scholarly journals Design and Implementation of a Microcontroller Based Active Controller for the Synchronization of the Petrzela Chaotic System

Computation ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 40
Author(s):  
Rivera-Blas ◽  
Paredes ◽  
Flores-Herrera ◽  
Romero
Keyword(s):  
Applied Sciences ◽  
Active Control ◽  
Chaotic Systems ◽  
A Priori ◽  
Control Design ◽  
Control Law ◽  
Chaotic Dynamical System ◽  
Digital Oscilloscope ◽  
Digital Devices ◽  
Design And Implementation

This paper presents an active control design for the synchronization of two identical Petrzela chaotic systems (Petrzela, J.; Gotthans, T. New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure. Applied Sciences. 2017, 7, 976) on master-slave configuration. For the active control, the parameters of both systems are assumed to be a priori known, the control law by means of the dynamic of the error synchronization is designed to guarantee the convergence to zero of error states and the synchronization process is verified by numerical simulation. By taking advantage of the execution and implementation facilities of microcontroller based chaotic systems in digital devices, the active controller is implemented in a 32 bits ARM microcontroller. The experimental results were obtained by using the fourth order Runge-Kutta numerical method to integrate the differential equations of the controller, where the results were measured with a digital oscilloscope.

Robust control design and implementation on the Middeck Active Control Experiment

1994 ◽  
Vol 17 (6) ◽  
pp. 1163-1170 ◽  
Author(s):  
Simon Grocott ◽  
Jonathan How ◽  
David Miller ◽  
Douglas MacMartin ◽  
Ketao Liu
Keyword(s):  
Robust Control ◽  
Active Control ◽  
Control Experiment ◽  
Control Design ◽  
Design And Implementation ◽  
Robust Control Design

PID control design and implementation for laboratory scale infant incubator temperature using FOPDT model

2020 ◽  
Author(s):  
Akif Rahmatillah ◽  
Inten Fauziah Hidayat ◽  
Alfian Pramudita Putra ◽  
Osmalina Nur Rahma ◽  
Suhariningsih
Keyword(s):  
Pid Control ◽  
Control Design ◽  
Laboratory Scale ◽  
Design And Implementation ◽  
Infant Incubator

On the Potential for Entangled States Between Chaotic Systems

2014 ◽  
Vol 24 (06) ◽  
pp. 1450077 ◽  
Author(s):  
Matthew A. Morena ◽  
Kevin M. Short
Keyword(s):  
Dynamical System ◽  
Periodic Orbits ◽  
Chaotic Systems ◽  
Entangled States ◽  
Future Research ◽  
Unstable Periodic Orbits ◽  
Qualitative Information ◽  
Chaotic Dynamical System ◽  
Naturally Occurring ◽  
External Intervention

We report on the tendency of chaotic systems to be controlled onto their unstable periodic orbits in such a way that these orbits are stabilized. The resulting orbits are known as cupolets and collectively provide a rich source of qualitative information on the associated chaotic dynamical system. We show that pairs of interacting cupolets may be induced into a state of mutually sustained stabilization that requires no external intervention in order to be maintained and is thus considered bound or entangled. A number of properties of this sort of entanglement are discussed. For instance, should the interaction be disturbed, then the chaotic entanglement would be broken. Based on certain properties of chaotic systems and on examples which we present, there is further potential for chaotic entanglement to be naturally occurring. A discussion of this and of the implications of chaotic entanglement in future research investigations is also presented.

Control Design and Implementation for Sawyer Motors Used in Manufacturing Systems

2011 ◽  
Vol 19 (6) ◽  
pp. 1467-1478 ◽  
Author(s):  
Prashanth Krishnamurthy ◽  
Farshad Khorrami ◽  
Tzer Leei Ng ◽  
Igor Cherepinsky
Keyword(s):  
Manufacturing Systems ◽  
Control Design ◽  
Design And Implementation

Design and implementation of digital secure communication based on synchronized chaotic systems

2010 ◽  
Vol 20 (1) ◽  
pp. 229-237 ◽  
Author(s):  
Jui-Sheng Lin ◽  
Cheng-Fang Huang ◽  
Teh-Lu Liao ◽  
Jun-Juh Yan
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Design And Implementation

Simultaneous Optimal Design of the Lyapunov-Based Semi-Active Control and the Semi-Active Vibration Control Device: Inverse Lyapunov Approach

2010 ◽  
Author(s):  
Kazuhiko Hiramoto ◽  
Taichi Matsuoka ◽  
Akira Fukukita ◽  
Katsuaki Sunakoda
Keyword(s):  
Optimal Design ◽  
Lyapunov Function ◽  
Vibration Control ◽  
Active Control ◽  
Control Device ◽  
Ball Screw ◽  
Design Parameters ◽  
Resistance Force ◽  
Control Law ◽  
Lyapunov Approach

We address a simultaneous optimal design problem of a semi-active control law and design parameters in a vibration control device for civil structures. The Vibration Control Device (VCD) that is being developed by authors is used as the semi-active control device in the present paper. The VCD is composed of a mechanism of a ball screw with a flywheel for the inertial resistance force and an electric motor with an electric circuit for the damping resistance force. A new bang-bang type semi-active control law referred to as Inverse Lyapunov Approach is proposed as the semi-active control law. In the Inverse Lyapunov Approach the Lyapunov function is searched so that performance measures in structural vibration control are optimized in the premise of the bang-bang type semi-active control based on the Lyapunov function. The design parameters to determine the Lyapunov function and the design parameters of the VCD are optimized for the good performance of the semi-active control system. The Genetic Algorithm is employed for the optimal design.

scholarly journals Design and Implementation of a Chaotic Scheme in Additive White Gaussian Noise Channel

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Nizar Al Bassam ◽  
Oday Jerew
Keyword(s):  
Bit Error Rate ◽  
Gaussian Noise ◽  
Chaotic Systems ◽  
Gaussian Approximation ◽  
Additive White Gaussian Noise ◽  
Design And Implementation ◽  
Shift Keying ◽  
Transmitted Signal ◽  
Chaos Shift Keying ◽  
Channel Environment

A new chaotic scheme named Flipped Chaotic On-Off Keying (FCOOK) is proposed for binary transmission. In FCOOK, the low correlation value between the stationary signal and its mirrored version is utilized. Transmitted signal for binary 1 is a chaotic segment added to its time flipped (mirrored) version within one bit duration, while in binary 0, no transmission takes place within the same bit duration. The proposed scheme is compared with the standard chaotic systems: Differential Chaos Shift Keying (DCSK) and Correlation Delay Shift Keying (CDSK). The Bit Error Rate (BER) of FCOOK is studied analytically based on Gaussian approximation method. Results show that the BER performance of FCOOK outperforms DCSK and CDSK in AWGN channel environment and with variousEb/Nolevels. Additionally, FCOOK offers a double bit rate compared with the standard DCSK.

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