{"id":3023,"date":"2026-04-09T23:20:09","date_gmt":"2026-04-09T15:20:09","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&#038;p=3023"},"modified":"2026-06-08T22:51:37","modified_gmt":"2026-06-08T14:51:37","slug":"quantized-output-observer-based-data-driven-model-free-adaptive-control","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=quantized-output-observer-based-data-driven-model-free-adaptive-control","title":{"rendered":"Quantized Output Observer-based Data Driven Model-free Adaptive Control"},"content":{"rendered":"\n<div class=\"wp-block-tkuwpbs5-bs5-row row article-info\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=2961\" data-type=\"page\" data-id=\"807\">2024<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder-open\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=3017\" data-type=\"page\" data-id=\"1055\">Volume 27, Issue 2<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-6 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div dv_publish\" data-aos=\"normal\"><div class=\"wp-block-post-date\"><time datetime=\"2026-04-09T23:20:09+08:00\">2026-04-09<\/time><\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-row row\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-5 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div au-ol\" data-aos=\"normal\">\n<p>Bing Ren<sup>1,2<\/sup> and Guangqing Bao<sup>3<\/sup><a href=\"mailto:baogq03@163.com\"><i class=\"fa fa-envelope\"><\/i><\/a><\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>1<\/sup>College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, China<\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>2<\/sup>School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou, China<\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>3<\/sup>School of Electronics &amp; Information Engineering, Southwest Petroleum University, Chengdu, China<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div\" style=\"margin-top:var(--wp--preset--spacing--40)\" data-aos=\"normal\">\n<p>Received:\u00a0December 5, 2022<br>Accepted:\u00a0March 13, 2023<br>Publication Date:\u00a0April 9, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-7 align-self-start clk=\u5716\u7247\"><img decoding=\"async\" src=\"\/jase\/wp-content\/uploads\/2026\/04\/27_02_04.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center img_caption\">Quantizaion leves and transmission.<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-small-font-size\"><i class=\"fab fa-creative-commons\"><\/i>&nbsp;<strong>Copyright&nbsp;<\/strong>The Author(s). This is an open access article distributed under the terms of the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\">Creative Commons Attribution&nbsp;License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n<p>Download Citation:\u00a0 <a rel=\"noreferrer noopener\" href=\"\/jase\/wp-content\/uploads\/2026\/01\/jase-202509-28-09-0006.pdf\" data-type=\"link\" data-id=\"\/jase\/wp-content\/uploads\/2026\/01\/jase-202509-28-09-0006.pdf\" target=\"_blank\">BibTeX <\/a>| <a href=\"http:\/\/dx.doi.org\/10.6180\/jase.202402_27(2).0004\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/dx.doi.org\/10.6180\/jase.202402_27(2).0004<\/a>\u00a0\u00a0<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/04\/04_2022_1215_V27i2.pdf\" data-type=\"attachment\" data-id=\"3039\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/p>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>This paper studies the quantized output data observer-based data-driven model-free adaptive control(qMFAC) for discrete-time nonlinear systems with unknown structures and network transmission constraints. First, an adaptive observer based on quantized output data is generated with the use of a logarithmic quantizer, and a pseudo-biased derivative(PPD) estimation scheme based on the output quantized data observer is proposed. By dynamic linearization(DL) techniques, a incomplete equivalent data model containing quantized output data are built. Then, the observer output is used to develop a data-driven model-free adaptive control strategy that only makes use of quantified output and input. With the Lyapunov function and sector boundary approaches, the bounded tracking performance of the proposed qMFAC is strictly theoretical analyzed, and the effectiveness of qMFAC is verified through numerical simulation and simulation experiments of the shell and tube heat exchanger control system.<\/p>\n\n\n\n<p><em>Keywords:\u00a0Quantized output data; Adaptive observer; Data-driven; Logarithmic quantizer; Pseudo-partial derivative;<\/em><\/p>\n\n\n\n<div style=\"height:2rem\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div ref_ol\" data-aos=\"normal\">\n<ol>\n<li>[1] X. Chu and M. Li, (2018) \u201cEvent-triggered fault estimation and sliding mode fault-tolerant control for a class of nonlinear networked control systems&#8221; Journal of the Franklin Institute 355(13): 5475\u20135502.<\/li>\n<li>[2] C. Peng, J. Zhang, and Q.-L. Han, (2018) \u201cConsensus of multiagent systems with nonlinear dynamics using an integrated sampled-data-based event-triggered communication scheme&#8221; IEEE Transactions on Systems, Man, and Cybernetics: Systems 49(3): 589\u2013599.<\/li>\n<li>[3] H. Liang, L. Chen, Y. Pan, and H.-K. Lam, (2022) \u201cFuzzy-based robust precision consensus tracking for uncertain networked systems with cooperative-antagonistic interactions&#8221; IEEE Transactions on Fuzzy Systems:<\/li>\n<li>[4] Z. Cao, B. Niu, G. Zong, and N. Xu, (2023) \u201cSmallgain technique-based adaptive output constrained control design of switched networked nonlinear systems via event-triggered communications&#8221; Nonlinear Analysis: Hybrid Systems 47: 101299.<\/li>\n<li>[5] X. Liu, J. Zhang, and Y. Xia, (2019) \u201cCo-design of quantization and event-driven control for networked control systems&#8221; IEEE Transactions on Systems, Man, and Cybernetics: Systems 51(5): 3103\u20133110.<\/li>\n<li>[6] L. Cao, Y. Pan, H. Liang, and T. Huang, (2022) \u201cObserver-Based Dynamic Event-Triggered Control for Multiagent Systems With Time-Varying Delay&#8221; IEEE Transactions on Cybernetics:<\/li>\n<li>[7] F. Cheng, H. Wang, L. Zhang, A. Ahmad, and N. Xu, (2022) \u201cDecentralized adaptive neural two-bit-triggered control for nonstrict-feedback nonlinear systems with actuator failures&#8221; Neurocomputing 500: 856\u2013867.<\/li>\n<li>[8] L. Xing, C. Wen, H. Su, J. Cai, and L. Wang, (2015) \u201cA new adaptive control scheme for uncertain nonlinear systems with quantized input signal&#8221; Journal of the Franklin Institute 352(12): 5599\u20135610.<\/li>\n<li>[9] S. Song, J. H. Park, B. Zhang, and X. Song, (2021) \u201cComposite adaptive fuzzy finite-time quantized control for full state-constrained nonlinear systems and its application&#8221; IEEE Transactions on Systems, Man, and Cybernetics: Systems 52(4): 2479\u20132490.<\/li>\n<li>[10] X. Song, M. Wang, C. K. Ahn, and S. Song, (2021) \u201cFinite-time fuzzy bounded control for semilinear PDE systems with quantized measurements and markov jump actuator failures&#8221; IEEE Transactions on Cybernetics 52(7): 5732\u20135743.<\/li>\n<li>[11] B. Xuhui, W. Taihua, H. Zhongsheng, and C. Ronghu, (2015) \u201cIterative learning control for discrete-time systems with quantised measurements&#8221; IET Control Theory &amp; Applications 9(9): 1455\u20131460.<\/li>\n<li>[12] X. Cai, K. Shi, S. Zhong, and X. Pang, (2021) \u201cDissipative sampled-data control for high-speed train systems with quantized measurements&#8221; IEEE Transactions on Intelligent Transportation Systems 23(6): 5314\u20135325.<\/li>\n<li>[13] D. Shen and C. Zhang, (2020) \u201cZero-error tracking control under unified quantized iterative learning framework via encoding\u2013decoding method&#8221; IEEE Transactions on Cybernetics 52(4): 1979\u20131991.<\/li>\n<li>[14] X. Chu and M. Li, (2019) \u201cIntegrated event-triggered fault estimation and fault-tolerant control for discretetime fuzzy systems with input quantization and incomplete measurements&#8221; Journal of the Franklin Institute 356(13): 7112\u20137143.<\/li>\n<li>[15] S. Ha, L. Chen, H. Liu, and S. Zhang, (2022) \u201cCommand filtered adaptive fuzzy control of fractional-order nonlinear systems&#8221; European Journal of Control 63: 48\u201360.<\/li>\n<li>[16] H. Qiu, H. Liu, and X. Zhang, (2022) \u201cComposite adaptive fuzzy backstepping control of uncertain fractionalorder nonlinear systems with quantized input&#8221; International Journal of Machine Learning and Cybernetics: 1\u201315. DOI: 10.1007\/s13042-022-01666-9.<\/li>\n<li>[17] Y. Xu, D. Shen, and X. Bu, (2017) \u201cZero-error convergence of iterative learning control using quantized error information&#8221; IMA Journal of Mathematical Control and Information 34(3): 1061\u20131077.<\/li>\n<li>[18] D. Shen and Y. Xu, (2016) \u201cIterative learning control for discrete-time stochastic systems with quantized information&#8221; IEEE\/CAA Journal of Automatica Sinica 3(1): 59\u201367.<\/li>\n<li>[19] S. Lee and H.-J. Song, (2021) \u201cAccurate statistical model of radiation patterns in analog beamforming including random error, quantization error, and mutual coupling&#8221; IEEE Transactions on Antennas and Propagation 69(7): 3886\u20133898.<\/li>\n<li>[20] S. Liu, B. Niu, G. Zong, X. Zhao, and N. Xu, (2022) \u201cData-driven-based event-triggered optimal control of unknown nonlinear systems with input constraints&#8221; Nonlinear Dynamics 109(2): 891\u2013909.<\/li>\n<li>[21] Z. Hou and S. Jin, (2010) \u201cA novel data-driven control approach for a class of discrete-time nonlinear systems&#8221; IEEE Transactions on Control Systems Technology 19(6): 1549\u20131558.<\/li>\n<li>[22] Y. Zhao, X. Liu, H. Yu, and J. Yu, (2020) \u201cModel-free adaptive discrete-time integral terminal sliding mode control for PMSM drive system with disturbance observer&#8221; IET Electric Power Applications 14(10): 1756\u20131765.<\/li>\n<li>[23] X. Bu, Y. Qiao, Z. Hou, and J. Yang, (2018) \u201cModel free adaptive control for a class of nonlinear systems using quantized information&#8221; Asian Journal of Control 20(2): 962\u2013968.<\/li>\n<li>[24] H. Zhang, J. Zhou, Q. Sun, J. M. Guerrero, and D. Ma, (2015) \u201cData-driven control for interlinked AC\/DC microgrids via model-free adaptive control and dual-droop control&#8221; IEEE Transactions on Smart Grid 8(2): 557\u2013571.<\/li>\n<li>[25] Y. Weng and X. Gao, (2016) \u201cData-driven robust output tracking control for gas collector pressure system of coke ovens&#8221; IEEE Transactions on Industrial Electronics 64(5): 4187\u20134198.<\/li>\n<li>[26] S. Zhang, P. Zhou, Y. Xie, and T. Chai, (2022) \u201cImproved model-free adaptive predictive control method for direct data-driven control of a wastewater treatment process with high performance&#8221; Journal of Process Control 110: 11\u201323.<\/li>\n<li>[27] D. Xu, Y. Shi, and Z. Ji, (2017) \u201cModel-free adaptive discrete-time integral sliding-mode-constrained-control for autonomous 4WMV parking systems&#8221; IEEE Transactions on Industrial Electronics 65(1): 834\u2013843.<\/li>\n<li>[28] X. Li, C. Ren, S. Ma, and X. Zhu, (2020) \u201cCompensated model-free adaptive tracking control scheme for autonomous underwater vehicles via extended state observer&#8221; Ocean Engineering 217: 107976.<\/li>\n<li>[29] X. Bu, P. Zhu, Q. Yu, Z. Hou, and J. Liang, (2020) \u201cModel-free adaptive control for a class of nonlinear systems with uniform quantizer&#8221; International Journal of Robust and Nonlinear Control 30(16): 6383\u20136398.<\/li>\n<li>[30] H. Zhao, L. Peng, and H. Yu, (2022) \u201cQuantized modelfree adaptive iterative learning bipartite consensus tracking for unknown nonlinear multi-agent systems&#8221; Applied Mathematics and Computation 412: 126582.<\/li>\n<\/ol>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[10,6,516],"tags":[545],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":"&nbsp;Copyright&nbsp;The Author(s). This is an open access article distributed under the terms of the&nbsp;Creative Commons Attribution&nbsp;License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:\u00a0 BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.202402_27(2).0004\u00a0\u00a0 Download PDF This paper studies the quantized output data observer-based data-driven model-free adaptive&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/3023"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3023"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3023"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3023"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}