| Titre : | Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays (2008) |
| Auteurs : | Chang-Chun Hua, Auteur ; Qing-Guo Wang, Auteur ; Peng, Shi, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Transactions of the ASME . Journal of dynamic systems, measurement, and control (Vol. 130 n°4, Juillet 2008) |
| Article en page(s) : | 7 p. |
| Note générale : | dynamic systems |
| Langues : | Anglais |
| Tags : | 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&issueid=26454 |

