{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T01:19:55Z","timestamp":1777425595475,"version":"3.51.4"},"reference-count":41,"publisher":"Cambridge University Press (CUP)","issue":"12","license":[{"start":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T00:00:00Z","timestamp":1555891200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Robotica"],"published-print":{"date-parts":[[2019,12]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>This paper presents a lower-limb exoskeleton that is actuated by pneumatic muscle actuators (PMAs). This exoskeleton system is composed of the mechanical structures, a treadmill, and a weight support system. With the cooperative work of the three parts, the system aims to assist either the elderly for muscle strengthening by conducting walking activities or the stroke patients during a rehabilitation training program. A mechanism is developed to separate the PMAs from the wearer\u2019s legs to reduce the subject\u2019s physical exertion. Furthermore, considering the difficulty in the modeling of proposed PMAs-driven exoskeleton, a safe and model-free control strategy called proxy-based sliding mode control (PSMC) is used to ensure proper control of the exoskeleton. However, the favorable performances are strongly dependent on the appropriate control parameters, which may be difficult to obtain with blind tuning. Therefore, we propose a global parameters optimization algorithm called switch-mode firefly algorithm (SMFA) to automatically calculate the pre-defined object function and attain the most applicable parameters. Experimental studies are conducted, and the results show the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1017\/s0263574719000511","type":"journal-article","created":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T03:43:19Z","timestamp":1555904599000},"page":"2087-2103","source":"Crossref","is-referenced-by-count":14,"title":["Optimizing Control of Passive Gait Training Exoskeleton Driven by Pneumatic Muscles Using Switch-Mode Firefly Algorithm"],"prefix":"10.1017","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3486-5518","authenticated-orcid":false,"given":"Yu","family":"Cao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6267-8824","authenticated-orcid":false,"given":"Jian","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhangbo","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xikai","family":"Tu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samer","family":"Mohammed","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2019,4,22]]},"reference":[{"key":"S0263574719000511_ref40","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1016\/S0268-0033(00)00016-4","article-title":"Segment inertial properties of Chinese adults determined from magnetic resonance imaging,","volume":"15","author":"Cheng","year":"2000","journal-title":"Clin. Biomech."},{"key":"S0263574719000511_ref33","unstructured":"33. Witte, K. A. , Fatschel, A. M. and Collins, S. H. , \u201cDesign of a Lightweight, Tethered, Torque-Controlled Knee Exoskeleton,\u201d 2017 International Conference on Rehabilitation Robotics (ICORR), London, UK (2017) pp. 1646\u20131653."},{"key":"S0263574719000511_ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2015.2447498"},{"key":"S0263574719000511_ref9","unstructured":"9. Teng, C. , Wong, Z. , Teh, W. and Chong, Y. Z. , \u201cDesign and Development of Inexpensive Pneumatically-Powered Assisted Knee-Ankle-Foot Orthosis for Gait Rehabilitation-Preliminary Finding,\u201d International Conference on Biomedical Engineering (ICoBE), Penang, Malaysia (2012) pp. 28\u201332."},{"key":"S0263574719000511_ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2013.2262074"},{"key":"S0263574719000511_ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2016.05.004"},{"key":"S0263574719000511_ref32","doi-asserted-by":"crossref","first-page":"1078","DOI":"10.1016\/j.eswa.2011.07.108","article-title":"Vector quantization using the firefly algorithm for image compression,","volume":"33","author":"Horng","year":"2012","journal-title":"Expert Syst. 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