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For this purpose, this paper presents a new and hybrid control method of the sliding family called Fast Integral Terminal Sliding Mode Control (FITSMC) based on the super twisting reaching law that can overcome these challenges. Also, an estimator for this family is designed to estimate the Equivalent Photovoltaic Resistance (EPR) and update the system model. As such, the control exactness is increased. A new terminal integral sliding surface, which increases convergence speed and accuracy, is featured by the controller described in this paper. Essentially, this sliding surface has dynamics that consist of an integral component that increases accuracy in convergence and a derivative component that increases speed in convergence. In addition, the controller has a new Super-Twisting Reaching Law (STRL) that increases convergence speed and decreases Chattering (Ch). A number of practical experiments were performed in a laboratory setting to demonstrate the performance of the new methodology. The experimental results demonstrate the capabilities of the new methodology to reduce Ch, Convergence Time (CT), and Tracking Error (TE).<\/jats:p>","DOI":"10.1177\/18724981251374433","type":"journal-article","created":{"date-parts":[[2025,9,16]],"date-time":"2025-09-16T16:28:57Z","timestamp":1758040137000},"page":"4229-4241","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A Novel Control Methodology for Photovoltaic Systems with Equivalent Photovoltaic Resistance Compensator"],"prefix":"10.1177","volume":"19","author":[{"given":"Zheng","family":"Li","sequence":"first","affiliation":[{"name":"Cangzhou Normal University, Cangzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jian","family":"Xin","sequence":"additional","affiliation":[{"name":"Cangzhou Normal University, Cangzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Deyue","family":"Meng","sequence":"additional","affiliation":[{"name":"Cangzhou Normal University, Cangzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2025,9,16]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2011.01.053"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/3810970"},{"key":"e_1_3_2_4_2","first-page":"83","article-title":"Optimizing photovoltaic panel performance: a comparative study of meta-heuristic algorithms","volume":"003","author":"Rajan MS","year":"2024","unstructured":"Rajan MS. 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