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Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays / Chang-Chun Hua in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 130 n°4 (Juillet 2008) 

Public ISBD [article]  in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 130 n°4 (Juillet 2008) . - 7 p. Titre : Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays Type de document : texte imprimé Auteurs : Chang-Chun Hua, Auteur ; Qing-Guo Wang, Auteur ; Peng, Shi, Auteur Année de publication : 2008 Article en page(s) : 7 p. Note générale : dynamic systems Langues : Anglais (eng) Mots-clés : control  equipment;  design;  delays;  polynomials;  closed  loop  systems Résumé : The stabilization problem is investigated for a class of uncertain systems with multiple time-varying delays. The considered system includes the uncertain nonlinear time delay functions, whose bounds are in the form of polynomial-type functions with unknown coefficients. The system is decomposed into two subsystems based on the input matrix. For the first subsystem, a time delay dependent linear virtual control input is constructed. Then, a memoryless state feedback controller is designed based on backstepping method. By employing new Lyapunov–Krasovskii functional, we show that the closed-loop system is exponentially stable. Finally, simulations are conducted to verify the effectiveness of the proposed method. En ligne : http://dynamicsystems.asmedigitalcollection.asme.org/issue.aspx?journalid=117&is [...] [article] Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays [texte imprimé] / Chang-Chun Hua, Auteur ; Qing-Guo Wang, Auteur ; Peng, Shi, Auteur . - 2008 . - 7 p. dynamic systems Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 130 n°4 (Juillet 2008) . - 7 p. Mots-clés : control  equipment;  design;  delays;  polynomials;  closed  loop  systems Résumé : The stabilization problem is investigated for a class of uncertain systems with multiple time-varying delays. The considered system includes the uncertain nonlinear time delay functions, whose bounds are in the form of polynomial-type functions with unknown coefficients. The system is decomposed into two subsystems based on the input matrix. For the first subsystem, a time delay dependent linear virtual control input is constructed. Then, a memoryless state feedback controller is designed based on backstepping method. By employing new Lyapunov–Krasovskii functional, we show that the closed-loop system is exponentially stable. Finally, simulations are conducted to verify the effectiveness of the proposed method. En ligne : http://dynamicsystems.asmedigitalcollection.asme.org/issue.aspx?journalid=117&is [...]