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In this paper, the T-S fuzzy control is transformed into a time-varying system. By using Riccati differential equation (RDE) and a special optimal-like controller, the T-S fuzzy control can be applied online. We prove that the T-S fuzzy control is stable and the trajectory tracking error converges to a bounded zone. Since RDE can be solved online, the novel T-S fuzzy control is adaptive and more simple and effective than LMI-based methods. We apply successfully this online fuzzy control to an autonomous underwater vehicle.<\/jats:p>","DOI":"10.3233\/jifs-17709","type":"journal-article","created":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T12:39:31Z","timestamp":1512131971000},"page":"3871-3881","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["On-line T-S fuzzy control using Riccati differential equation"],"prefix":"10.1177","volume":"33","author":[{"given":"Jorge","family":"Cervantes","sequence":"first","affiliation":[{"name":"UMI-LAFMIA 3175 CNRS, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico"}]},{"given":"Wen","family":"Yu","sequence":"additional","affiliation":[{"name":"Departamento de Control Autom\u00e1tico, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico"}]},{"given":"Sergio","family":"Salazar","sequence":"additional","affiliation":[{"name":"UMI-LAFMIA 3175 CNRS, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico"}]}],"member":"179","published-online":{"date-parts":[[2017,12]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.1985.6313399"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.5666\/KMJ.2014.54.3.413"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.4025\/actascitechnol.v36i2.16241"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.883415"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2003.814861"},{"key":"e_1_3_1_7_2","unstructured":"TanakaK. and WangH.O. 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