{"id":9853,"date":"2026-08-12T14:33:31","date_gmt":"2026-08-12T06:33:31","guid":{"rendered":"\/jase\/?post_type=tkuisotope&#038;p=9853"},"modified":"2026-08-18T11:22:09","modified_gmt":"2026-08-18T03:22:09","slug":"jase-202611-34-041","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=jase-202611-34-041","title":{"rendered":"Design of An ISS-Based Adaptive Controller for A Single- Phase Voltage Source Inverter"},"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=807\" data-type=\"page\" data-id=\"807\">2026<\/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=9439\" data-type=\"page\" data-id=\"9439\">Volume 34<\/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=\"2026-08-12T14:33:31+08:00\">2026-08-12<\/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>Viet-Hoang Nguyen<sup>1<\/sup>, Van-Dat Quan<sup>1<\/sup>, Van-Hoang Truong<sup>1<\/sup>, Duy-Thai Ha<sup>1,2<\/sup>, and Phuong Vu<sup>1<\/sup><a href=\"mailto:phuong.vuhoang@hust.edu.vn\"><i class=\"fa fa-envelope\"><\/i><\/a><\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>1<\/sup>School of Electrical and Electronic Engineering, Ha Noi University of Science and Technology, Hanoi, Viet Nam<\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>2<\/sup>Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology, Hung Vuong University (HVU), Phu<br>Tho, Vietnam<\/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: January 16, 2026<br>Accepted:&nbsp;July 15, 2026<br>Publication Date:&nbsp;August 12, 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\/08\/34_041.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center\">Proposed&nbsp;ISS-based&nbsp;adaptive&nbsp;controller<\/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:&nbsp; <a href=\"\/jase\/wp-content\/uploads\/2026\/08\/V34.0041.txt\" data-type=\"attachment\" data-id=\"9812\" target=\"_blank\" rel=\"noreferrer noopener\">BibTeX <\/a>| <a rel=\"noreferrer noopener\" href=\"http:\/\/dx.doi.org\/10.6180\/jase.202611_34.041\" target=\"_blank\">http:\/\/dx.doi.org\/10.6180\/jase.202611_34.041<\/a>&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/08\/041_2026_0097_V34.pdf\" data-type=\"attachment\" data-id=\"9876\" 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 presents a novel control approach based on input-to-state stability (ISS) for a single-phase voltage source inverter (VSI). The ISS-based adaptive controller is capable of mitigating the adverse effects of load disturbances that commonly arise in sliding mode control (SMC) schemes, while delivering superior output control performance. However, the application of ISS theory to controller design has not been extensively investigated, mainly due to the difficulty in selecting an appropriate ISS-Lyapunov function (ISS-LF). Therefore, in addition to detailing the controller design procedure, this paper also presents the theoretical basis for ISS-LF selection by combining the Backstepping method with adaptive control. The proposed approach is validated through simulations and experiments. The results demonstrate that the proposed control strategy achieves good performance for the considered system, including fast dynamic response, absence of transient error, global stability, and low THD of the output voltage.<\/p>\n\n\n\n<p><em>Keywords:\u00a0Input-to-state; VSI; Lyapunov stability; ISS-based adaptive controller<\/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<div class=\"container\">\n<div id=\"model-response-message-contentr_53180f64958e6cc2\" class=\"markdown markdown-main-panel md-content enable-luminous-fast-follows enable-updated-hr-color stronger\" dir=\"ltr\" aria-busy=\"false\" aria-live=\"polite\">\n<ol>\n<li>[1] M. Li, Y. Gui, Y. Guan, J. Matas, J. M. Guerrero, and J. C. Vasquez, (2021) \u201cInverter Parallelization for an Islanded Microgrid Using the Hopf Oscillator Controller Approach With Self-Synchronization Capabilities&#8221; IEEE Transactions on Industrial Electronics 68(11): 10879\u201310889. DOI: 10.1109\/TIE.2020.3031520.<\/li>\n<li>[2] N. Abdel-Rahim and J. Quaicoe, (1996) \u201cAnalysis and design of a multiple feedback loop control strategy for single-phase voltage-source UPS inverters&#8221;IEEE Transactions on Power Electronics11(4): 532\u2013541. DOI: 10.1109\/63.506118.<\/li>\n<li>[3] H. Rezazadeh, M. Monfared, M. Fazeli, and S.Golestan. \u201cSingle-phase Grid-forming Inverters: A Review\u201d. In: 2023 International Conference<br>on Computing, Electronics &amp; Communications Engineering (iCCECE). 2023, 7\u201310. DOI: 10.1109\/iCCECE59400.2023.10238661.<\/li>\n<li>[4] M. Blachuta, Z. Rymarski, R. Bieda, K. Bernacki, and R. Grygiel. \u201cDesign, Modeling and Simulation of PID Control for DC\/AC Inverters\u201d. In: 2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR). 2019, 428\u2013433. DOI: 10 . 1109 \/ MMAR . 2019 .8864609.<\/li>\n<li>[5] R. Wu, X. Zhang, and W. Jiang, (2025) \u201cBifurcation analysis and control in a DC\u2013AC inverter with PID controller&#8221; International Journal of Circuit Theory and Applications 53(4): 2125\u20132153. DOI: https:\/\/doi.org\/10.1002\/cta.4209.eprint: https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4209.<\/li>\n<li>[6] H. Komurcugil, N. Altin, S. Ozdemir, and I. Sefa, (2016) \u201cLyapunov-Function and Proportional-Resonant-Based Control Strategy for Single-Phase Grid-Connected VSI With LCL Filter&#8221; IEEE Transactions on Industrial Electronics 63(5): 2838\u20132849. DOI:10.1109\/TIE.2015.2510984.<\/li>\n<li>[7] A. Cherifi, A. Chouder, A. Kessal, A. Hadjkaddour, A. Aillane, and K. Louassaa. \u201cControl of a Voltage Source Inverter in a Microgrid Architecture using PI and PR Controllers\u201d. In: 2022 19th International Multi-Conference on Systems, Signals &amp; Devices (SSD). 2022, 1471\u20131477. DOI:10.1109\/SSD54932.2022.9955891.<\/li>\n<li>[8] M. Tahmid Wara Ucchas, M. Mustafiz Nuhas, M. Toufiquzzaman, A. Jaber Mahmud, and M. Fokhrul Islam. \u201cPerformance and Comparative Analysis of PI and PID Controller-based<br>Single Phase PWM Inverter Using MATLAB Simulink for Variable Voltage\u201d. In: 2022 Second International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT). 2022, 1\u20136. DOI: 10.1109\/ICAECT54875.2022.9807857.<\/li>\n<li>[9] S. Li, J. Yang,W.-H. Chen, and X. Chen. \u201cDisturbance Observer-Based Control: Methods and Applications\u201d. In: Boca Raton, FL: CRC Press, 2016. Chap. 3. DOI: 10.1201\/b16570.<\/li>\n<li>[10] E. Sariyildiz and K. Ohnishi. \u201cRobust stability analysis of the system with disturbance observer: The real parametric uncertainty approach I\u201d. In: 2012 IEEE International Conference on Mechatronics and Automation. 2012, 1779\u20131784. DOI: 10.1109\/ICMA.2012.6285091.<\/li>\n<li>[11] X. Zhang, J. He, H. Ma, Z. Ma, and X. Ge. \u201cAn Adaptive Dual-loop Lyapunov-Based Control Scheme for a Single-Phase Stand-Alone Inverter to Improve Its Large-Signal Stability\u201d. In: Stability Enhancement Methods of Inverters Based on Lyapunov Function, Predictive Control, and Reinforcement Learning. Singapore: Springer Nature Singapore, 2023. Chap. 3, 33\u201346. DOI:10.1007\/978-981-19-7191-4_3.<\/li>\n<li>[12] H. Komurcugil, N. Altin, S. Ozdemir, and I. Sefa, (2015) \u201cAn Extended Lyapunov-Function-Based Control Strategy for Single-Phase UPS Inverters&#8221; IEEE Transactions on Power Electronics 30(7): 3976\u20133983. DOI: 10.1109\/TPEL.2014.2347396.<\/li>\n<li>[13] H. Komurcugil, S. Biricik, S. Bayhan, and Z. Zhang, (2021) \u201cSliding Mode Control: Overview of Its Applications in Power Converters&#8221; IEEE Industrial Electronics Magazine 15(1): 40 49. DOI:10.1109\/MIE.2020.2986165.<\/li>\n<li>[14] X. Yu, Y. Feng, and Z. Man, (2021) \u201cTerminal Sliding Mode Control \u2013 An Overview&#8221; IEEE Open Journal of the Industrial Electronics Society 2: 36\u201352. DOI: 10.1109\/OJIES.2020.3040412.<\/li>\n<li>[15] J. Samantaray and S. Chakrabarty. \u201cDiscrete Time Sliding Mode Control\u201d. In: Control Theory in Engineering. Ed. by C. Volo\u00b8sencu, A. Saghafinia, X. Du, and S. Chakrabarty. London, UK: IntechOpen, 2020. Chap. 5. DOI: 10.5772\/intechopen.91245.<\/li>\n<li>[16] L. Zheng, F. Jiang, J. Song, Y. Gao, and M. Tian, (2018) \u201cA Discrete-Time Repetitive Sliding Mode Control for Voltage Source Inverters&#8221; IEEE Journal of Emerging and Selected Topics in Power Electronics 6(3): 1553\u20131566. DOI: 10 . 1109 \/JESTPE.2017.2781701.<\/li>\n<li>[17] W. Gao, Y. Wang, and A. Homaifa, (1995) \u201cDiscrete-time variable structure control systems&#8221; IEEE Transactions on Industrial Electronics 42(2): 117\u2013122. DOI: 10.1109\/41.370376.<\/li>\n<li>[18] H. Pinheiro, A. Martins, and J. Pinheiro. \u201cA sliding mode controller in single phase voltage source inverters\u201d. In: Proceedings of IECON\u201994- 20th Annual Conference of IEEE Industrial Electronics. 1. 1994, 394\u2013398 vol.1. DOI: 10.1109\/IECON.1994.397810.<\/li>\n<li>[19] E. D. Sontag. \u201cInput to State Stability: Basic Concepts and Results\u201d. In: Nonlinear and Optimal Control Theory. Ed. by P. Nistri and G. Stefani. 1932. Lecture Notes in Mathematics. Berlin, Heidelberg: Springer, 2008, 163\u2013220. DOI: 10.1007\/978-3-540-77653-6_3.<\/li>\n<li>[20] A. Aleksandrov, D. Efimov, and S. Dashkovskiy, (2023) \u201cDesign of finite-\/fixed-time ISS-Lyapunov functions for mechanical systems&#8221; Mathematics of Control, Signals, and Systems 35(1): 1\u201329. DOI: 10.1007\/s00498-022-00338-x.<\/li>\n<li>[21] E. D. Sontag, (1989) \u201cA \u2018universal\u2019 construction of Artstein\u2019s theorem on nonlinear stabilization&#8221; Systems &amp; Control Letters 13(2): 117\u2013123. DOI: https:\/\/doi.org\/10.1016\/0167-6911(89)90028-5.<\/li>\n<li>[22] E. D. Sontag and Y. Wang, (1995) \u201cOn characterizations of the input-to-state stability property&#8221; Systems &amp; Control Letters 24(5): 351\u2013359. DOI: https:\/\/doi.org\/10.1016\/0167-6911(94)00050-6.<\/li>\n<li>[23] E. D. Sontag, (1995) \u201cOn the Input-to-State Stability Property&#8221; European Journal of Control 1(1): 24\u201336. DOI: https:\/\/doi.org\/10.1016\/S0947-3580(95)70005-X.<\/li>\n<li>[24] Y. Lin, E. D. Sontag, and Y. Wang, (1996) \u201cA Smooth Converse Lyapunov Theorem for Robust Stability&#8221; SIAM Journal on Control and Optimization 34(1): 124\u2013160. DOI: 10 . 1137 \/ S0363012993259981.<\/li>\n<li>[25] E. Kolbasi and M. Seker. \u201cNonlinear robust backstepping control method approach for single phase inverter\u201d. In: 2016 21st International Conference on <span style=\"font-size: revert;\">Methods and Models in Automation <\/span><span style=\"font-size: revert;\">and Robotics (MMAR). 2016, 954\u2013958. DOI:<\/span><span style=\"font-size: revert;\">10.1109\/MMAR.2016.7575266.<\/span><\/li>\n<li>[26] A. Latif, L. Khan, and S. Ahmad. \u201cNonlinear Backstepping Based Control of Single-phase Inverter in a Standalone Photovoltaic System\u201d. In: 2021 International Bhurban Conference on Applied Sciences and Technologies (IBCAST). 2021, 636\u2013641. DOI: 10 . 1109 \/ IBCAST51254 . 2021 .9393189.<\/li>\n<li>[27] O. Diouri, N. Es-Sbai, F. Errahimi, A. Gaga, and C. Alaoui. \u201cControl of single phase inverter using back-stepping in stand-alone mode\u201d. In: 2019 International Conference on Wireless Technologies, Embedded and Intelligent Systems (WITS). 2019, 1\u20136. 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Chap. 4.<\/li>\n<\/ol>\n<\/div>\n<\/div>\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":[12,1682,6],"tags":[1723],"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:&nbsp; BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.202611_34.041&nbsp;&nbsp; Download PDF This paper presents a novel control approach based on input-to-state stability&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/9853"}],"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=9853"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9853"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9853"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}