Hybrid chaos control of continuous unified chaotic systems using discrete rippling sliding mode control

被引：20

作者：

Yan, Jun-Juh ^{[1
]}

Chen, Chih-Yung ^{[1
]}

Tsai, Jason Sheng-Hong ^{[2
]}

机构：

[1] Shu Te Univ, Dept Comp & Commun, Kaohsiung 824, Taiwan

[2] Natl Cheng Kung Univ, Dept Elect Engn, Tainan 701, Taiwan

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2016年 / 22卷

关键词：

Discrete sliding mode control; Rippling control; Chaos suppression; Unified chaotic system; SYNCHRONIZATION;

D O I：

10.1016/j.nahs.2016.05.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a new systematic design procedure to stabilize continuous unified chaotic systems based on discrete sliding mode control (DSMC) is presented. In contrast to the previous works, the concept of rippling control is newly introduced such that the design of DSMC can be simplified and only a single controller is needed to realize chaos suppression. As expected, under the proposed DSMC law, the unified system can be stabilized in a manner of ripple effect, even when the external uncertainty is present. Last, two examples are included to illustrate the effectiveness of the proposed rippling DSMC developed in this paper. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：276 / 283

页数：8

共 22 条

[1] Sliding mode control of uncertain unified chaotic systems [J].

Ablay, Guenyaz .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) :531-535

[2] Chaos control in AFM systems using nonlinear delayed feedback via sliding mode control [J].

Arjmand, Mehdi Tabe ;

Sadeghian, Hoda ;

Salarieh, Hassan ;

Alasty, Aria .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (03) :993-1001

[3] Control of chaos in permanent magnet synchronous motor by using optimal Lyapunov exponents placement [J].

Ataei, Mohammad ;

Kiyoumarsi, Arash ;

Ghorbani, Behzad .

PHYSICS LETTERS A, 2010, 374 (41) :4226-4230

[4] Prediction-based control of chaos and a dynamic Parrondo's paradox [J].

Fernandez de Cordoba, Maria P. ;

Liz, Eduardo .

PHYSICS LETTERS A, 2013, 377 (10-11) :778-782

[5] A radial basis function sliding mode controller for chaotic Lorenz system [J].

Guo, HJ ;

Lin, SF ;

Liu, JH .

PHYSICS LETTERS A, 2006, 351 (4-5) :257-261

[6] Finite-time synchronization of switched stochastic Rossler systems [J].

Hou, Yi-You ;

Wan, Zhang-Lin ;

Liao, Teh-Lu .

NONLINEAR DYNAMICS, 2012, 70 (01) :315-322

[7] The design of quasi-sliding mode control for a permanent magnet synchronous motor with unmatched uncertainties [J].

Huang, Cheng-Fang ;

Liao, Teh-Lu ;

Chen, Chih-Yung ;

Yan, Jun-Juh .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (05) :1036-1043

[8] Stochastic Response of a Vibro-Impact System by Path Integration Based on Generalized Cell Mapping Method [J].

Li, Chao ;

Xu, Wei ;

Yue, Xiaole .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (10)

[9] Linearization of the Lorenz system [J].

Li, Chunbiao ;

Sprott, Julien Clinton ;

Thio, Wesley .

PHYSICS LETTERS A, 2015, 379 (10-11) :888-893

[10] A New Piecewise Linear Hyperchaotic Circuit [J].

Li, Chunbiao ;

Sprott, Julien Clinton ;

Thio, Wesley ;

Zhu, Huanqiang .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2014, 61 (12) :977-981

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