Journal
MECHANICS RESEARCH COMMUNICATIONS
Volume 38, Issue 7, Pages 500-505Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2011.06.005
Keywords
Finite-time control; Non-autonomous gyrostat; Unknown parameter; Adaptive controller
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This paper deals with the problem of robust finite-time stabilization of non-autonomous chaotic gyrostat systems. It is assumed that the parameters of the gyrostat system are completely unknown in advance and the system is perturbed by unknown uncertainties and disturbances. Some update laws are proposed to estimate the unknown parameters. Based on the finite-time control idea and the update laws, appropriate control laws are designed to ensure the stabilization of the closed-loop system in a finite time. The finite-time stability and convergence of the closed-loop system are analytically proved. A numerical simulation is given to demonstrate the applicability and robustness of the proposed finite-time controller and to verify the theoretical results. (C) 2011 Elsevier Ltd. All rights reserved.
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