Nonlinear control method of chaos synchronization for arbitrary 2D quadratic dynamical systems in discrete-time

2014 ◽  
Vol 8 ◽  
pp. 2611-2617 ◽  
Author(s):  
Adel Ouannas
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Control ◽  
Discrete Time ◽  
Chaos Synchronization ◽  
Control Method ◽  
Nonlinear Control Method

CHAOS SYNCHRONIZATION OF FRACTIONAL ORDER UNIFIED CHAOTIC SYSTEM VIA NONLINEAR CONTROL

2011 ◽  
Vol 25 (03) ◽  
pp. 407-415 ◽  
Author(s):  
XIANG RONG CHEN ◽  
CHONG XIN LIU
Keyword(s):  
Nonlinear Control ◽  
Fractional Order ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Method ◽  
Fractional Order Systems ◽  
Unified Chaotic System ◽  
Simulation Results ◽  
Nonlinear Control Method ◽  
The Stability

Based on the stability theory of fractional order systems, an effective but theoretically rigorous nonlinear control method is proposed to synchronize the fractional order chaotic systems. Using this method, chaos synchronization between two identical fractional order unified systems is studied. Simulation results are shown to illustrate the effectiveness of this method.

Synchronization of Liu-Su-Liu and Liu-Chen-Liu Chaotic Systems by Nonlinear Feedback Control

2019 ◽  
Vol 16 (12) ◽  
pp. 4903-4907
Author(s):  
Regan Murugesan ◽  
Suresh Rasappan ◽  
Pugalarasu Rajan ◽  
Sathish Kumar Kumaravel
Keyword(s):  
Feedback Control ◽  
Nonlinear Control ◽  
Chaotic System ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Method ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Nonlinear Control Method ◽  
Different Chaotic Systems

This paper investigates the global chaos synchronization of identical Liu-Su-Liu chaotic systems (2006) and non-identical Liu-Su-Liu chaotic system (2006) and Liu-Chen-Liu chaotic system (2007). In this paper, active nonlinear control method has been successfully applied to synchronize two identical Liu-Su-Liu chaotic systems and then to synchronize two different chaotic systems, viz. Liu-Su-Liu and Liu-Chen-Liu chaotic systems. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is effective and convenient to synchronize Liu-Su-Liu and Liu-Chen-Liu chaotic systems. Numerical simulations are also given to illustrate the proposed synchronization approach.

scholarly journals Experimental Implementation of a Nonlinear Control Method for Magnetostrictive Transducers

2006 ◽  
Author(s):  
William S. Oates ◽  
Phillip Evans ◽  
Ralph C. Smith ◽  
Marcelo J. Dapino
Keyword(s):  
Nonlinear Control ◽  
Control Method ◽  
Experimental Implementation ◽  
Nonlinear Control Method

A Nonlinear Control Method for Bumpless Mode Transition in Noninverting Buck–Boost Converter

2021 ◽  
Vol 36 (2) ◽  
pp. 2166-2178
Author(s):  
Xing Weng ◽  
Zhengming Zhao ◽  
Kainan Chen ◽  
Liqiang Yuan ◽  
Ye Jiang
Keyword(s):  
Nonlinear Control ◽  
Control Method ◽  
Boost Converter ◽  
Mode Transition ◽  
Nonlinear Control Method

scholarly journals On Full-State Hybrid Projective Synchronization of General Discrete Chaotic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Adel Ouannas
Keyword(s):  
Lyapunov Stability ◽  
Discrete Time ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization ◽  
Nonlinear Control Method

The problems of full-state hybrid projective synchronization (FSHPS) and inverse full-state hybrid projective synchronization (IFSHPS) for general discrete chaotic systems are investigated in 2D. Based on nonlinear control method and Lyapunov stability theory, new controllers are designed to study FSHPS and IFSHPS, respectively, for 2D arbitrary chaotic systems in discrete-time. Numerical example and simulations are used to validate the main results of this paper.

Sign in / Sign up

Export Citation Format

Share Document