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Published in

International Federation of Automatic Control (IFAC), IFAC papers online, 2(41), p. 12212-12217, 2008

DOI: 10.3182/20080706-5-kr-1001.02068

Wiley, Asian Journal of Control, 3(11), p. 344-357, 2009

DOI: 10.1002/asjc.112

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Finite-Time Tracking Control of a Nonholonomic Mobile Robot

Journal article published in 2008 by Zhao Wang, Shihua Li ORCID, Shumin Fei
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

In this paper, the finite-time tracking problem is investigated for a nonholonomic wheeled mobile robot in a fifth-order dynamic model. We consider the whole tracking error system as a cascaded system. Two continuous global finite-time stabilizing controllers are designed for a second-order subsystem and a third-order subsystem respectively. Then finite-time stability results for cascaded systems are employed to prove that the closed-loop system satisfies the finite-time stability. Thus the closed-loop system can track the reference trajectory in finite-time when the desired velocities satisfy some conditions. In particular, we discuss the control gains selection for the third-order finite-time controller and give sufficient conditions by using Lyapunov and backstepping techniques. Simulation results demonstrate the effectiveness of our method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society