Backstepping Design for Controlling Lorenz Chaos
نویسنده
چکیده
Backstepping design is proposed to control a Lorenz chaotic system. A major advantage of this method is that it has the flexibility to build the control law by avoiding cancellations of useful nonlinearities. Consequently, the goals of stabilization of chaotic motion and tracking of a reference signal are achieved with a reduced control effort. A comparison with the differential geometric method highlights the advantages of the proposed approach.
منابع مشابه
Controlling Chaotic Dynamics Using Backstepping Design with Application to the Lorenz System and Chua’s Circuit
In this Letter backstepping design is proposed for controlling chaotic systems. The tool consists in a recursive procedure that combines the choice of a Lyapunov function with the design of feedback control. The advantages of the method are the following: (i) it represents a systematic procedure for controlling chaotic or hyperchaotic dynamics; (ii) it can be applied to several circuits and sys...
متن کاملDesign and Simulation of Adaptive Neuro Fuzzy Inference Based Controller for Chaotic Lorenz System
Chaos is a nonlinear behavior that shows chaotic and irregular responses to internal and external stimuli in dynamic systems. This behavior usually appears in systems that are highly sensitive to initial condition. In these systems, stabilization is a highly considerable tool for eliminating aberrant behaviors. In this paper, the problem of stabilization and tracking the chaos are investigated....
متن کاملSynchronizing chaotic systems using backstepping design
Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller. In this paper it is proposed for synchronizing chaotic systems. There are several advantages in this method for synchronizing chaotic systems: (a) it presents a systematic procedure for selecting a proper controller in chaos synchronization; (b) it can be applied to a va...
متن کاملControl Lorenz Chaos Using Optimal Backstepping Method
This article has demonstrated chaos Control in the Lorenz using the backstepping approach. Backstepping method has positive parameters. mostly, parameters are selected arbitrarily , the values of these parameters are significant because the incorrect values lead to instability. Genetic algorithm finds best values for parameters. GA by minimizing the fitness function can find the optimal values ...
متن کاملStabilization and Tracking in Lorenz Chaotic System using Optimal Generalized Backstepping Method
This study deals with the control chaos using generalized backstepping method. This new method to control nonlinear systems was called generalized backstepping method because of its similarity to backstepping but its abilities to control more systems than backstepping. Generalized backstepping approach consists of parameters which accept positive values. The parameters are usually chosen option...
متن کامل