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Memoryless Adaptive Controller Design for Uncertain Polynomial Systems with Multiple Time Delays

Hua, Changchun and Wang, Qing-guo and Shi, Peng and Guan, Xinping (2008) Memoryless Adaptive Controller Design for Uncertain Polynomial Systems with Multiple Time Delays. Journal of Dynamic Systems Measurement and Control, 130 (4). 0445041-0445047. ISSN 0022-0434

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID16146, adaptive control, control system synthesis, delays, Lyapunov methods, nonlinear systems, polynomials, state feedback, time-varying systems, uncertain systems
Subjects: FOR Classification > 0906 Electrical and Electronic Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
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Depositing User: VUIR
Date Deposited: 26 Apr 2012 06:34
Last Modified: 13 Feb 2015 05:28
URI: http://vuir.vu.edu.au/id/eprint/3720
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Citations in Scopus: 1 - View on Scopus

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