Optimum PID control of multi-wing attractors in a family of Lorenz-like chaotic systems

Author

Acharya, Arup ; Das, S. ; Pan, Indranil

Author_Institution

Dept. of Instrum. & Electron. Eng., Jadavpur Univ., Kolkata, India

fYear

2012

fDate

26-28 July 2012

Firstpage

1

Lastpage

6

Abstract

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 of the state time series for these multi-wing chaotic systems is higher than that of the conventional double wing chaotic attractors. A real coded Genetic Algorithm (GA) based global optimization framework has been presented in this paper, to design optimum PID controllers so as to control the state trajectories of three different multi-wing Lorenz like chaotic systems viz. Lu, Rucklidge and Sprott-1 system.

Keywords

chaos; genetic algorithms; nonlinear dynamical systems; three-term control; GA; Lorenz-like chaotic systems; genetic algorithm; global optimization framework; multiwing chaotic attractors; nonlinear dynamical systems; optimum PID control; Chaos; Optimization; System-on-a-chip; Lorenz family; PID controller; chaos control; chaotic nonlinear dynamical systems; multi-wing attractor;

fLanguage

English

Publisher

ieee

Conference_Titel

Computing Communication & Networking Technologies (ICCCNT), 2012 Third International Conference on

Conference_Location

Coimbatore

Type

conf

DOI

10.1109/ICCCNT.2012.6396002

Filename

6396002