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Based on the solutions of the generalized Sylvester matrix equation (GSE), the unified explicit parametric expression of the state feedback gain matrix is proposed. The closed loop of the Lorenz system can be transformed into an arbitrary constant matrix with the desired eigenstructure (eigenvalues and eigenvectors). The freedom provided by the parametric control can be fully used to find a controller to satisfy the robustness criteria. A numerical simulation is developed to illustrate the effectiveness of the proposed approach.<\/jats:p>","DOI":"10.1155\/2020\/6548142","type":"journal-article","created":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T21:24:16Z","timestamp":1606253056000},"page":"1-10","source":"Crossref","is-referenced-by-count":3,"title":["Robust Parametric Control of Lorenz System via State Feedback"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0611-5004","authenticated-orcid":true,"given":"Da-Ke","family":"Gu","sequence":"first","affiliation":[{"name":"School of Automation Engineering, Northeast Electric Power University, Jilin, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4993-048X","authenticated-orcid":true,"given":"Da-Wei","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Automation Engineering, Northeast Electric Power University, Jilin, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0212-7980","authenticated-orcid":true,"given":"Yin-Dong","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Automation Engineering, Northeast Electric Power University, Jilin, China"},{"name":"School of Electrical Engineering, Shenyang University of Technology, Shenyang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:dnf>2.0.co;2"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.02.008"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1002\/cta.2353"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.581"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2018.10.029"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/tcsi.2011.2180429"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2016.0039"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2017.12.017"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.06.007"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2018.12.086"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2018.09.031"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3911"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.4365"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3948"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.12.022"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.03.024"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.02.039"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/tcst.2018.2814589"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2019.2914416"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2018.2877593"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2017.2695499"},{"first-page":"928","article-title":"Parametric control of quasi-linear systems by output feedback","author":"G.-R Duan","key":"22"},{"first-page":"23","article-title":"Parametric control of quasi-linear systems via state feedback","author":"G.-R Duan","key":"23"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-020-05555-0"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2019.124681"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2018.6410"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejcon.2018.09.008"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2905867"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.2112"},{"first-page":"471","article-title":"A parametric approach to design state feedback stabilizer for switched unified chaotic systems","author":"D.-W. 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