{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:48:48Z","timestamp":1777704528763,"version":"3.51.4"},"reference-count":38,"publisher":"SAGE Publications","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2020,11,19]]},"abstract":"<jats:p>In this paper, by replacing the integral mass flow equation to fractional-order mass flow equation, the fractional-order mathematical model of 2DOF pneumatic-hydraulic upper limb rehabilitation training system is established. A new 2DOF fractional-order fuzzy PID (FOFPID) controller is designed, to provides a new reference for improving the control accuracy of the pneumatic system. In the design of the controller, the weight parameters of the input terms are transformed into the weight parameters of the error, and the input, which are analyzed to improve the accuracy of the controller design. The parameters of the control system are determined by multi-objective particle swarm optimization. To prove the effectiveness of the proposed control method, the experimental research was carried out by building the experimental platform of pneumatic-hydraulic upper limb rehabilitation training system. The results show that the 2DOF FOFPID controller has better performance than other designed controllers under different working conditions.<\/jats:p>","DOI":"10.3233\/jifs-200891","type":"journal-article","created":{"date-parts":[[2020,7,31]],"date-time":"2020-07-31T12:56:29Z","timestamp":1596200189000},"page":"7639-7651","source":"Crossref","is-referenced-by-count":1,"title":["Fractional-order modeling and control of pneumatic-hydraulic upper limb rehabilitation training system1"],"prefix":"10.1177","volume":"39","author":[{"given":"Hongyan","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, West Hi-Tech Zone, Chengdu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhi","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, West 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