PID control design for chaotic synchronization using a tribes optimization approach

被引:31
作者
Coelho, Leandro dos Santos [1 ]
de Andrade Bernert, Diego Luis [1 ]
机构
[1] Pontif Catholic Univ Parana, LAS PPGEPS, Ind & Syst Engn Grad Program, PUCPR, BR-80215901 Curitiba, Parana, Brazil
关键词
ADAPTIVE SYNCHRONIZATION; SYSTEMS; STABILIZATION; OSCILLATORS;
D O I
10.1016/j.chaos.2009.01.032
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, the investigation of synchronization and control problems for discrete chaotic systems has stimulated a wide range of research activity including both theoretical studies and practical applications. This paper deals with the tuning of a proportional-integral-derivative (PID) controller using a modified Tribes optimization algorithm based on truncated chaotic Zaslavskii map (MTribes) for synchronization of two identical discrete chaotic systems subject the different initial conditions. The Tribes algorithm is inspired by the social behavior of bird flocking and is also an optimization adaptive procedure that does not require sociometric or swarm size parameter tuning. Numerical simulations are given to show the effectiveness of the proposed synchronization method. In addition, some comparisons of the MTribes optimization algorithm with other continuous optimization methods, including classical Tribes algorithm and particle swarm optimization approaches, are presented. (C) 2009 Published by Elsevier Ltd.
引用
收藏
页码:634 / 640
页数:7
相关论文
共 52 条
[1]   Partial synchronization of different chaotic oscillators using robust PID feedback [J].
Aguilar-Lopez, Ricardo ;
Martinez-Guerra, Rafael .
CHAOS SOLITONS & FRACTALS, 2007, 33 (02) :572-581
[2]   A survey of particle swarm optimization applications in power system operations [J].
Alrashidi, M. R. ;
El-Hawary, M. E. .
ELECTRIC POWER COMPONENTS AND SYSTEMS, 2006, 34 (12) :1349-1357
[3]  
[Anonymous], CHAOS SOLITONS FARAC
[4]  
Astrom K.J, 1995, PID Controllers: Theory, Design, and Tuning
[5]   PID control for chaotic synchronization using particle swarm optimization [J].
Chang, Wei-Der .
CHAOS SOLITONS & FRACTALS, 2009, 39 (02) :910-917
[6]   EP-based PID control design for chaotic synchronization with application in secure communication [J].
Chen, Hsin-Chieh ;
Chang, Jen-Fuh ;
Yan, Jun-Juh ;
Liao, Teh-Lu .
EXPERT SYSTEMS WITH APPLICATIONS, 2008, 34 (02) :1169-1177
[7]   Tribe-PSO: A novel global optimization algorithm and its application in molecular docking [J].
Chen, Kai ;
Li, Tonghua ;
Cao, Tongcheng .
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 2006, 82 (1-2) :248-259
[8]   Synchronization of an uncertain unified chaotic system via adaptive control [J].
Chen, SH ;
Lü, JH .
CHAOS SOLITONS & FRACTALS, 2002, 14 (04) :643-647
[9]  
CLERC M, 2002, TRIBES PARAMETER FRE
[10]  
Clerc M, 2006, STAGNATION ANAL PART