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

Jun Mei; Zhenyu Lu; Junhao Hu; Yuling Fan

doi:10.1109/JAS.2020.1003447

Volume 8 Issue 11

Nov. 2021

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2021 > 8(11): 1852-1866

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

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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

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

doi: 10.1109/JAS.2020.1003447

Jun Mei^1
,,
Zhenyu Lu^{2
,
,},
Junhao Hu^1
,,
Yuling Fan^3
,

1.
School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China
2.
School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
3.
College of Informatics, Huazhong Agricultural University, Wuhan 430072, China

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)

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Author Bio:
Jun Mei received the M. Sc. degree in applied mathematics from College of Science, China Three Gorges University, Yichang, China in 2013, the Ph. D. degree from the Department of Electrical, Electronic and Computer Engineering, the University of Pretoria, Pretoria, South Africa in 2018. He is now a Professor with the School of Mathematics and Statistics, South-Central University for Nationalities, China. His current research interests include complex networks, neural network, control theory, stability, energy optimization and control applications. He was a recipient of the outstanding Master Degree Thesis Award from Hubei Province, China

Zhenyu Lu received the B. Sc. degree in electricity from Nanjing institute of Meteorology, Nanjing, China in 1999, the M. Sc. degree in information and communication from Nanjing institute of Meteorology, Nanjing, China in 2002, and the Ph. D. degree from optics engineering from Nanjing University of Science and Technology, Nanjing, China in 2008. He was a Research Associate of Department of the Mathematics and Statistics, University of Strathclyde from 2012 to 2013. He is now a Professor with the School of Electronic and Information Engineering, Nanjing University of Information Science and Technology. His current research interests include neural networks, stochastic control and artificial intelligence. He has published seven international journal papers

Junhao Hu received the B. Sc. degree in mathematics from Central China Normal University, Wuhan, China in 1998, the M. Sc. degree from computer science from South-Central University for Nationalities, Wuhan, China in 2003, and the Ph. D. degree from Control Science and Engineering Department of Huazhong University of Science and Technology, Wuhan, China in 2007. He was a Post-Doctoral Fellow with the Huazhong University of Science and Technology from 2008 to 2010. He was a Research Associate of Department of the Mathematics and Statistics, University of Strathclyde from 2011 to 2012. He is now a Professor with the School of Mathematics and Statistics, South-Central University for Nationalities. His current research interests include neural networks, nonlinear stochastic systems. He has published over ten international journal papers

Yuling Fan received the B. Sc. and M. Sc degrees from the School of Power and Mechanical Engineering, Wuhan University, Wuhan, China in 2011 and 2013, respectively, and the Ph. D. degree from the Department of Electrical, Electronic and Computer Engineering, the University of Pretoria, Pretoria, South Africa in 2018. She is now an Associate Professor with the College of Informatics, Huazhong Agricultural University, China. Her current research interests include energy efficiency, and building retrofitting
Corresponding author: Zhenyu Lu, e-mail: luzhenyu76@163.com
Received Date: 2020-04-30
Revised Date: 2020-06-16
Accepted Date: 2020-07-29

Available Online: 2020-08-25

Abstract

Abstract

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.
- Energy efficiency,
- hierarchical control,
- open loop optimal control,
- optimal guaranteed cost periodically intermittent-switch control

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References

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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

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

doi: 10.1109/JAS.2020.1003447

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