{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T07:33:36Z","timestamp":1773819216269,"version":"3.50.1"},"reference-count":48,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,12,10]],"date-time":"2024-12-10T00:00:00Z","timestamp":1733788800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006261","name":"Taif University, Saudi Arabia","doi-asserted-by":"publisher","award":["TU-DSPP-2024-34"],"award-info":[{"award-number":["TU-DSPP-2024-34"]}],"id":[{"id":"10.13039\/501100006261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Many existing control techniques proposed in the literature tend to overlook faults and physical limitations in the systems, which significantly restricts their applicability to practical, real-world systems. Consequently, there is an urgent necessity to advance the control and synchronization of such systems in real-world scenarios, specifically when faced with the challenges posed by faults and physical limitations in their control actuators. Motivated by this, our study unveils an innovative control approach that combines a neural network-based sliding mode algorithm with fuzzy logic systems to handle nonlinear systems. This proposed controller is further enhanced with an intelligent observer that takes into account potential faults and limitations in the control actuator, and it integrates a fuzzy logic engine to regulate its operations, thus reducing system chatter and increasing its adaptability. This strategy enables the system to maintain regulation in the face of control input constraints and faults and ensures that the closed-loop system will achieve convergence within a finite-time frame. The detailed explanation of the control design confirms its finite-time stability. The robust performance of the proposed controller applied to autonomous and non-autonomous systems grappling with control input limitations and faults demonstrates its effectiveness.<\/jats:p>","DOI":"10.3390\/e26121078","type":"journal-article","created":{"date-parts":[[2024,12,10]],"date-time":"2024-12-10T11:17:20Z","timestamp":1733829440000},"page":"1078","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Enhanced Control of Nonlinear Systems Under Control Input Constraints and Faults: A Neural Network-Based Integral Fuzzy Sliding Mode Approach"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-1217-3574","authenticated-orcid":false,"given":"Guangyi","family":"Yang","sequence":"first","affiliation":[{"name":"Information Center, Hunan Institute of Metrology and Test, Changsha 410014, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9376-8726","authenticated-orcid":false,"given":"Stelios","family":"Bekiros","sequence":"additional","affiliation":[{"name":"Department of Management, University of Turin (UniTo), 10134 Turin, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7902-407X","authenticated-orcid":false,"given":"Qijia","family":"Yao","sequence":"additional","affiliation":[{"name":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7774-2833","authenticated-orcid":false,"given":"Jun","family":"Mou","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8383-8014","authenticated-orcid":false,"given":"Ayman A.","family":"Aly","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, College of Engineering, Taif University, Taif 21944, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Osama R.","family":"Sayed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1515\/nleng-2016-0077","article-title":"Nonlinear Control Systems-A Brief Overview of Historical and Recent Advances","volume":"6","author":"Iqbal","year":"2017","journal-title":"Nonlinear Eng."},{"key":"ref_2","unstructured":"Alyoussef, F., and Kaya, I. 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