{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:31:30Z","timestamp":1760146290699,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,10,13]],"date-time":"2024-10-13T00:00:00Z","timestamp":1728777600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Basque Government, through the project EKOHEGAZ II","award":["KK-2023\/00051","GIU23\/002","CONV23\/14"],"award-info":[{"award-number":["KK-2023\/00051","GIU23\/002","CONV23\/14"]}]},{"name":"Diputaci\u00f3n Foral de \u00c1lava (DFA), through the project CONAVANTER; to the UPV\/EHU","award":["KK-2023\/00051","GIU23\/002","CONV23\/14"],"award-info":[{"award-number":["KK-2023\/00051","GIU23\/002","CONV23\/14"]}]},{"name":"Mobility Lab Foundation","award":["KK-2023\/00051","GIU23\/002","CONV23\/14"],"award-info":[{"award-number":["KK-2023\/00051","GIU23\/002","CONV23\/14"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Cavitation is a disadvantageous phenomenon that occurs when fluid pressure drops below its vapor pressure. Under these conditions, bubbles form in the fluid. When these bubbles flow into a high-pressure area or tube, they erupt, causing harm to mechanical parts such as centrifugal pumps. The difference in pressure in a fluid is the result of varying temperatures. One way to eliminate cavitation is to reduce the radius of the bubbles to zero before they reach high-pressure areas, using a robust approach. In this paper, sliding mode control is used for this purpose due to its invariance property. To force the radius of the bubbles toward zero and prevent chattering, a new dynamic sliding mode control approach is used. In dynamic sliding mode control, chattering is removed by passing the input control through a low-pass filter, such as an integrator. A general model of the spherical bubble is used, transferred to the state space, and then a state proportional-integral feedback is applied to obtain a linear system with a new input control signal. A comparison is also made with traditional sliding mode control using state feedback, providing a trusted comparison.<\/jats:p>","DOI":"10.3390\/axioms13100706","type":"journal-article","created":{"date-parts":[[2024,10,16]],"date-time":"2024-10-16T10:11:04Z","timestamp":1729073464000},"page":"706","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Dynamic Sliding Mode Control of Spherical Bubble for Cavitation Suppression"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9177-4102","authenticated-orcid":false,"given":"Ali","family":"Karami-Mollaee","sequence":"first","affiliation":[{"name":"Faculty of Electrical and Computer Engineering, Hakim Sabzevari University, Sabzevar 9617976487, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4430-8088","authenticated-orcid":false,"given":"Oscar","family":"Barambones","sequence":"additional","affiliation":[{"name":"Automatic Control and System Engineering Department, University of the Basque Country, UPV\/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1016\/j.addr.2008.03.009","article-title":"Ultrasound, cavitation bubbles and their interaction with cells","volume":"60","author":"Wu","year":"2008","journal-title":"Adv. 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