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Combined with the stability boundary locus method, the PI\u2010PD controller parameters that can ensure stability for the unstable fractional\u2010order system with time delay are obtained. Firstly, the parameters of the inner\u2010loop PD controller are determined by the centre coordinates of the CSR in the <jats:italic>k<\/jats:italic><jats:sub>d<\/jats:sub> \u2212 <jats:italic>k<\/jats:italic><jats:sub>f<\/jats:sub> plane. Secondly, a new graphical method is used to calculate the parameters of the PI controller, in which Fermat points in the CSR of (<jats:italic>k<\/jats:italic><jats:sub>p<\/jats:sub> \u2212 <jats:italic>k<\/jats:italic><jats:sub>i<\/jats:sub>) plane are selected. Furthermore, the method is extended to uncertain systems, and the PI\u2010PD controller parameters are obtained by using the proposed method through common stable region of all stable regions. The proposed graphical method not only ensures the stability of the closed\u2010loop system but also avoids the complicated optimization calculations. The superior control performance of this method is illustrated by simulation.<\/jats:p>","DOI":"10.1155\/2019\/3253497","type":"journal-article","created":{"date-parts":[[2019,10,30]],"date-time":"2019-10-30T23:31:06Z","timestamp":1572478266000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["A New Design Method for PI\u2010PD Control of Unstable Fractional\u2010Order System with Time Delay"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1123-0306","authenticated-orcid":false,"given":"Min","family":"Zheng","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1358-5661","authenticated-orcid":false,"given":"Tao","family":"Huang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4166-9037","authenticated-orcid":false,"given":"Guangfeng","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,10,30]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"crossref","unstructured":"BouabdallahS. 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