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Both the dilution rate and the concentration of glycerol in the input feed are used as control variables, and these variables are further assumed to be in the form of a linear combination of biomass and glycerol concentrations. Unlike the general form of linear feedback control, the coefficients of linear combination are continuous functions with respect to time. Inspired by the control parameterization method, we use the piecewise\u2010constant functions to approximate the coefficient functions; then we get the multistage feedback control law by solving nonlinear mathematical programming problems. Numerical results indicate the flexibility and effectiveness of our strategy.<\/jats:p>","DOI":"10.1155\/2019\/6252607","type":"journal-article","created":{"date-parts":[[2019,3,24]],"date-time":"2019-03-24T23:30:39Z","timestamp":1553470239000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Multistage Feedback Control Strategy for Producing 1,3\u2010Propanediol in Microbial Continuous Fermentation"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4831-9331","authenticated-orcid":false,"given":"Honghan","family":"Bei","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8573-1213","authenticated-orcid":false,"given":"Lei","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Jing","family":"Sun","sequence":"additional","affiliation":[]},{"given":"Liwei","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,3,24]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2014.10.023"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2009.5.835"},{"key":"e_1_2_10_3_2","first-page":"771","article-title":"Parameter identification and optimization of process for bio-dissimilation of glycerol to 1, 3-propanediol in batch culture","volume":"46","author":"Gao C. 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