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In this paper, a novel multivariable nonlinear robust control method for turbofan engines is proposed to improve the control performance within the large region. To enlarge the controllable region, a polynomial state-space model describes the nonlinear characteristics of turbofan engines. Based on the analysis of the closed-loop control system, by using the Lyapunov function theorems, a polynomial robust controller is designed to ensure the stability and desired nonlinear control performance of turbofan engines. Compared with the classical PI, mixed sensitivity, and H\u221e control, simulation results show that the proposed method has better transient responses, disturbance rejection, and other control performance for the turbofan engine within the large region. <\/jats:p>","DOI":"10.1177\/01423312211039641","type":"journal-article","created":{"date-parts":[[2021,10,1]],"date-time":"2021-10-01T23:20:41Z","timestamp":1633130441000},"page":"1029-1044","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A novel multivariable nonlinear robust control design for turbofan engines"],"prefix":"10.1177","volume":"44","author":[{"given":"Dingding","family":"Cheng","sequence":"first","affiliation":[{"name":"Department of Automation, Xiamen University, China"},{"name":"Shenzhen Research Institute of Xiamen University, China"}]},{"given":"Lijun","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Automation, Xiamen University, China"},{"name":"Shenzhen Research Institute of Xiamen University, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4550-6182","authenticated-orcid":false,"given":"Zhen","family":"Yu","sequence":"additional","affiliation":[{"name":"Department of Automation, Xiamen University, China"}]}],"member":"179","published-online":{"date-parts":[[2021,10,1]]},"reference":[{"issue":"7","key":"bibr1-01423312211039641","first-page":"3572","volume":"2019","author":"Bing Y","year":"2018","journal-title":"IEEE Access"},{"key":"bibr2-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1745"},{"key":"bibr3-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-017-0159-2"},{"key":"bibr4-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1109\/87.880600"},{"issue":"27","key":"bibr5-01423312211039641","first-page":"2102","volume":"2017","author":"Dong Y","year":"2016","journal-title":"International Journal of Robust and Nonlinear Control"},{"key":"bibr6-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2015.1110640"},{"issue":"1","key":"bibr7-01423312211039641","first-page":"18","volume":"233","author":"Dong Y","year":"2019","journal-title":"Proceeding of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"},{"issue":"2020","key":"bibr8-01423312211039641","first-page":"431","volume":"512","author":"Dong Y","year":"2020","journal-title":"Information Sciences"},{"key":"bibr9-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1109\/87.974340"},{"key":"bibr10-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.704"},{"key":"bibr11-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-014-0533-2"},{"volume-title":"Advanced Control of Turbofan Engines","year":"2012","author":"Hanz R","key":"bibr12-01423312211039641"},{"issue":"111601","key":"bibr13-01423312211039641","first-page":"1","volume":"133","author":"Hui Z","year":"2011","journal-title":"Journal of Engineering for Gas Turbines and Power"},{"key":"bibr14-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2015.1332"},{"issue":"8","key":"bibr15-01423312211039641","first-page":"1","volume":"138","author":"Jiqiang W","year":"2016","journal-title":"Journal of Dynamic Systems, Measurement, and Control"},{"issue":"094502","key":"bibr16-01423312211039641","first-page":"1","volume":"134","author":"Jiqiang W","year":"2012","journal-title":"Journal of Engineering for Gas Turbines and Power"},{"key":"bibr17-01423312211039641","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2017.03.045"},{"key":"bibr18-01423312211039641","unstructured":"Jung LL (2014) MATLAB and system identification toolbox release 2015b [software]. 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