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|Title:||Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays|
Time delay systems
|Citation:||Hua, C.-C., Wang, Q.-G., Shi, P., Guan, X.-P. (2008-07). Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME 130 (4) : 0445041-0445047. ScholarBank@NUS Repository. https://doi.org/10.1115/1.2936867|
|Abstract:||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. Copyright © 2008 by ASME.|
|Source Title:||Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME|
|Appears in Collections:||Staff Publications|
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