Affiliation:
1. Department of Information Security, Naval University of Engineering, Wuhan, China
2. College of Electronic Engineering, Naval University of Engineering, Wuhan, China
Abstract
Abstract
This paper deals with the global finite-time synchronization of a class of third-order chaotic systems with some intersecting nonlinearities, which cover many famous chaotic systems. First, a simple, continuous and dimension-reducible control by the name of the variable-substitution and feedback control is designed to construct a master–slave finite-time synchronization scheme. Then, a global finite-time synchronization criterion for the synchronization scheme is proven and the synchronization time is analytically estimated. Subsequently, the criterion and optimization technique are applied to the well-known brushless direct current motor (BLDCM) system and the classic Lorenz system, respectively, further obtaining some new optimized synchronization criteria in the form of algebra. Two numerical examples for the BLDCM system and a numerical example for the Lorenz system are simulated and analyzed to verify the effectiveness of the theoretical results obtained in this paper.
Funder
National Natural Science Foundation of China
Science and Technology Foundation
Natural Science Foundation of Naval University of Engineering
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
3 articles.
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