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

Feedback control systems01:26

Feedback control systems

Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Effects of feedback01:24

Effects of feedback

Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
Feedback significantly modifies the gain of a control system. The gain of a system without feedback is altered by a factor of one plus GH, where G represents...
Controller Configurations01:22

Controller Configurations

Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller aligns...
Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
Control System Problem01:21

Control System Problem

In an open-loop system, such as a basic thermostat, the poles of the transfer function influence the system's response but do not determine its stability. However, when feedback is introduced to form a closed-loop system, such as an advanced thermostat that adjusts heating based on room temperature, stability is governed by the new poles of the closed-loop transfer function.
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...

You might also read

Related Articles

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

Sort by
Same author

Heterogeneous comparators and unadjusted differences may bias PRO comparisons of B/F/TAF: a letter to editor in response to "Health care provider- and patient-reported outcomes for bictegravir/emtricitabine/tenofovir alafenamide versus other antiretroviral regimens: an observational survey in the United States".

Current medical research and opinion·2026
Same author

Cancer Risk in Men with HIV in Japan: An 18-Year Single-Center Cohort Study.

Cancers·2026
Same author

Letter to the Editor Regarding "Advanced Liver Disease Events in People with HIV and Hepatitis B Virus Coinfection Initiating Antiretroviral Therapy in the United States".

Infectious diseases and therapy·2026
Same author

The shifting burden of mortality among men with HIV in Japan between 2007 and 2024: a single-center retrospective cohort study.

BMC infectious diseases·2025
Same author

Research to evaluate safety and impact of long COVID intervention with Ensitrelvir for National Cohort (RESILIENCE Study): A protocol for a randomized, double-blind, placebo-controlled trial.

PloS one·2025
Same author

Partial amplitude death in delay-coupled oscillators with complete multipartite graphs.

Physical review. E·2025

Related Experiment Video

Updated: May 27, 2026

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
08:18

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

Published on: August 15, 2020

Dynamical singularities in adaptive delayed-feedback control.

Asaki Saito1, Keiji Konishi

  • 1Future University Hakodate, 116-2 Kameda Nakano-cho, Hakodate, Hokkaido 041-8655, Japan. saito@fun.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 9, 2011
PubMed
Summary

Adaptive delayed-feedback control systems show unique dynamics, including power-law decay and near-zero Lyapunov exponents. These characteristics are linked to system parameters nearing a stability boundary.

More Related Videos

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces
10:51

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces

Published on: March 10, 2011

Related Experiment Videos

Last Updated: May 27, 2026

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
08:18

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

Published on: August 15, 2020

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces
10:51

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces

Published on: March 10, 2011

Area of Science:

  • Dynamical Systems and Control Theory
  • Nonlinear Dynamics
  • Chaos Control

Background:

  • Delayed-feedback control is a method for stabilizing unstable periodic orbits in nonlinear systems.
  • Adaptive control adjusts system parameters in real-time to optimize performance or stability.
  • Understanding the interplay between adaptation and time delays is crucial for complex system analysis.

Purpose of the Study:

  • To investigate the dynamical characteristics of adaptive delayed-feedback control systems.
  • To analyze the singularities and stability properties of these adaptive systems.
  • To provide a theoretical explanation for observed dynamical behaviors.

Main Methods:

  • Utilizing a discrete-time adaptive control method for detailed analysis.
  • Characterizing the system's Jacobian matrix and its eigenvalues.
  • Examining system parameters in relation to stability boundaries.

Main Results:

  • Demonstrated power-law decay in the distribution of transient times.
  • Observed almost zero finite-time Lyapunov exponents.
  • Identified a Jacobian matrix with a unity eigenvalue across the phase space.
  • Showed system parameters approaching a stability boundary identical to nonadaptive systems.

Conclusions:

  • Adaptive delayed-feedback control systems exhibit unique dynamical singularities.
  • The observed behaviors are explained by specific Jacobian properties and proximity to stability limits.
  • These findings offer insights into the fundamental dynamics of adaptive control in the presence of time delays.