Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

329
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
329
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

414
Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...
414
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

311
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
311
Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

280
Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
280
First Order Systems01:21

First Order Systems

258
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
258
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

566
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
566

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The Intricacies of Sprott-B System with Fractional-Order Derivatives: Dynamical Analysis, Synchronization, and Circuit Implementation.

Entropy (Basel, Switzerland)·2023
Same author

Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook.

Sensors (Basel, Switzerland)·2023
Same author

Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case.

Entropy (Basel, Switzerland)·2021
Same author

Strange Attractors Generated by Multiple-Valued Static Memory Cell with Polynomial Approximation of Resonant Tunneling Diodes.

Entropy (Basel, Switzerland)·2020
Same author

CMOS Current Feedback Operational Amplifier-Based Relaxation Generator for Capacity to Voltage Sensor Interface.

Sensors (Basel, Switzerland)·2018

Related Experiment Video

Updated: Nov 27, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.4K

Fractional-Order Chaotic Memory with Wideband Constant Phase Elements.

Jiri Petrzela1

  • 1Department of Radio Electronics, Faculty of Electronical Engineering and Communications, Brno University of Technology, 616 00 Brno, Czech Republic.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary

This study presents constant phase elements (CPEs) for wideband applications and demonstrates their use in designing fractional-order (FO) ternary memory circuits. These circuits exhibit robust chaotic behavior, validated through numerical and experimental analysis.

Keywords:
admittance function synthesisapproximate entropychaotic oscillatorconstant phase elementfractional-orderfrequency responseternary memoryzeroes and poles

More Related Videos

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.1K
Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

6.4K

Related Experiment Videos

Last Updated: Nov 27, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.4K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.1K
Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

6.4K

Area of Science:

  • Electrical Engineering
  • Nonlinear Dynamics
  • Circuit Theory

Background:

  • Constant Phase Elements (CPEs) are crucial for modeling wideband impedance.
  • Ternary memory circuits offer unique dynamic properties.
  • Fractional-order (FO) systems exhibit complex behaviors.

Purpose of the Study:

  • To present a gallery of CPEs for wideband applications.
  • To investigate the dynamics of ternary memory circuits.
  • To realize and analyze FO ternary memory as a chaotic oscillator.

Main Methods:

  • Calculation of CPEs for specific phase steps (e.g., 1/4, 1/2, 3/4) and provision of design values for RC ladder circuits.
  • Analysis of the chaotic behavior in series-connected resonant tunneling diodes.
  • Direct application of CPEs to construct FO ternary memory and validation through numerical simulation and experimental measurement.

Main Results:

  • Accurate CPEs with a maximal phase error < 1.5° across a wide frequency range (3 Hz to 1 MHz).
  • Discovery of robust chaotic behavior in ternary memory dynamics.
  • Demonstration of structurally stable strange attractors in FO ternary memory chaotic oscillators.

Conclusions:

  • The developed CPEs are suitable for accurate wideband circuit design.
  • Fractional-order ternary memory circuits can function as robust chaotic oscillators.
  • The findings bridge circuit theory, nonlinear dynamics, and practical applications.