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Optimal Control and Stabilization for Networked Control Systems Subject to Intermittent Observations and One-step Delayed Measurement

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  • Control Theory and Applications
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Abstract

This paper concerns the control problem for networked control systems (NCSs) with local and remote controllers (LRC) subject to one-step delay and intermittent observations. The main contributions lie in two aspects. Firstly, for the finite-horizon case, applying the maximum principle and the completing square, a necessary and sufficient condition is derived for the solvability of the optimal control problem. Meanwhile, we obtain the explicit controller which is a linear function of the optimal state estimator, with the feedback gain based on the coupled Riccati equations. Secondly, for the infinite-horizon case, a necessary and sufficient condition of the stabilization in the mean square sense for the system without additive noise is derived and a sufficient condition is developed for the boundedness in the mean square sense of the system with the additive noise. Numerical examples are given to show that the proposed algorithms are valid.

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Author information

Authors and Affiliations

  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 250061, China

    Na Wang, Haixia Wang & Chuanzhi Lv

  2. School of Automation and Electrical Engineering, Linyi University, Linyi, 276000, China

    Xiao Liang

  3. Qingdao Borsen Intelligent Technology Co., Ltd., Qingdao, 250061, China

    Haixia Wang

  4. College of Energy Storage Technology, Shandong University of Science and Technology, Qingdao, Shandong, 250061, China

    Xiao Lu

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  1. Na Wang
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Correspondence to Xiao Lu.

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Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Na Wang received her B.S. and M.S. degrees from Shandong University of Science and Technology, Qingdao, China, in 2014 and 2018, respectively, where she is currently pursuing a Ph.D. degree in control theory and control engineering. Her research interests include decentralized optimal control and stochastic systems.

Xiao Liang received his B.S. degree in automation engineering from Qingdao University, Qingdao, China in 2011, and an M.S. degree in control engineering from Northeastern University, Shenyang, China in 2013, and a Ph.D. degree in control science and engineering from Shandong University, Shandong, China in 2018. He is currently an associate professor in the College of Electrical Engineering and Automation, Shandong University of Science and Technology, Taian, China. His research interests include optimal control, time-delay system, stabilization, and optimal estimation.

Haixia Wang graduated from Dalian Jiaotong University, China, 2002. She received her M.Sc. and Ph.D. degrees from Dalian University of Technology and Institute of Automation, Chinese Academy of Sciences, in 2005 and 2013, respectively. She is now an associate professor at Shandong University of Science and Technology, and has been a visiting scholar in Ohio State University Columbus. Her research interests include robotics, computer vision, and machine learning and control.

Chuanzhi Lv Chuanzhi Lv received his B.S. degree from Shandong University of Science and Technology, Qingdao, China, in 2019. He is currently pursuing a Ph.D. degree in control theory and control engineering in Shandong University of Science and Technology, Qingdao, China. His research interests include optimal control and optimal estimation.

Xiao Lu graduated from the College of Electron and Information, Dalian Jiaotong University in 1998. He received a Ph.D. degree from Dalian University of Technology. He is now a professor at Shandong University of Science and Technology. His research interests include estimation and optimal control.

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This work was supported by the National Natural Science Foundation of China (62273213, 62073199, 62203280, 61903233), the Natural Science Foundation of Shandong Province for Innovation and Development Joint Funds (ZR2022LZH001), the Natural Science Foundation of Shandong Province (ZR2020MF095, ZR2022MF341), Taishan Scholarship Construction Engineering, Major Basic Research of Natural Science Foundation of Shandong Province (ZR2021ZD14), High-level Talent Team Project of Qingdao West Coast New Area (RCTD-JC-2019-05).

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Wang, N., Liang, X., Wang, H. et al. Optimal Control and Stabilization for Networked Control Systems Subject to Intermittent Observations and One-step Delayed Measurement. Int. J. Control Autom. Syst. 21, 1197–1209 (2023). https://doi.org/10.1007/s12555-021-0949-4

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  • DOI: https://doi.org/10.1007/s12555-021-0949-4

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