{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T22:53:26Z","timestamp":1772492006879,"version":"3.50.1"},"reference-count":27,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2020,12,12]],"date-time":"2020-12-12T00:00:00Z","timestamp":1607731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, a new Takagi\u2013Sugeno Fuzzy Logic controller (TS-FLC) is presented and applied for modeling and controlling the nonlinear power systems even in the presence of disturbances. Firstly, a nonlinear mathematical model for the electrical power system is presented with consideration of PSS and AVR controller. Then, a Takagi\u2013Sugeno Fuzzy Logic controller is employed to control power system stability. Nevertheless, the study of the stability of Takagi\u2013Sugeno fuzzy models will be difficult in the case where the number of nonlinearities is important. To cope with this problem, this study proposed a methodology to reduce the number of rules and to guarantee the global stability of the power system. The new model included only two rules. All the other nonlinearities were considered as uncertainties. In addition, a Parallel Distributed Compensation controller is designed using the Linear Matrix Inequalities constraints in order to guarantee system stability. Finally, this approach is applied on a Single Machine Infinite Bus affected by fault perturbation. To show the novelty of Takagi Sugeno\u2019s method, we compared our approach to the Taylor linearization method. The numerical simulations prove the feasibility and performance of the proposed method.<\/jats:p>","DOI":"10.3390\/sym12122068","type":"journal-article","created":{"date-parts":[[2020,12,14]],"date-time":"2020-12-14T00:45:36Z","timestamp":1607906736000},"page":"2068","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6819-3695","authenticated-orcid":false,"given":"Badr","family":"Alshammari","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, College of Engineering, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia"}]},{"given":"Rim","family":"Ben Salah","sequence":"additional","affiliation":[{"name":"Control &amp; Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, Tunisia"}]},{"given":"Omar","family":"Kahouli","sequence":"additional","affiliation":[{"name":"Control &amp; Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, Tunisia"},{"name":"Department of Electronics Engineering, Community College, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4368-7458","authenticated-orcid":false,"given":"Lioua","family":"Kolsi","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, College of Engineering, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2020,12,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Eremia, M., and Shahidehpour, M. 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