Simulation studies on the design of optimum PID controllers to suppress chaotic oscillations in a family of Lorenz-like multi-wing attractors

被引：16

作者：

Das, Saptarshi ^{[1
,2
]}

Acharya, Anish ^{[3
,4
]}

Pan, Indranil ^{[1
,5
]}

机构：

[1] Jadavpur Univ, Dept Power Engn, Kolkata 700098, India

[2] Univ Southampton, Sch Elect & Comp Sci, Commun Signal Proc & Control CSPC Grp, Southampton SO17 1BJ, Hants, England

[3] Jadavpur Univ, Dept Instrumentat & Elect Engn, Kolkata 700098, India

[4] Univ Calif Irvine, Dept Elect & Comp Sci Engn, Irvine, CA 92697 USA

[5] Indian Inst Technol Delhi, Ctr Energy Studies, New Delhi 110016, India

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2014年 / 100卷

关键词：

Chaos control; Chaotic nonlinear dynamical systems; Lorenz family; Multi-wing attractor; Optimum PID controller; SYNCHRONIZATION;

D O I：

10.1016/j.matcom.2014.03.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Multi-wing chaotic attractors are highly complex nonlinear dynamical systems with higher number of index-2 equilibrium points. Due to the presence of several equilibrium points, randomness and hence the complexity of the state time series for these multi-wing chaotic systems is much higher than that of the conventional double-wing chaotic attractors. A real-coded genetic algorithm (GA) based global optimization framework has been adopted in this paper as a common template for designing optimum Proportional-Integral-Derivative (PID) controllers in order to control the state trajectories of four different multi-wing chaotic systems among the Lorenz family viz. Lu system, Chen system, Rucklidge (or Shimizu Morioka) system and Sprott-1 system. Robustness of the control scheme for different initial conditions of the multi-wing chaotic systems has also been shown. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：72 / 87

页数：16

共 37 条

[1] Partial synchronization of different chaotic oscillators using robust PID feedback [J].