Adaptive control and synchronization of identical new chaotic flows with unknown parameters via single input

2010 ◽  
Vol 216 (4) ◽  
pp. 1316-1324 ◽  
Author(s):  
Chi-Ching Yang
Keyword(s):  
Adaptive Control ◽  
Unknown Parameters ◽  
Chaotic Flows ◽  
Single Input ◽  
Control And Synchronization

scholarly journals Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
M. M. El-Dessoky ◽  
M. T. Yassen
Keyword(s):  
Dynamical System ◽  
Adaptive Control ◽  
Feedback Control ◽  
Chaos Control ◽  
Control Technique ◽  
Unknown Parameters ◽  
Chaotic Dynamical System ◽  
Adaptive Feedback ◽  
Adaptive Feedback Control ◽  
Control And Synchronization

This paper investigates the problem of chaos control and synchronization for new chaotic dynamical system and proposes a simple adaptive feedback control method for chaos control and synchronization under a reasonable assumption. In comparison with previous methods, the present control technique is simple both in the form of the controller and its application. Based on Lyapunov's stability theory, adaptive control law is derived such that the trajectory of the new system with unknown parameters is globally stabilized to the origin. In addition, an adaptive control approach is proposed to make the states of two identical systems with unknown parameters asymptotically synchronized. Numerical simulations are shown to verify the analytical results.

A Modification of Adaptive Control and Synchronization of a New Hyper-Chaotic System with Unknown Parameters

2012 ◽  
Vol 155-156 ◽  
pp. 1189-1192
Author(s):  
Yu Liang Cheng ◽  
Jun Wei Lei ◽  
Wen Guang Zhang
Keyword(s):  
Numerical Simulation ◽  
Parameter Estimation ◽  
Adaptive Control ◽  
Chaotic System ◽  
Unknown Parameters ◽  
Control And Synchronization

A modification to the parameter estimation update law in [Q. Jia, Adaptive control and synchronization of a new hyper chaotic system with unknown parameters, Phys. Lett. A 362 (2007) 424] is proposed. So the unknown parameters are avoided to be used to construct a controller and also numerical simulation is done at the end of this paper and good performance is achieved to testified the rightness and effectiveness of the proposed method.

scholarly journals Adaptive Control and Synchronization of Sprott J System With Estimation Of Fully Unknown Parameters

2015 ◽  
Vol 45 (2) ◽  
pp. 45-58 ◽  
Author(s):  
Mitul Islam ◽  
Nurul Islam ◽  
Svetoslav Nikolov
Keyword(s):  
Dynamical System ◽  
Adaptive Control ◽  
Lyapunov Function ◽  
Numerical Simulations ◽  
Unknown Parameters ◽  
Adaptive Scheme ◽  
System A ◽  
Control And Synchronization ◽  
Synchronization Scheme ◽  
Derivatives Of

Abstract This communication develops an adaptive scheme for control and synchronization of Sprott J system with fully unknown parameters. The scheme provides an elegant strategy of designing estimators for identification of the unknown parameters of the underlying dynamical system. Adaptive control and update laws are proposed to globally stabilize the chaotic Sprott J system. A pair of identical Sprott J systems with un- known parameters are globally synchronized with the help of adaptive control and parameter update laws. The results are established using LaSalle invariance principle, which lays down weaker restrictions on the derivatives of the Lyapunov function, and producing more general results. All the results obtained in the paper are global in nature. Numerical simulations are performed to illustrate the validity and effectiveness of the proposed adaptive control and synchronization scheme in the context of the Sprott J system. The parameter identification capability of the scheme is also explored.

scholarly journals Adaptive Control of a Vehicular Platoon with Unknown Parameters and Input Variations

2020 ◽  
Vol 53 (2) ◽  
pp. 13876-13881
Author(s):  
Mohammad Pourmahmood Aghababa ◽  
Mehrdad Saif ◽  
Bahram Shafai
Keyword(s):  
Adaptive Control ◽  
Unknown Parameters

Logic-Based Switching Adaptive Control of DC-DC Buck Converter

2012 ◽  
Vol 229-231 ◽  
pp. 2209-2212
Author(s):  
Bao Bin Liu ◽  
Wei Zhou
Keyword(s):  
Adaptive Control ◽  
Closed Loop ◽  
Buck Converter ◽  
Uncertain Parameters ◽  
Small Signal ◽  
Closed Loop System ◽  
Unknown Parameters ◽  
Signal Model ◽  
Small Signal Model ◽  
Control Scheme

Logic-based switching adaptive control scheme is proposed for the model of DC-DC buck converter in presence of uncertain parameters and power supply disturbance. All uncertain parameters and the disturbance are estimated together through constructing Lyapunov function. And a switching mechanism is used to ensure global asymptotic stability of the closed-loop system. The results of simulation show that even if there are multiple unknown parameters in the small-signal model, the control system of DC-DC buck converter can estimate unknown parameters quickly and accurately.

scholarly journals Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Baojie Zhang ◽  
Hongxing Li
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Scaling Function ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Reference Systems ◽  
Unknown Parameters ◽  
Hyperchaotic Systems ◽  
Function Matrix

Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is up to a scaling function matrix and three kinds of reference systems, respectively. Numerical simulations are used to verify the effectiveness of the scheme.

Robust Adaptive Tracking Control of Autonomous Underwater Vehicle-Manipulator Systems

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Mohan Santhakumar ◽  
Jinwhan Kim
Keyword(s):  
Adaptive Control ◽  
Control Algorithm ◽  
Autonomous Underwater Vehicle ◽  
Underwater Vehicle ◽  
Dynamic Coupling ◽  
Unknown Parameters ◽  
Adaptive Tracking Control ◽  
Control Scheme ◽  
Robust Adaptive ◽  
Model Reference Adaptive

This paper proposes a new tracking controller for autonomous underwater vehicle-manipulator systems (UVMSs) using the concept of model reference adaptive control. It also addresses the detailed modeling and simulation of the dynamic coupling between an autonomous underwater vehicle and manipulator system based on Newton–Euler formulation scheme. The proposed adaptation control algorithm is used to estimate the unknown parameters online and compensate for the rest of the system dynamics. Specifically, the influence of the unknown manipulator mass on the control performance is indirectly captured by means of the adaptive control scheme. The effectiveness and robustness of the proposed control scheme are demonstrated using numerical simulations.

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