{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T21:34:24Z","timestamp":1767648864131,"version":"3.48.0"},"reference-count":23,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2011,10,27]],"date-time":"2011-10-27T00:00:00Z","timestamp":1319673600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2012,4]]},"abstract":"<jats:p>This paper deals with the problem of robust fuzzy control for uncertain passive discrete-time non-linear stochastic systems with multiplicative noise. In this paper the non-linear stochastic system is represented by a Takagi\u2013Sugeno fuzzy model. Using that approach the concept of parallel distributed compensation is applied to construct the fuzzy controller. Sufficient stability conditions are derived in terms of a linear matrix inequality by applying the Lyapunov theory. In addition, the passivity theory and robust technique are used to guarantee strict input passivity and robust asymptotical stability of the closed-loop system with admissible parameter uncertainties. Finally, a numerical example concerning the control of a truck\u2013trailer system is provided to demonstrate the validity of the proposed fuzzy controller design method.<\/jats:p>","DOI":"10.1177\/0959651811424379","type":"journal-article","created":{"date-parts":[[2011,10,27]],"date-time":"2011-10-27T20:50:00Z","timestamp":1319748600000},"page":"476-485","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Fuzzy control with robust and passive properties for discrete-time Takagi\u2013Sugeno fuzzy systems with multiplicative noises"],"prefix":"10.1177","volume":"226","author":[{"given":"W-J","family":"Chang","sequence":"first","affiliation":[{"name":"Department of Marine Engineering, National Taiwan Ocean University, Keelung Taiwan, Republic of China"}]},{"given":"S-S","family":"Jheng","sequence":"additional","affiliation":[{"name":"Department of Marine Engineering, National Taiwan Ocean University, Keelung Taiwan, Republic of China"}]},{"given":"C-C","family":"Ku","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, National Taiwan Ocean University, Keelung, Taiwan, Republic of China"}]}],"member":"179","published-online":{"date-parts":[[2011,10,27]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)00045-W"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(00)00164-3"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/9.995042"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/0471224596"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.3166\/ejc.11.269-277"},{"key":"e_1_3_2_7_2","first-page":"1775","volume-title":"Proceedings of the IEEE Conference on Decision and control","volume":"2","author":"Byrnes C. 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