Eur. Phys. J. Plus (2020) 135: 307
https://doi.org/10.1140/epjp/s13360-020-00316-9

Regular Article

Absolute control of chaotic responses in Robbins disc dynamo

Institute of Space Technology, Islamabad, Pakistan

^* e-mail: jayub8162511@gmail.com

Received: 18 October 2019
Accepted: 5 March 2020
Published online: 16 March 2020

Abstract

Chaotic responses of Robbins disc dynamo are considered through boundedness and Lyapunov exponents to specify the place where the controller needed to be applied. In order to get the beneficial aspects in engineering of the Robbins disc dynamo, controller is calculated by using the concept of Lie derivative which is the most significant facet of control analytical technique. The necessary and sufficient conditions are confirmed, and a single input function controller u is constructed for linear and nonlinear output function. Robbins disc dynamo system is totally controlled for the required goals in both cases. To show the effectiveness of proposed control technique, a comparison with other techniques is presented in this article. Numerical simulation results confirm our analytical results.