[article]
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 [...] |
in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 130 n°4 (Juillet 2008) . - 7 p.
[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 [...] |
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