Control of Chaotic Systems

Control Of Chaotic Systems

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...

Partial control of chaotic systems.

In a region in phase space where there is a chaotic saddle, all initial conditions will escape from it after a transient with the exception of a set of points of zero Lebesgue measure. The action of an external noise makes all trajectories escape faster. Attempting to avoid those escapes by applying a control smaller than noise seems to be an impossible task. Here we show, however, that this go...

Synchronization of Chaotic Fractional-Order Lu-Lu Systems with Active Sliding Mode Control

Synchronization of chaotic and Lu system has been done using the active sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and active sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but...