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https://hdl.handle.net/2440/84949
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Type: | Journal article |
Title: | Memoryless adaptive controller design for uncertain polynomial systems with multiple time delays |
Author: | Hua, C. Wang, Q. Shi, P. Guan, X. |
Citation: | Journal of Dynamic Systems Measurement and Control: Transactions of the ASME, 2008; 130(4):044504-1-044504-7 |
Publisher: | American Society of Mechanical Engineers |
Issue Date: | 2008 |
ISSN: | 0022-0434 1528-9028 |
Statement of Responsibility: | Chang-Chun Hua, Qing-Guo Wang, Peng Shi and Xin-Ping Guan |
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. |
Keywords: | time delay systems; polynomial systems; multiple delays; exponential stabilization; adaptive method |
Rights: | © 2008 by ASME |
DOI: | 10.1115/1.2936867 |
Published version: | http://dx.doi.org/10.1115/1.2936867 |
Appears in Collections: | Aurora harvest 2 Electrical and Electronic Engineering publications |
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