Control for the synchronization of Chen system via a single nonlinear input

Abstract

This paper addresses control for the synchronization of Chen chaotic systems via sector nonlinear inputs. Feedback control, adaptive control, fast sliding mode and robust control approaches based on single state feedback controller are investigated. In these cases, sufficient conditions for the synchronization are obtained analytically. Numerical simulations verify the control performances.

Synchronization and Stabilization of Chaotic Dynamics in a Quasi-1D Bose-Einstein Condensate

“…This is expected because in practice, due to some physical limitations, the control input usually contains nonlinear term. Significantly, nonlinearity in systems like BEC could lead to serious degradation of the system performance, decrease in speed of response, and possibly may cause chaotic perturbations to original regular behaviour if in the design process of the controller their effects are ignored [41][42][43]. Numerically, we implement the controller of (26) in (22), using the 4th order Runge-Kutta algorithm.…”

Chaos Control of a Chemical Chaotic System via Time-delayed Feedback Control Method

“…In recent years, chaos in control systems and controlling chaos in dynamical systems have both attracted growing attention [1] . A chaotic system has complex dynamical natures such as excessive sensitivity to initial conditions, broad spectrums of Fourier transform, and fractal properties of the motion in phase space [2] .…”

“…Due to its powerful applications in power conversion, chemical reactions, biological systems, information processing and secure communications, etc. [1] , chaos control has seen a great deal of research activities from various fields [3−9] . Chaos is sometimes undesirable.…”