{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T19:02:42Z","timestamp":1771700562601,"version":"3.50.1"},"reference-count":29,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,5]]},"abstract":"<jats:p> Synchronization via multivariable PID control is studied. Based on the descriptor approach, the problem of PID controller design is transformed to that of static output feedback (SOF) controller design. The improvement of the solvability of the Linear Matrix Inequality (LMI) is achieved, in comparison with the existing literature on designing PID controller based on the LMI technique. With the aid of the free-weighting matrix approach and the S-procedure, the synchronization criterion for a general Lur'e system is established based on the LMI technique. The feasibility of the methodology is illustrated by the well-known Chua's circuit. <\/jats:p>","DOI":"10.1142\/s0218127407018051","type":"journal-article","created":{"date-parts":[[2007,8,6]],"date-time":"2007-08-06T10:12:53Z","timestamp":1186395173000},"page":"1753-1758","source":"Crossref","is-referenced-by-count":23,"title":["CHAOS SYNCHRONIZATION VIA MULTIVARIABLE PID CONTROL"],"prefix":"10.1142","volume":"17","author":[{"given":"GUILIN","family":"WEN","sequence":"first","affiliation":[{"name":"State Key Laboratory of Advanced Design and Manufactory for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha, Hunan 410082, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"QING-GUO","family":"WANG","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"CHONG","family":"LIN","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GUANGYAO","family":"LI","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Advanced Design and Manufactory for Vehicle Body, Hunan University, Changsha, Hunan 420082, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"XU","family":"HAN","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Advanced Design and Manufactory for Vehicle Body, Hunan University, Changsha, Hunan 420082, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"PID Controlers: Theory, Design and Tuning","author":"\u00c5str\u00f6m K. J.","year":"1995"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1080\/00207170010025249"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/9789812798640"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.65"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497001977"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(99)00667-2"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/81.633891"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(03)00207-X"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.828317"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2004.07.025"},{"key":"rf12","first-page":"245","volume":"276","author":"Hector P.","journal-title":"Phys. Lett. A"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.11.050"},{"key":"rf14","first-page":"285","volume":"78","author":"Itoh M.","journal-title":"IEICE Trans. Fund."},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.01.012"},{"key":"rf16","first-page":"1322","volume":"82","author":"Kawata J.","journal-title":"IEICE Trans. Fund."},{"key":"rf17","volume-title":"Nonlinear Systems","author":"Khalil H. K.","year":"1993"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2003.10.008"},{"key":"rf19","volume-title":"Process Modeling, Simulation and Control for Chemical Engineers","author":"Luyben W. L.","year":"1990"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.54.4803"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1109\/81.774230"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.10.072"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.09.117"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.08.078"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2004.03.004"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.838484"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740100295X"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(04)00414-X"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127407018051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:58:34Z","timestamp":1565135914000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127407018051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5]]},"references-count":29,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,5]]}},"alternative-id":["10.1142\/S0218127407018051"],"URL":"https:\/\/doi.org\/10.1142\/s0218127407018051","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,5]]}}}