Synergetic Control and Synchronisation of Chaotic Systems

Control Of Chaotic Systems

Experimental pulse synchronisation of two chaotic circuits

In this work a novel synchronisation scheme for chaotic systems is presented. Taking inspiration from the system decomposition approach, the master and slave are connected via a switch which allows to alternate the signal fed into the slave between the master signal and the slave signal itself. The switching frequency has been taken into account as a control parameter to characterise the synchr...

Optimisation of the synchronisation of a class of chaotic systems: combination of sliding mode and feedback control

This paper addresses the problem of optimisation of the synchronisation for a class of uncertain chaotic systems from a control theoretic point of view. A robust adaptive feedback which accomplishes the synchronisation of chaotic systems using an optimal tuning scheme based on Riccatti equations is successfully adapted. The underlying idea is to optimise the synchronisation of chaotic systems b...

Chaotic Control Systems

Generally speaking, it is relatively easy to design a feedback controller to eliminate the possibility of chaos in a nonlinear dynamical system. Here we examine chaotic control not from the prospective of eliminating chaos, but from the prospective of producing chaotic motion in order to take advantage of the random like “free ride” a chaotic attractor provides. The idea is stay with this free ...

Targeting Control of Chaotic Systems

Targeting control of chaos is concerned with taking advantage of sensitive dependence to initial conditions to coax a dynamical system to following a desirable trajectory. In other words, it is taking advantage of the butterfly effect so that the rich spectrum of possible trajectories embedded within a chaotic attractor can be selected with extremely small energy input. We review historical and...