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

800
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...
800
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

500
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...
500
Effects of feedback01:24

Effects of feedback

1.1K
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...
1.1K
Second Order systems II01:18

Second Order systems II

556
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
556
Controller Configurations01:22

Controller Configurations

484
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...
484
PD Controller: Design01:26

PD Controller: Design

761
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
761

You might also read

Related Articles

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

Sort by
Same author

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
Same author

The role of memory-based movements in the formation of animal home ranges.

Journal of mathematical biology·2024
Same author

Efficacy of Wolbachia-based mosquito control: Predictions of a spatially discrete mathematical model.

PloS one·2024
Same author

Growth Analysis of Untreated Meningiomas under Observation.

Journal of neurological surgery. Part A, Central European neurosurgery·2021
Same author

Phylogenomic analyses of the genus Drosophila reveals genomic signals of climate adaptation.

Molecular ecology resources·2021
Same author

Modeling action potential reversals in tunicate hearts.

Physical review. E·2021
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Related Experiment Video

Updated: Apr 29, 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

4.3K

Restricted feedback control in discrete-time dynamical systems with memory.

Kathryn G Workman1, Shuang Zhao1, John W Cain2

  • 1Department of Mathematics and Computer Science, University of Richmond, 28 Westhampton Way, Richmond, Virginia 23173, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 16, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces a restricted feedback control method for discrete-time systems, applicable when perturbations can only occur every other time step. This approach stabilizes unstable equilibria in dynamical systems, with relevance to cardiac electrophysiology.

More Related Videos

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.2K
Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
06:04

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Published on: February 14, 2025

1.1K

Related Experiment Videos

Last Updated: Apr 29, 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

4.3K
Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.2K
Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
06:04

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Published on: February 14, 2025

1.1K

Area of Science:

  • Control Theory
  • Dynamical Systems
  • Cardiac Electrophysiology

Background:

  • Systems can lose stability, leading to undesirable behaviors like oscillations or chaos.
  • Closed-loop feedback control is often used to stabilize unstable equilibrium states.
  • Traditional discrete-time control requires perturbations at every time step, which is not always feasible.

Purpose of the Study:

  • To analyze a restricted feedback control method for discrete-time systems.
  • To investigate control strategies where perturbations are applied only in alternate time steps.
  • To demonstrate the applicability of this restricted control in cardiac electrophysiology.

Main Methods:

  • Theoretical analysis of a restricted feedback control strategy.
  • Application of the control method to a discrete-time model.
  • Validation using an example from cardiac electrophysiology.

Main Results:

  • The restricted feedback control method can effectively stabilize unstable equilibria in discrete-time systems.
  • The analysis confirms the feasibility of applying control interventions every other time step.
  • The cardiac electrophysiology example serves as a practical test case for the theory.

Conclusions:

  • Restricted feedback control offers a viable alternative for stabilizing discrete-time systems when full-time-step control is impossible.
  • The developed theory and methods are relevant to complex biological systems like the heart.
  • The proposed control strategy is experimentally tractable.