Bing Ren1,2 , Guangqing Bao3This email address is being protected from spambots. You need JavaScript enabled to view it.
1College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, China
2School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou, China
3School of Electronics & Information Engineering, Southwest Petroleum University, Chengdu, China
Received: April 10, 2022 Accepted: July 26, 2023 Publication Date: October 5, 2023
Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.
For simple-input and simple-output (SISO) discrete-time nonlinear systems, an observer-based event-triggered model-free adaptive sliding mode predictive control technique (EMFASPC) is put forth in this study. The estimate of pseudo partial derivatives (PPD) and the transmission of I/O data are both carried out aperiodically at the time of event triggering to conserve network resources. A unified framework of event-triggered modelfree adaptive control with an adaptive observer and an event-triggered PPD estimation method is constructed based on the equivalent data model after compact format dynamic linearization (CFDL). The controller part adopts integral sliding mode control (SMC) combined with a rolling optimization idea of model predictive control (MPC) to predict the expected trajectory of the sliding mode state and generate the optimal control input. According to the relationship among the system tracking error, current measurement data, and the previous trigger time output, the event trigger condition is set to determine the next event trigger time, which reduces the unnecessary transmission on the premise of system stability. The stability performance of the closed-loop system is analyzed by the Lyapunov method. Finally, numerical simulation and the shell-and-tube heat exchanger control system simulation are carried out to verify that the proposed algorithm has good robustness and tracking accuracy under the limited bandwidth and computing resources.
Keywords: Adaptive observer, Compact format dynamic linearization, Event-triggered, Sliding mode predictive control, Model-free adaptive control
[1] Z. Hou. Model Free Adaptive Control: Theory and Applications. Model Free Adaptive Control: Theory and Applications, 2013. DOI: 10.1201/b15752.
[2] Z. Hou and S. Jin, (2010) “A novel data-driven control approach for a class of discrete-time nonlinear systems" IEEE Transactions on Control Systems Technology 19(6): 1549–1558. DOI: 10.1109/TCST.2010.2093136.
[3] S. Xiong and Z. Hou, (2020) “Model-free adaptive control for unknown MIMO nonaffine nonlinear discretetime systems with experimental validation" IEEE Transactions on Neural Networks and Learning Systems 33(4): 1727–1739. DOI: 10.1109/TNNLS.2020.3043711.
[4] D. Xu, B. Jiang, and P. Shi, (2013) “Adaptive observer based data-driven control for nonlinear discrete-time processes" IEEE transactions on automation science and engineering 11(4): 1037–1045. DOI: 10.1109/TASE. 2013.2284062.
[5] D. Xu, Y. Shi, and Z. Ji, (2017) “Model-free adaptive discrete-time integral sliding-mode-constrained-control for autonomous 4WMV parking systems" IEEE Transactions on Industrial Electronics 65(1): 834–843. DOI: 10.1109/TIE.2017.2739680.
[6] M. Hou and Y. Wang, (2021) “Data-driven adaptive terminal sliding mode control with prescribed performance" Asian Journal of Control 23(2): 774–785. DOI: 10.1002/asjc.2245.
[7] Y. Zhao, X. Liu, H. Yu, and J. Yu, (2020) “Model-free adaptive discrete-time integral terminal sliding mode control for PMSM drive system with disturbance observer" IET Electric Power Applications 14(10): 1756–1765. DOI: 10.1049/iet-epa.2019.0966.
[8] Y. Weng and X. Gao, (2016) “Data-driven robust output tracking control for gas collector pressure system of coke ovens" IEEE Transactions on Industrial Electronics 64(5): 4187–4198. DOI: 10.1109/TIE.2016.2613509.
[9] X. Shi, Y. Cao, Y. Li, J. Ma, M. Shahidehpour, X. Wu, and Z. Li, (2020) “Data-driven model-free adaptive damping control with unknown control direction for wind farms" International Journal of Electrical Power & Energy Systems 123: 106213. DOI: 10.1016/j.ijepes.2020.106213.
[10] S. Li, D. Sauter, and B. Xu, (2015) “Co-design of eventtriggered H∞ control for discrete-time linear parametervarying systems with network-induced delays" Journal of the Franklin Institute 352(5): 1867–1892. DOI: 10.1016/j.jfranklin.2015.02.001.
[11] M. Abdelrahim, R. Postoyan, and J. Daafouz, (2015) “Event-triggered control of nonlinear singularly perturbed systems based only on the slow dynamics" Automatica 52: 15–22. DOI: 10.1016/j.automatica.2014.10.125.
[12] L. Zou, Z. Wang, H. Gao, and X. Liu, (2015) “Eventtriggered state estimation for complex networks with mixed time delays via sampled data information: The continuous-time case" IEEE Transactions on Cybernetics 45(12): 2804–2815. DOI: 10.1109/TCYB.2014. 2386781.
[13] A. Sahoo, X. Hao, and S. Jagannathan, (2016) “Near Optimal Event-Triggered Control of Nonlinear DiscreteTime Systems Using Neurodynamic Programming" IEEE Transactions on Neural Networks & Learning Systems 27(9): 1801–1815. DOI: 10.1109/TNNLS.2015.2453320.
[14] W. Heemels and M. Donkers, (2013) “Periodic eventtriggered control for linear systems" IEEE Transactions on Automatic Control 49(3): 698–711. DOI: 10.1016/j.ijepes.2023.109278.
[15] L. Ma, Z. Wang, H.-K. Lam, and N. Kyriakoulis, (2016) “Distributed event-based set-membership filtering for a class of nonlinear systems with sensor saturations over sensor networks" IEEE transactions on cybernetics 47(11): 3772–3783. DOI: 10.1109/TCYB.2016.2582081.
[16] L. Ding, Q. L. Han, X. Ge, and X. M. Zhang, (2018) “An Overview of Recent Advances in Event-Triggered Consensus of Multiagent Systems" IEEE Transactions on Cybernetics 48(4): 1110–1123. DOI: 10.1109/TCYB. 2017.2771560.
[17] D. Liu and G. H. Yang, (2017) “Event-Based ModelFree Adaptive Control for Discrete-Time Nonlinear Processes" Iet Control Theory & Applications 11(15): 2531–2538.
[18] D. Liu and G.-H. Yang, (2018) “Neural network-based event-triggered MFAC for nonlinear discrete-time processes" Neurocomputing 272: 356–364. DOI: 10.1016/j.neucom.2017.07.008.
[19] N. Lin, R. Chi, and B. Huang, (2019) “Event-triggered model-free adaptive control" IEEE Transactions on Systems, Man, and Cybernetics: Systems 51(6): 3358– 3369. DOI: 10.1109/TSMC.2019.2924356.
[20] Y. Wang, X. Qiu, H. Zhang, and X. Xie, (2021) “Datadriven-based event-triggered control for nonlinear CPSs against jamming attacks" IEEE Transactions on Neural Networks and Learning Systems 33(7): 3171–3177. DOI: 10.1109/TNNLS.2020.3047931.
[21] H. F. Li, Y. C. Wang, and H. G. Zhang, (2019) “Datadriven-based event-triggered tracking control for nonlinear systems with unknown disturbance" Control Theory & Applications, IET 13(14): 2197–2206. DOI: 10.1049/iet-cta.2019.0051.
[22] C. Gao, W. Zhang, D. Xu, W. Yang, and T. Pan, (2022) “Event-triggered based model-free adaptive sliding mode constrained control for nonlinear discrete-time systems" International Journal of Innovative Computing, Information and Control 18(2): 525–536. DOI: 10.24507/ijicic.18.02.525.
[23] Y. S. Ma, W. W. Che, and C. Deng, (2022) “Eventtriggered model-free adaptive control for nonlinear cyberphysical systems with false data injection attacks" International Journal of Robust and Nonlinear Control 32(4): 2442–2452. DOI: 10.1002/rnc.5958.
[24] J. Liu, Member, IEEE, S. Vazquez, and S. Member, (2016) “Extended State Observer-Based Sliding-Mode Control for Three-Phase Power Converters" IEEE Transactions on Industrial Electronics 64(1): 22–31. DOI: 10.1109/TIE.2016.2610400.
[25] W. Garcia-Gabin, D. Zambrano, and E. F. Camacho, (2009) “Sliding mode predictive control of a solar air conditioning plant" Control Engineering Practice 17(6): 652–663. DOI: 10.1016/j.conengprac.2008.10.015.
[26] Q. Xu, (2016) “Digital Integral Terminal Sliding Mode Predictive Control of Piezoelectric-Driven Motion System" IEEE Transactions on Industrial Electronics 63(6): 3976–3984. DOI: 10.1109/TIE.2015.2504343.
[27] S. Kang, H. Wu, X. Yang, Y. Li, J. Yao, B. Chen, and H. Lu, (2021) “Discrete-time predictive sliding mode control for a constrained parallel micropositioning piezostage" IEEE Transactions on Systems, Man, and Cybernetics: Systems 52(5): 3025–3036. DOI: 10.1109/TSMC.2021.3062581.
[28] H. Li, H. Yang, F. Sun, and Y. Xia, (2014) “SlidingMode Predictive Control of Networked Control Systems Under a Multiple-Packet Transmission Policy" IEEE Transactions on Industrial Electronics 61(11): 6234– 6243. DOI: 10.1109/TIE.2014.2311411.
[29] Z. Tian, J. Yuan, X. Zhang, L. Kong, and J. Wang, (2018) “Modeling and sliding mode predictive control of the ultra-supercritical boiler-turbine system with uncertainties and input constraints" ISA transactions 76: 43– 56. DOI: 10.1016/j.isatra.2018.03.004.
[30] E. Eskinat, S. H. Johnson, and W. L. Luyben, (1991) “Use of Hammerstein models in identification of nonlinear systems" AIChE Journal 37(2): 255–268. DOI: 10.1002/aic.690370211.
We use cookies on this website to personalize content to improve your user experience and analyze our traffic. By using this site you agree to its use of cookies.