An Adaptive Sliding Mode Control (ASMC) scheme is proposed for the synchronization of two chaotic nonlinear systems. Due to sliding mode control methodology, a sliding surface is determined and the control law (synchronization method) is established. The proposed method can force an uncertain chaotic dynamic (slave dynamic) to trace another chaotic dynamic (master dynamic) without oscillating v...

In this paper, we discuss anti-synchronization between two identical new chaotic systems and anti-synchronization between another two identical new chaotic systems by active nonlinear control. The sufficient conditions for achieving the anti-synchronization of two new chaotic systems are derived based on Lyapunov stability theory. Numerical simulations are provided for illustration and verifica...

Based on Lyapunov stability theory and matrix measure, this paper presents a new generic criterion of global chaotic synchronization for bidirectional coupled chaotic system with time-delay. A new chaotic system with four-scroll attractor is chosen as an example to verify the effectiveness of the criterion. Numerical simulation are shown for demonstration. 2006 Published by Elsevier Ltd.

In this paper, control of a non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions take place has been addressed. The reactor shows chaotic behavior for a certain set of reactor parameters. In order to control the product concentration, an optimal state feedback controller has been designed. Since concentrations of reactor species are ...

The Chua’s chaotic system is modeled as a nonlinear feedback cascade system and a nonlinear controller is proposed with the nonlinear recursive algorithm. The design process for the proposed controller is given in detail and the system stability is proved with the Lyapunov stability theory. Simulation results show that the Chua’s chaotic system in any state can be asymptotically stabilized to t...

This research work describes a nine-term 3-D novel chaotic system with four quadratic nonlinearities. First, this work describes the dynamic analysis of the novel chaotic system and qualitative properties of the novel chaotic system are derived. The Lyapunov exponents of the nine-term novel chaotic system are obtained as L1 1⁄4 9:45456; L2 1⁄4 0 and L3 1⁄4 30:50532. Since the maximal Lyapunov e...

A novel nonlinear fractional order sliding mode controller is proposed to control the chaotic atomic force microscope system in presence of uncertainties and disturbances. In the design of the suggested fractional order controller, conformable fractional order derivative is applied. The stability of the scheme is proved by means of the Lyapunov theory based on conformable fractional order deriv...

ABSTRACT. In this paper, we design a novel impulsive control law to stabilize a new class of chaotic systems. Using a non-quadratic Lyapunov function candidate and a stability theorem in [10], we derive some algebraic sufficient conditions which ensure the asymptotical stability of the chaotic system under the impulsive control strategy. Finally, a numerical example is presented to illustrate t...

A nonlinear chattering-free sliding mode control method is designed to stabilize fractional chaotic systems with model uncertainties and external disturbances. The main feature of this controller is rapid convergence to equilibrium point, minimize chattering and resistance against uncertainties. The frequency distributed model is used to prove the stability of the controlled system based on dir...