Tracking the state of the delay hyperchaotic Lü system using the coullet chaotic system via a single controller

Abstract

In this article, a partial synchronization scheme is proposed based on Lyapunov stability theory to track the signal of the delay hyperchaotic L€ u system using the Coullet system based on only one single controller. The proposed tracking control design has two advantages: only one controller is adopted in our approach and it can allow us to drive the hyperchaotic system to a simple chaotic system even with uncertain parameters. Numerical simulation results are given to demonstrate the effectiveness and robustness of the proposed partial synchronization scheme.

RBF‐based discrete sliding mode control for robust tracking of uncertain time‐delay systems with input nonlinearity

“…The robust tracking and model following control for uncertain systems or uncertain timedelay systems has become an important field of research over the past decades. Several design methods such as state feedback control method [1,2], Riccati equation method [3], Lyapunov stability theory [4,5], composite nonlinear feedback control method [6,7], adaptive compensation method [8], H 1 control method [9], and sliding mode control (SMC) method [10,11] have been widely investigated. However, these methods are developed in continuous-time system and cannot deal with the robustness against time-delays or input nonlinearity.…”

Stability and Hopf bifurcation analysis of novel hyperchaotic system with delayed feedback control

“…Stabilization is achieved by adjusting the weight of the perturbation. In the electronics field the delayed feedback is associated with various instabilities . The ultimate aim of the present paper is to construct a novel four dimensional hyperchaotic system by introducing a state feedback controller to a three dimensional modified Rikitake system which was proposed by authors in .…”