: IEEE Access (vol. 12)
Publisher: IEEE
DOI: 10.1109/access.2024.3392511
Official URL: https://doi.org/10.1109/access.2024.3392511
Date Deposited: 21 May 2024 10:51
Last Modified: 03 Jun 2024 10:51
Cite in APA 7: Zhang, Z., Zheng, J., & Zhu, G. (2024). Power tracking control of heterogeneous populations of thermostatically controlled loads with partially measured states. IEEE Access, 12, 57674-57687. https://doi.org/10.1109/access.2024.3392511

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