Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance

This paper proposes a synchronization scheme for two discrete-time chaotic systems with bounded disturbance. By using active control method and imposing some restriction on the error state, the computation of controller’s feedback matrix is converted to the min-max optimization problem. The theoreti...

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Main Author: Longge Zhang
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/7382150
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spelling doaj-0d8015e6d99447adabd7af33c393f2872020-11-25T00:04:37ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/73821507382150Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded DisturbanceLongge Zhang0Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, ChinaThis paper proposes a synchronization scheme for two discrete-time chaotic systems with bounded disturbance. By using active control method and imposing some restriction on the error state, the computation of controller’s feedback matrix is converted to the min-max optimization problem. The theoretical results are derived with the aid of predictive model predictive paradigm and linear matrix inequality technique. Two example simulations are performed to show the effectiveness of the designed control method.http://dx.doi.org/10.1155/2017/7382150
collection DOAJ
language English
format Article
sources DOAJ
author Longge Zhang
spellingShingle Longge Zhang
Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance
Discrete Dynamics in Nature and Society
author_facet Longge Zhang
author_sort Longge Zhang
title Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance
title_short Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance
title_full Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance
title_fullStr Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance
title_full_unstemmed Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance
title_sort robust active mpc synchronization for two discrete-time chaotic systems with bounded disturbance
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2017-01-01
description This paper proposes a synchronization scheme for two discrete-time chaotic systems with bounded disturbance. By using active control method and imposing some restriction on the error state, the computation of controller’s feedback matrix is converted to the min-max optimization problem. The theoretical results are derived with the aid of predictive model predictive paradigm and linear matrix inequality technique. Two example simulations are performed to show the effectiveness of the designed control method.
url http://dx.doi.org/10.1155/2017/7382150
work_keys_str_mv AT longgezhang robustactivempcsynchronizationfortwodiscretetimechaoticsystemswithboundeddisturbance
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