scholarly journals Initial Value Determination of Chua System with Hidden Attractors and Its DSP Implementation

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Xianming Wu ◽  
Weijie Tan ◽  
Huihai Wang
Keyword(s):  
Numerical Simulation ◽  
Digital Signal Processor ◽  
Digital Signal ◽  
Hidden Attractors ◽  
Initial Value ◽  
Circuit Realization ◽  
Dsp Implementation ◽  
Simulation Results ◽  
Value Determination

In this paper, a method for determining the initial value of the hidden attractors in the Chua system is studied. The initial value of the hidden attractors can be calculated quickly and accurately by the proposed method, and the hidden attractors can be found by numerical simulation. Then, the initial values of the hidden attractors are set accurately by digital signal processor (DSP), so as to the circuit realization of the chaotic system with hidden attractors is performed. The results show that the numerical simulation results of Matlab are consistent with the experimental results of DSP.

Bursting, Dynamics, and Circuit Implementation of a New Fractional-Order Chaotic System With Coexisting Hidden Attractors

2019 ◽  
Vol 14 (7) ◽  
Author(s):  
Meng Jiao Wang ◽  
Xiao Han Liao ◽  
Yong Deng ◽  
Zhi Jun Li ◽  
Yi Ceng Zeng ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Fractional Order ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Equilibrium Points ◽  
Neuroendocrine Cells ◽  
Order System ◽  
Hidden Attractors ◽  
Main Mode ◽  
Circuit Realization

Systems with hidden attractors have been the hot research topic of recent years because of their striking features. Fractional-order systems with hidden attractors are newly introduced and barely investigated. In this paper, a new 4D fractional-order chaotic system with hidden attractors is proposed. The abundant and complex hidden dynamical behaviors are studied by nonlinear theory, numerical simulation, and circuit realization. As the main mode of electrical behavior in many neuroendocrine cells, bursting oscillations (BOs) exist in this system. This complicated phenomenon is seldom found in the chaotic systems, especially in the fractional-order chaotic systems without equilibrium points. With the view of practical application, the spectral entropy (SE) algorithm is chosen to estimate the complexity of this fractional-order system for selecting more appropriate parameters. Interestingly, there is a state variable correlated with offset boosting that can adjust the amplitude of the variable conveniently. In addition, the circuit of this fractional-order chaotic system is designed and verified by analog as well as hardware circuit. All the results are very consistent with those of numerical simulation.

Accurate Determination of Critical Safety Height During Available Safe Egress Time Assessment

2016 ◽  
Vol 13 (10) ◽  
pp. 7545-7547
Author(s):  
Xuefeng Han ◽  
Yao Deng ◽  
Xiaomei Wang ◽  
Juncheng Jiang
Keyword(s):  
Numerical Simulation ◽  
Heat Release ◽  
Heat Release Rate ◽  
Release Rate ◽  
Accurate Determination ◽  
Hazard Index ◽  
Simulation Results ◽  
Time Assessment ◽  
Selection Of

When evaluating the ASET (available safe egress time), the fire scenario and the heat release rate (HRR) of the fire need to be set firstly according to the function and the combustible materials of the building, then CFD (Computational Fluent Dynamics) software is used to perform simulations. The ASET is obtained at the time when the hazard index of smoke reaches the minimum value at a safety height, and this height could be defined as critical safety height. It is very important to select critical safety height and heat release rate for the accuracy of the simulation results. The variation of selection of the critical safety height in references is large and it is lacking of credible evidence. This paper discusses the critical safety height based on statistics, probability and ergonomicsvvso as to improve the accuracy, credibility and reliability of the numerical simulation.

DSP Implementation of a Direct Adaptive Feedforward Control Algorithm for Rejecting Repeatable Runout in Hard Disk Drives

2016 ◽  
Author(s):  
Jinwen Pan ◽  
Prateek Shah ◽  
Roberto Horowitz
Keyword(s):  
Digital Signal Processor ◽  
Control Method ◽  
Feedforward Control ◽  
Hard Disk Drives ◽  
Digital Signal ◽  
Hard Disk ◽  
Disk Drives ◽  
Bit Patterned Media ◽  
Dsp Implementation ◽  
Adaptive Feedforward

A direct adaptive feedforward control method for tracking repeatable runout (RRO) in bit patterned media recording (BPMR) hard disk drives (HDD) is proposed. The technique estimates the system parameters and the residual RRO simultaneously and constructs a feedforward signal based on a known regressor. An improved version of the proposed algorithm to avoid matrix inversion and reduce computation complexity is given. Results for both MATLAB simulation and digital signal processor (DSP) implementation are provided to verify the effectiveness of the proposed algorithm.

A New Method Used to Eliminate the DC Component of Grid-Connected Inverter

2013 ◽  
Vol 347-350 ◽  
pp. 1557-1560
Author(s):  
Zhi Yu Wang ◽  
Yong Qiang Zhu
Keyword(s):  
Digital Signal Processor ◽  
Digital Signal ◽  
Decoupling Control ◽  
New Method ◽  
Elimination Method ◽  
Simulation Results ◽  
Dc Component ◽  
Grid Connected Inverter ◽  
The Impact ◽  
Conditioning Circuit

Due to the impact from the conditioning circuit, it is easy to generate DC component for the reference voltage when the digital signal processor (DSP) sampling the grid voltage. It cannot eliminate the DC component for the grid inverter based on feed-forward decoupling control, and this would bring the DC component to the inverter voltage. The traditional DC component elimination method includes two aspects of hardware and software. This paper presents a new method to eliminate the DC component. The simulation results show that the algorithm is correct by using PSCAD/EMTDC.

scholarly journals Determination of the Electromagnetic Field on the Surface of the Beam Splitter of Laser Interferometer by Measuring the Displacements of Control Object Surfaces

2018 ◽  
Vol 8 (11) ◽  
pp. 2137 ◽  
Author(s):  
Igor Miroshnichenko ◽  
Ivan Parinov ◽  
Shun-Hsyung Chang ◽  
Hung-Yu Wang
Keyword(s):  
Numerical Simulation ◽  
Electromagnetic Field ◽  
Beam Splitter ◽  
Laser Interferometer ◽  
Control Object ◽  
Numerical Studies ◽  
Simulation Results ◽  
Optical Circuits ◽  
Theoretical Results

The paper describes in detail the governing relationships for the electromagnetic field on the surface of the laser beam splitter of a laser interferometer. These expressions are intended for numerical simulation of measuring the displacements of control object surfaces by using a laser interferometer. We consider the cases of perpendicular and parallel polarizations of the radiation source. Moreover, the most relevant particular cases of constructing optical circuits of the interferometer in question are treated. The presented theoretical results have been used in numerical studies of the functional characteristics of promising contactless optical means of measuring displacements. The use of the described results has improved the quality and informativeness of the numerical simulation results of the measurement process of displacements by a laser interferometer.

Hopf Bifurcation and Hidden Attractors of a Delay-Coupled Duffing Oscillator

2015 ◽  
Vol 25 (12) ◽  
pp. 1550162 ◽  
Author(s):  
Huitao Zhao ◽  
Yiping Lin ◽  
Yunxian Dai
Keyword(s):  
Numerical Simulation ◽  
Hopf Bifurcation ◽  
Stable Equilibrium ◽  
Duffing Oscillator ◽  
Sufficient Conditions ◽  
Hidden Attractors ◽  
Characteristic Roots ◽  
Delayed System ◽  
Simulation Results ◽  
Spatio Temporal

In this paper, a delay-coupled Duffing equation is studied. By the characteristic roots technique, sufficient conditions are obtained for Hopf bifurcation occurrence. And the spatio-temporal patterns of the bifurcating periodic solutions are also obtained, some examples are given to demonstrate the theoretical analysis. Especially, the obtained numerical simulation results show that there are hidden attractors in this delayed system, which can coexist with stable equilibrium or stable bifurcating orbits.

The Numerical Simulation of Swirling Airflow Field for Different Swirling Airflow Head in Swirling Airflow Finishing

2014 ◽  
Vol 678 ◽  
pp. 582-586
Author(s):  
Jie Zeng ◽  
Zhi Yan Hou ◽  
Hao Zeng Jiang
Keyword(s):  
Numerical Simulation ◽  
Radial Distribution ◽  
Flow Line ◽  
Tangential Velocity ◽  
Line Graphs ◽  
Airflow Field ◽  
Simulation Results ◽  
Application Scope

The key of swirling airflow finishing is how to generate the swirling airflow. In the paper, three swirling airflow head are discussed according the manners of tangential inflow. By means of FLUENT, the general software of CFD, the swirling airflow field from different airflow head is simulated. The simulation results are shown by the flow line graphs, tangential velocity, radial distribution graphs, etc. All we have studied is as the basis for the determination of the application scope of each swirling airflow head.

Multiscroll Hyperchaotic System with Hidden Attractors and Its Circuit Implementation

2019 ◽  
Vol 29 (09) ◽  
pp. 1950117 ◽  
Author(s):  
Xin Zhang ◽  
Chunhua Wang
Keyword(s):  
Numerical Simulation ◽  
Adaptive Control ◽  
Theoretical Analysis ◽  
Chaotic System ◽  
Control Method ◽  
Hyperchaotic System ◽  
Circuit Implementation ◽  
Hidden Attractors ◽  
System A ◽  
Simulation Results

Based on the study on Jerk chaotic system, a multiscroll hyperchaotic system with hidden attractors is proposed in this paper, which has infinite number of equilibriums. The chaotic system can generate [Formula: see text] scroll hyperchaotic hidden attractors. The dynamic characteristics of the multiscroll hyperchaotic system with hidden attractors are analyzed by means of dynamic analysis methods such as Lyapunov exponents and bifurcation diagram. In addition, we have studied the synchronization of the system by applying an adaptive control method. The hardware experiment of the proposed multiscroll hyperchaotic system with hidden attractors is carried out using discrete components. The hardware experimental results are consistent with the numerical simulation results of MATLAB and the theoretical analysis results.

scholarly journals OPTIMIZATION PARAMETERS OF IRRIGATION PROCESS ACCORDING TO THE UNIFORMITY

2012 ◽  
Vol 15 (1) ◽  
pp. 80-89
Author(s):  
Tuyen Vo ◽  
Nam Thanh Nguyen ◽  
Lien Duc Hoang
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Experimental Determination ◽  
Optimal Parameters ◽  
Optimization Parameters ◽  
Simulation Results

In order to determine the optimal parameters of irrigation process in order to verify the accuracy of the numerical simulation results of experimental determination of the effective spray during irrigation [2], [6]. This paper will conduct empirical planning, establishing empirical mathematical model to determine the diameter of the nozzle, swirl coefficient and irrigation output according to the uniformity.

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