{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,31]],"date-time":"2025-07-31T00:36:43Z","timestamp":1753922203463,"version":"3.41.2"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,6,26]],"date-time":"2018-06-26T00:00:00Z","timestamp":1529971200000},"content-version":"vor","delay-in-days":176,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>This article deals with the sliding mode fault\u2010tolerant control (FTC) problem for a nonlinear system described under Takagi\u2010Sugeno (T\u2010S) fuzzy representation. In particular, the nonlinear system is corrupted with multiplicative actuator faults, process faults, and uncertainties. We start by constructing the separated FTC design to ensure robust stability of the closed\u2010loop nonlinear system. First, we propose to conceive an adaptive observer in order to estimate nonlinear system states, as well as robust multiplicative fault estimation. The novelty of the proposed approach is that the observer gains are obtained by solving the multiobjective linear matrix inequality (LMI) optimization problem. Second, an adaptive sliding mode controller is suggested to offer a solution to stabilize the closed\u2010loop system despite the occurrence of real fault effects. Compared with the separated FTC, this paper provides an integrated sliding mode FTC in order to achieve an optimal robustness interaction between observer and controller models. Thus, in a single\u2010step LMI formulation, sufficient conditions are developed with multiobjective optimization performances to guarantee the stability of the closed\u2010loop system. At last, nonlinear simulation results are given to illustrate the effectiveness of the proposed FTC to treat multiplicative faults.<\/jats:p>","DOI":"10.1155\/2018\/1462594","type":"journal-article","created":{"date-parts":[[2018,6,26]],"date-time":"2018-06-26T23:30:50Z","timestamp":1530055850000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Multiplicative Fault Estimation\u2010Based Adaptive Sliding Mode Fault\u2010Tolerant Control Design for Nonlinear Systems"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4723-2506","authenticated-orcid":false,"given":"Ali","family":"Ben Brahim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Slim","family":"Dhahri","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fay\u00e7al","family":"Ben Hmida","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anis","family":"Sellami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,6,26]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/6164841"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/7926280"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-12767-0"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-650-4"},{"key":"e_1_2_11_5_2","first-page":"1471","article-title":"H\u221e fault-tolerant controller design for networked control systems with time-varying actuator faults","volume":"11","author":"Wang J.","year":"2015","journal-title":"International Journal of Innovative Computing Information and Control"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1177\/0959651815621674"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.1985.6313399"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1002\/acs.2374"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1262-z"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2013.04.012"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2014.2308920"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1515\/amcs-2015-0041"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1359"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1545"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-012-0521-3"},{"key":"e_1_2_11_16_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2011.0440"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1177\/0959651816654070"},{"key":"e_1_2_11_18_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3597"},{"key":"e_1_2_11_19_2","doi-asserted-by":"publisher","DOI":"10.1177\/0954410013487614"},{"key":"e_1_2_11_20_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2013.2273477"},{"key":"e_1_2_11_21_2","doi-asserted-by":"crossref","unstructured":"DingS. X. FrankP. M. andDingE. L. An approach to the detection of multiplicative faults in uncertain dynamic systems Proceedings of the 41st IEEE Conference on Decision and Control 2002 2002 Las Vegas NV USA 4371\u20134376 https:\/\/doi.org\/10.1109\/CDC.2002.1185060.","DOI":"10.1109\/CDC.2002.1185060"},{"key":"e_1_2_11_22_2","doi-asserted-by":"crossref","unstructured":"TanC. P.andEdwardsC. Multiplicative fault reconstruction using sliding mode observers 2004 5th Asian Control Conference (IEEE Cat. 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