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

O. M. Kwon; J. W. Son; S. M. Lee

doi:10.1007/s11071-012-0697-3

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

O. M. Kwon, J. W. Son, S. M. Lee

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

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.

Original language	English
Pages (from-to)	129-140
Number of pages	12
Journal	Nonlinear Dynamics
Volume	72
Issue number	1-2
DOIs	https://doi.org/10.1007/s11071-012-0697-3
State	Published - Apr 2013

Keywords

Chaotic Lur'e systems
Delay-dependent criterion
Input constraint
Predictive synchronization

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10.1007/s11071-012-0697-3

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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.",

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AU - Son, J. W.

AU - Lee, S. M.

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Y1 - 2013/4

N2 - 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.

AB - 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.

KW - Chaotic Lur'e systems

KW - Delay-dependent criterion

KW - Input constraint

KW - Predictive synchronization

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JO - Nonlinear Dynamics

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

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