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Volume 8 Issue 11
Nov.  2021

IEEE/CAA Journal of Automatica Sinica

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J. Mei, Z. Y. Lu, J. H. Hu, and Y. L. Fan, "Energy-Efficient Optimal Guaranteed Cost Intermittent-Switch Control of a Direct Expansion Air Conditioning System," IEEE/CAA J. Autom. Sinica, vol. 8, no. 11, pp. 1852-1866, Nov. 2021. doi: 10.1109/JAS.2020.1003447
Citation: J. Mei, Z. Y. Lu, J. H. Hu, and Y. L. Fan, "Energy-Efficient Optimal Guaranteed Cost Intermittent-Switch Control of a Direct Expansion Air Conditioning System," IEEE/CAA J. Autom. Sinica, vol. 8, no. 11, pp. 1852-1866, Nov. 2021. doi: 10.1109/JAS.2020.1003447

Energy-Efficient Optimal Guaranteed Cost Intermittent-Switch Control of a Direct Expansion Air Conditioning System

doi: 10.1109/JAS.2020.1003447
Funds:  This paper was supported by the National Natural Science Foundation of China (61773220, 61876192, 61907021), the National Natural Science Foundation of Hubei (ZRMS2019000752) and the Fundamental Research Funds for the Central Universities (2662018QD057, CZT20022, CZT20020), Academic Team in Universities (KTZ20051), and School Talent Funds (YZZ19004)
More Information
  • To improve the energy efficiency of a direct expansion air conditioning (DX A/C) system while guaranteeing occupancy comfort, a hierarchical controller for a DX A/C system with uncertain parameters is proposed. The control strategy consists of an open loop optimization controller and a closed-loop guaranteed cost periodically intermittent-switch controller (GCPISC). The error dynamics system of the closed-loop control is modelled based on the GCPISC principle. The difference, compared to the previous DX A/C system control methods, is that the controller designed in this paper performs control at discrete times. For the ease of designing the controller, a series of matrix inequalities are derived to be the sufficient conditions of the lower-layer closed-loop GCPISC controller. In this way, the DX A/C system output is derived to follow the optimal references obtained through the upper-layer open loop controller in exponential time, and the energy efficiency of the system is improved. Moreover, a static optimization problem is addressed for obtaining an optimal GCPISC law to ensure a minimum upper bound on the DX A/C system performance considering energy efficiency and output tracking error. The advantages of the designed hierarchical controller for a DX A/C system with uncertain parameters are demonstrated through some simulation results.


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    • Guaranteed cost intermittent-switch control is first proposed in energy systems
    • This control method outperforms the guaranteed cost control on energy efficiency
    • This control method can handle the AC system with uncertain time-varying parameters
    • The proposed strategy can improve energy efficiency and comfort levels of AC system


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