{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,11]],"date-time":"2025-12-11T03:19:02Z","timestamp":1765423142478,"version":"3.40.5"},"reference-count":40,"publisher":"IGI Global","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,7]]},"abstract":"<jats:p>The control of cyber-physical systems (CPS) is a great challenge for researchers in control theory and engineering mainly because of delays induced by merging computation, communication, and control of physical processes. Consequently, control solutions for time-delay systems can be applied efficiently for many CPS system configurations. In this article, a fractional order PI\u03bb and PI\u03bbD\u00b5 control design is investigated for a class of fractional order time-delay systems. The proposed control design approach is simple and efficient. The controller parameter's adjustment is achieved in two steps: first, the relay approach is used to compute satisfactory classical PID coefficients, namely kp, Ti and Td. Then, the fractional orders \u03bb and \u00b5 are optimized using performance criteria. Simulation results show the efficiency of the proposed design technique and its ability to enhance the PID control performance.<\/jats:p>","DOI":"10.4018\/ijcps.2019070101","type":"journal-article","created":{"date-parts":[[2020,1,24]],"date-time":"2020-01-24T16:20:04Z","timestamp":1579882804000},"page":"1-18","source":"Crossref","is-referenced-by-count":13,"title":["Fractional Order PI\u03bbD\u00b5 Control Design for a Class of Cyber-Physical Systems with Fractional Order Time-Delay models"],"prefix":"10.4018","volume":"1","author":[{"given":"Marwa","family":"Boudana","sequence":"first","affiliation":[{"name":"National Polytechnic School of Constantine, El Khroub, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6931-4911","authenticated-orcid":true,"given":"Samir","family":"Ladaci","sequence":"additional","affiliation":[{"name":"National Polytechnic School of Constantine, El Khroub, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean-Jacques","family":"Loiseau","sequence":"additional","affiliation":[{"name":"Laboratoire des sciences du num\u00e9rique de Nantes (LS2N - ex IRCCyN et LINA), Nantes, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2432","reference":[{"issue":"7","key":"IJCPS.2019070101-0","first-page":"817","article-title":"Methods for computing the time response of fractional-order systems.","volume":"9","author":"D. 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