Eur. Phys. J. Special Topics 228, 2247-2268 (2019)
https://doi.org/10.1140/epjst/e2019-900041-4

Regular Article

Fast disturbance-observer-based robust integral terminal sliding mode control of a hyperchaotic memristor oscillator

¹ School of Mechanical Engineering, College of Engineering, University of Tehran, 14399-57131 Tehran Iran
² Department of Aerospace Engineering, Faculty of New Sciences and Technologies, University of Tehran, 14395-1561, Tehran, Iran

^a e-mail: amin.yusefpour@ut.ac.ir
^b e-mail: hadi_jahanshahi@ut.ac.ir

Received: 15 February 2019
Received in final form: 19 April 2019
Published online: 14 October 2019

Abstract

This paper is concerned with the stabilization and tracking control of a hyperchaotic memristor oscillator using a novel disturbance-observer-based integral terminal sliding mode control. Firstly, the dynamic behaviours of the hyperchaotic memristor oscillator are investigated. Afterward, the fast disturbance-observer is combined with integral terminal sliding mode control for multi-input-multi-output (MIMO) nonlinear relative degree one systems in presences of external disturbance, unknown input saturation, and control singularity. The Lyapunov stability theorem is implemented to prove the finite time convergence of the closed-loop system. Furthermore, to specify the parameters of the proposed controller, the genetic algorithm optimization is applied to decrease chattering of the system’s response. Simulation results are presented to show the appropriate performance of the proposed control scheme in terms of stabilization and tracking control in the presence of external disturbances and input saturation.