Please use this identifier to cite or link to this item: https://doi.org/10.1115/1.2936867
Title: Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays
Authors: Hua, C.-C.
Wang, Q.-G. 
Shi, P.
Guan, X.-P.
Keywords: Adaptive method
Exponential stabilization
Multiple delays
Polynomial systems
Time delay systems
Issue Date: Jul-2008
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
URI: http://scholarbank.nus.edu.sg/handle/10635/56603
ISSN: 00220434
DOI: 10.1115/1.2936867
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