scholarly journals Conditional Symmetry of a Memristive System with Amplitude and Frequency Modulation Control

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Hongyan Zang ◽  
Lili Huang ◽  
Tengfei Lei ◽  
Yanling Wang
Keyword(s):  
Frequency Control ◽  
Symmetric System ◽  
Conditional Symmetry ◽  
Asymmetric System ◽  
System A ◽  
Offset Boosting ◽  
Memristive System ◽  
Modulation Control ◽  
Amplitude And Frequency Modulation ◽  
Multiple Stability

In this study, we studied the effects of offset boosting on the memristive chaotic system. A system with symmetry and conditional symmetry was constructed, by adding the absolute value function to an offset boosting system. It is proved that the symmetric system or a conditionally symmetric system can be constructed with similar or the same dynamic characteristics by using certain correction and offset boosting in an asymmetric system. In addition to multiple stability, the memristive system can also realize the amplitude and frequency control by introducing a parameter. The simulation circuit verifies the amplitude modulation characteristics of the system.

Simultaneous Time-Frequency Control of Multi-Dimensional Micro-Milling Instability

2012 ◽  
Author(s):  
Meng-Kun Liu ◽  
Eric B. Halfmann ◽  
C. Steve Suh
Keyword(s):  
Frequency Response ◽  
High Speed ◽  
Frequency Control ◽  
External Perturbation ◽  
Micro Milling ◽  
Time Frequency ◽  
System A ◽  
Control Concept ◽  
The Time Domain ◽  
Tool Damage

A novel control concept is presented for the online control of a high-speed micro-milling model system in the time and frequency domains concurrently. Micro-milling response at high-speed is highly sensitive to machining condition and external perturbation, easily deteriorating from bifurcation to chaos. When losing stability, milling time response is no longer periodic and the frequency response becomes broadband, rendering aberrational tool chatter and probable tool damage. The controller effectively mitigates the nonlinear vibration of the tool in the time domain and at the same time confines the frequency response from expanding and becoming chaotically broadband. The simultaneous time-frequency control is achieved through manipulating wavelet coefficients, thus not limited by the increasing bandwidth of the chaotic system — a fundamental restraint that deprives contemporary controller designs of validity and effectiveness. The feedforward feature of the control concept prevents errors from re-entering the control loop and inadvertently perturbing the sensitive micro-milling system. Because neither closed-form nor linearization is required, the innate, genuine features of the micro-milling response are faithfully retained.

Periodically varied initial offset boosting behaviors in a memristive system with cosine memductance

2019 ◽  
Vol 20 (12) ◽  
pp. 1706-1716 ◽  
Author(s):  
Mo Chen ◽  
Xue Ren ◽  
Hua-Gan Wu ◽  
Quan Xu ◽  
Bo-cheng Bao
Keyword(s):  
Offset Boosting ◽  
Memristive System

scholarly journals Temperature Effects on the Plasmon Modes of Double-layer Graphene

2012 ◽  
Vol 22 (1) ◽  
pp. 45-51 ◽  
Author(s):  
Dinh Van Tuan ◽  
Nguyen Quoc Khanh
Keyword(s):  
Double Layer ◽  
Finite Temperature ◽  
Temperature Effects ◽  
Effect Of Temperature ◽  
Symmetric System ◽  
Asymmetric System ◽  
Free Carriers ◽  
Layer Graphene ◽  
Plasmon Dispersion ◽  
Plasmon Modes

We calculate the dynamical dielectric function of doped double-layer graphene (DLG), made of two parallel graphene monolayers with carrier densities \(n_1, n_2\), respectively, and a separation interlayer of \(d\) at finite temperature. The results are used to find the dispersion of plasmon modes. We study the temperature effects on the DLG plasmon modes in the case of symmetric system \((n_1=n_2)\), asymmetric system \((n_1\neq n_2)\) and no free carriers in the second layer \((n_2=0)\). We show that the effect of temperature on the plasmon dispersion is significant and can not be ignored in investigating graphene properties.

scholarly journals Distributed Operation of Microgrids Considering Secondary Frequency Restoration Based on the Diffusion Algorithm

Energies ◽  
2020 ◽  
Vol 13 (12) ◽  
pp. 3207
Author(s):  
Su-Been Hong ◽  
Thai-Thanh Nguyen ◽  
Jinhong Jeon ◽  
Hak-Man Kim
Keyword(s):  
Distributed Control ◽  
Frequency Control ◽  
Hierarchical Control ◽  
Control Technique ◽  
Frequency Regulation ◽  
Distributed Generations ◽  
System A ◽  
Economic Operation ◽  
Secondary Layer

This paper proposes a distributed control of the microgrid (MG) system based on the diffusion algorithm. Unlike the existing decentralized strategy that focuses on the economic operation of the MG system, the proposed strategy performs secondary frequency regulation in addition to the optimization of the MG system. The hierarchical control technique is employed in this study, where the primary layer is responsible for power control and the secondary layer is responsible for the frequency control and economic operation of the MG system. A tested MG system with four distributed generations (DGs) is considered. Three types of communication topologies are evaluated in this study, which are line, ring, and full topologies. The proposed controller is compared to the conventional consensus controller to show the effectiveness of the proposed diffusion controller. Simulation results show that the proposed diffusion strategy improves the convergence speed of the distributed control, resulting in the improvement of power responses and frequency quality of the MG system. The tested system is implemented in the MATLAB/Simulink environment to show the feasibility of the proposed diffusion controller.

Generating Four-Wing Hyperchaotic Attractor and Two-Wing, Three-Wing, and Four-Wing Chaotic Attractors in 4D Memristive System

2017 ◽  
Vol 27 (02) ◽  
pp. 1750027 ◽  
Author(s):  
Ling Zhou ◽  
Chunhua Wang ◽  
Lili Zhou
Keyword(s):  
Chaotic System ◽  
Three Dimensional ◽  
Phase Portraits ◽  
Chaotic Attractors ◽  
Hyperchaotic System ◽  
Multiple Attractors ◽  
System A ◽  
Dynamical Behaviors ◽  
Memristive System ◽  
Line Of Equilibria

By adding only one smooth flux-controlled memristor into a three-dimensional (3D) pseudo four-wing chaotic system, a new real four-wing hyperchaotic system is constructed in this paper. It is interesting to see that this new memristive chaotic system can generate a four-wing hyperchaotic attractor with a line of equilibria. Moreover, it can generate two-, three- and four-wing chaotic attractors with the variation of a single parameter which denotes the strength of the memristor. At the same time, various coexisting multiple attractors (e.g. three-wing attractors, four-wing attractors and attractors with state transition under the same system parameters) are observed in this system, which means that extreme multistability arises. The complex dynamical behaviors of the proposed system are analyzed by Lyapunov exponents (LEs), phase portraits, Poincaré maps, and time series. An electronic circuit is finally designed to implement the hyperchaotic memristive system.

Simultaneous Time-Frequency Synchronization of Non-Autonomous Chaotic Systems

2013 ◽  
Author(s):  
Meng-Kun Liu ◽  
C. Steve Suh
Keyword(s):  
Chaotic System ◽  
Initial Conditions ◽  
Frequency Control ◽  
Frequency Synchronization ◽  
Time Frequency ◽  
System A ◽  
Frequency Domains ◽  
Control Concept ◽  
On Line ◽  
The Time Domain

A novel chaos control concept is presented for the synchronization of a non-autonomous chaotic circuit system in the time and frequency domains concurrently. The controller effectively eliminates the differences between two chaotic circuits in the time domain and at the same time restores the characteristics of the driving response in the frequency domain. The simultaneous time-frequency control is achieved through manipulating wavelet coefficients, thus not limited by the increasing bandwidth of the chaotic system — a fundamental restraint that deprives contemporary controller designs of validity and effectiveness. The feedforward feature of the control concept prevents errors from re-entering the control loop and inadvertently perturbing the sensitive chaotic system. Because neither closed-form nor linearization is required, the innate, genuine features of the chaotic response are faithfully retained. The on-line identification feature allows the response system to start at arbitrary initial conditions and to be driven by the sinusoidal forcing term of different amplitudes and phases requiring no knowledge of the system parameters.

Dynamics of Asymmetric Nonconservative Systems

1983 ◽  
Vol 50 (1) ◽  
pp. 199-203 ◽  
Author(s):  
D. J. Inman
Keyword(s):  
Sufficient Conditions ◽  
Symmetric System ◽  
Qualitative Behavior ◽  
Parameter System ◽  
Nonconservative Systems ◽  
Asymmetric System ◽  
Lumped Parameter ◽  
Stability And Instability ◽  
The Stability ◽  
Necessary And Sufficient

This work examines a linear, asymmetric lumped parameter system. Results on the qualitative behavior of a certain subclass of such systems are presented. In particular, necessary and sufficient conditions for the existence of a linear transformation that transforms an asymmetric system into an equivalent symmetric system are derived. Results on the stability and instability of such systems are presented and stated in terms of the original asymmetric system’s coefficient matrices. This work is compared with that of other authors and numerical examples illustrating the utility and correctness of the results are presented.

VIBRATIONAL RESONANCE IN AN ASYMMETRIC DUFFING OSCILLATOR

2011 ◽  
Vol 21 (01) ◽  
pp. 275-286 ◽  
Author(s):  
S. JEYAKUMARI ◽  
V. CHINNATHAMBI ◽  
S. RAJASEKAR ◽  
M. A. F. SANJUAN
Keyword(s):  
Duffing Oscillator ◽  
Gaussian White Noise ◽  
Slow Motion ◽  
Signal Frequency ◽  
Symmetric System ◽  
Potential Well ◽  
Vibrational Resonance ◽  
Asymmetric System ◽  
Additional Resonance ◽  
The Asymmetry

We analyze how the asymmetry of the potential well of the Duffing oscillator affects the vibrational resonance. We obtain, numerically and theoretically, the values of the low-frequency and amplitude of the high-frequency forces at which vibrational resonance occurs. Furthermore, we observe that an additional resonance is induced by the asymmetry of the potential well. We account the additional resonance in terms of resonant frequency of the slow motion of the system. Resonance occurs in the asymmetric system for the input signal frequency range for which it is not possible in the symmetric system. Resonance is also studied with nonsinusoidal input signals and in the presence of additive Gaussian white noise.

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