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Constrained predictive synchronization of discrete-time chaotic Lur'e systems with time-varying delayed feedback control

Title
Constrained predictive synchronization of discrete-time chaotic Lur'e systems with time-varying delayed feedback control
Authors
Kwon, OM[Kwon, O. M.]Son, JW[Son, J. W.]Lee, SM[Lee, S. M.]
DGIST Authors
Son, JW[Son, J. W.]
Issue Date
2013-04
Citation
Nonlinear Dynamics, 72(1-2), 129-140
Type
Article
Article Type
Article
Keywords
Chaotic Lur&apose SystemsChaotic SystemsDelay-Dependent CriterionDelay-Dependent StabilizationInput ConstraintInput ConstraintsLinear Matrix InequalitiesLinear Matrix Inequality FormulationsLur&aposE SystemsLyapunov-Krasovskii FunctionalsLyapunov FunctionsModel Predictive ControlPredictive Control SystemsPredictive SynchronizationReciprocally Convex CombinationsStabilizationSynchronizationSynchronization MethodTime Varying Control Systems
ISSN
0924-090X
Abstract
This paper presents a predictive synchronization method for discrete-time chaotic Lur'e systems with input constraints by using time-varying delayed feedback control. Based on the model predictive control scheme, a delay-dependent stabilization criterion is derived for the synchronization of chaotic systems that is represented by Lur'e systems with input constraints. By constructing a suitable Lyapunov-Krasovskii functional and combining with a reciprocally convex combination technique, a delay-dependent stabilization condition for synchronization is obtained via linear matrix inequality (LMI) formulation. The control inputs are obtained by solving a min-max problem subject to cost monotonicity, which is expressed in terms of LMIs. The effectiveness of the proposed method will be verified throughout a numerical example. © 2012 Springer Science+Business Media Dordrecht.
URI
http://hdl.handle.net/20.500.11750/3246
DOI
10.1007/s11071-012-0697-3
Publisher
Springer
Related Researcher
Files:
There are no files associated with this item.
Collection:
Companion Diagnostics and Medical Technology Research Group1. Journal Articles


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