Eur. Phys. J. Special Topics 227, 731–746 (2018)
https://doi.org/10.1140/epjst/e2018-800023-6

Regular Article

Chaos control in biological system using recursive backstepping sliding mode control

¹ Department of Electrical Engineering, NIT Meghalaya, Shillong 793003, India
² Department of Electrical Engineering, NIT Silchar, Assam 788010, India

^a e-mail: piyushpratapsingh@gmail.com

Received: 16 February 2018
Received in final form: 27 May 2018
Published online: 19 October 2018

Abstract

This paper puts forward the control of chaos in the biological system. A new controller based on recursive backstepping sliding mode control is proposed such that it can control the chaotic dynamics in the biological system to stabilize at any position or to track any trajectory that is a smooth function of time. A proportional integral switching surface is proposed to achieve the stability condition of the error dynamics. Unlike the open loop and open plus closed loop control techniques, the design of proposed controller does not require the parameter perturbation. The required stability condition is derived based on Lyapunov stability theory. Simulation is achieved in MATLAB environment. Numerical simulation results are presented in order to show the effective verification of the proposed controller design. Simulation results correspond that the objective of chaos control is achieved successfully.