{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T13:13:40Z","timestamp":1723209220800},"reference-count":17,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2006,11]]},"abstract":" In this paper, an observer-based adaptive feedback controller is developed for a class of chaotic systems. This controller does not need the availability of state variables. It can be used for tracking a smooth orbit that can be a limit cycle or a chaotic orbit of another system. This adaptive feedback controller is constructed with the aid of its H\u221e<\/jats:sup> control technique to achieve the H\u221e<\/jats:sup> tracking performance. Based on Lyapunov stability theorem, the proposed adaptive feedback control system can guarantee the stability of whole closed-loop system and obtain good tracking performance as well. To demonstrate the efficiency of the proposed scheme, two well-known chaotic systems, namely Chua's circuit and Lur'e system are considered as illustrative examples. <\/jats:p>","DOI":"10.1142\/s0218127406016896","type":"journal-article","created":{"date-parts":[[2007,2,28]],"date-time":"2007-02-28T08:27:39Z","timestamp":1172651259000},"page":"3411-3419","source":"Crossref","is-referenced-by-count":19,"title":["OBSERVER-BASED ADAPTIVE FEEDBACK CONTROLLER OF A CLASS OF CHAOTIC SYSTEMS"],"prefix":"10.1142","volume":"16","author":[{"given":"ABDESSELEM","family":"BOULKROUNE","sequence":"first","affiliation":[{"name":"Department of Automatic, University of Jijel, Jijel, 18000, Algeria"}]},{"given":"HACHEMI","family":"CHEKIREB","sequence":"additional","affiliation":[{"name":"Department of the Electrical Engineering, ENP, Algiers, Algeria"}]},{"given":"MOHAMED","family":"TADJINE","sequence":"additional","affiliation":[{"name":"Department of the Electrical Engineering, ENP, Algiers, Algeria"}]},{"given":"SABRINA","family":"BOUATMANE","sequence":"additional","affiliation":[{"name":"Department of Electronic, University of Jijel, Jijel, 18000, Algeria"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Control of Bifurcations and Chaos, the Control Handbook","author":"Abed E. H.","year":"1995"},{"key":"rf2","first-page":"557","volume":"3","author":"Bernardo M. D.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/91.855915"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/9789812798640"},{"key":"rf5","volume-title":"Controlling Chaos and Bifurcations in Engineering Systems","author":"Chen G.","year":"1999"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(02)00006-1"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(02)00203-5"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(96)00150-6"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7225(98)00150-5"},{"key":"rf10","volume-title":"Robust Adaptive Control","author":"Ionnou P. A.","year":"1996"},{"key":"rf11","first-page":"1687","volume":"1","author":"John J. K.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf12","first-page":"66","volume":"46","author":"Kennedy M. P.","journal-title":"Frequenz"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/1997"},{"key":"rf14","first-page":"695","volume":"40","author":"Ogorzalek M. J.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(00)00808-2"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(00)00089-8"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(01)00052-2"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127406016896","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:59:48Z","timestamp":1565135988000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127406016896"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,11]]},"references-count":17,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,11]]}},"alternative-id":["10.1142\/S0218127406016896"],"URL":"https:\/\/doi.org\/10.1142\/s0218127406016896","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,11]]}}}