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An Error Quasi Quadratic Differential Based Event-triggered MPC for Continuous Perturbed Nonlinear Systems

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  • Control Theory and Applications
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Abstract

A new event-triggered model predictive control (ET-MPC) algorithm is proposed for continuous perturbed nonlinear systems with constraints for the purpose of reducing computing burden and communication transmission. In the first step, an original event triggering condition is constructed based on the slope variation of the state error between the optimal prediction and the real state, i.e., the quasi quadratic differential (QQD) type event-triggered mechanism. Secondly, the dual-mode control has been adopted to deal with the constrained nonlinear systems subject to disturbances, based on which the execution process of the proposed QQD based ET-MPC is described. In addition, the feasibility of the algorithm and closed-loop stability of the system have been strictly proved in theory. Lastly, two simulation examples are utilized to verify the effectiveness and applicability of the proposed algorithm.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an, 710055, China

    Ning He, Qingqing Chen, Zhongxian Xu & Botao Bai

  2. Ministry of Education Key Laboratory for Intelligent Networks and Network Security, Xi’an Jiaotong University, Xi’an, 710049, China

    Ning He & Chao Shen

Authors
  1. Ning He
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  2. Qingqing Chen
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  3. Zhongxian Xu
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Corresponding author

Correspondence to Zhongxian Xu.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was supported by NSFC (No. 61903291) and China Postdoctoral Science Foundation (No. 2019M660257).

Ning He received his B.Eng. and M.Sc. degrees in automation and detection technology and automation from Northwestern Polytechnical University, China in 2011 and 2013, respectively. He received a Ph.D. degree in control systems from University of Alberta, Canada in 2017. He is presently a Professor and Director of the Institute of Electrical Engineering and Automation at Xi’an University of Architecture and Technology. His research interests include robust model predictive control, event-based control and their application to industrial systems.

Qingqing Chen received her B.S. degree from Xi’an University of Architecture and Technology, Xi’an, China, in 2020. She is currently pursuing a master’s degree with the School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, majoring in the energy and power. Her research interests include model predictive control and event-triggered mechanism.

Zhongxian Xu received his B.Eng. degree from Shandong University of Science and Technology, Qingdao, China, in 2017. He is currently pursuing a Ph.D. degree with the School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology. His research interests include model predictive control and event-triggered control. In 2021, he received the Best Student Paper Award in the 10th International Conference on Control, Automation and Information Sciences (ICCAIS 2021).

Botao Bai received his B.S. degree from Xi’an University of Architecture and Technology, Xi’an, China, in 2020. He is currently pursuing a master’s degree with the School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, majoring in mechanical engineering. His research interests include model predictive control, self-triggered and event-triggered mechanism.

Chao Shen received his B.S. degree in automation from Xi’an Jiaotong University, China in 2007; and a Ph.D. degree in control theory and control engineering from Xi’an Jiaotong University, China in 2014. He was a research scholar in Carnegie Mellon University from 2011 to 2013. He is currently a Professor in the School of Electronic and Information Engineering, Xi’an Jiaotong University of China. He serves as the Associate Dean of School of Cyber Security of Xi’an Jiaotong University. He is also with the Ministry of Education Key Lab for Intelligent Networks and Network Security. He has published more than 50 research papers in international referred journals and conferences. His research interests include cyber-physical system optimization and security, network and system security, and artificial intelligence security. He currently serves as an Associate Editor for a number of journals, including Journal of Franklin Institute, IEEE Access, Frontiers of Computer Science, and Engineering.

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He, N., Chen, Q., Xu, Z. et al. An Error Quasi Quadratic Differential Based Event-triggered MPC for Continuous Perturbed Nonlinear Systems. Int. J. Control Autom. Syst. 22, 205–216 (2024). https://doi.org/10.1007/s12555-021-1114-9

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  • DOI: https://doi.org/10.1007/s12555-021-1114-9

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