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

Quadratic Models01:23

Quadratic Models

42
Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
42
Actor-Observer Effect01:23

Actor-Observer Effect

82
The actor-observer effect, a cognitive bias closely linked to the fundamental attribution error, refers to the tendency for individuals to attribute their behavior to external, situational factors while explaining others’ behavior in terms of internal, dispositional traits. This asymmetry in attribution significantly influences social perception and judgment.Cognitive Mechanisms Behind the EffectTwo primary psychological mechanisms contribute to the actor-observer effect: differences in...
82
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

6.2K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
6.2K
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

155
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
155
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

646
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
646
Second Order systems II01:18

Second Order systems II

242
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.
242

You might also read

Related Articles

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

Sort by
Same author

Cross-Sectional Study on the Relationship of Some Prognostic Factors of Endodontic Treatment With the Presence and Size of Periapical Lesions in Endodontically Treated Mandibular Anterior and Premolar Teeth Using Cone-Beam Computed Tomography.

International journal of dentistry·2026
Same author

Configuration and Optimization of a Minichannel Using Water-Alumina Nanofluid by Non-Dominated Sorting Genetic Algorithm and Response Surface Method.

Nanomaterials (Basel, Switzerland)·2020
See all related articles

Related Experiment Video

Updated: Nov 7, 2025

MPI CyberMotion Simulator: Implementation of a Novel Motion Simulator to Investigate Multisensory Path Integration in Three Dimensions
09:46

MPI CyberMotion Simulator: Implementation of a Novel Motion Simulator to Investigate Multisensory Path Integration in Three Dimensions

Published on: May 10, 2012

12.8K

Performance evaluation and simulation of cubic observers.

Mohammad Mahdi Share Pasand1, Ali Akbar Ahmadi2

  • 1Department of Electrical Engineering, Faculty of Technology and Engineering, Standard Research Institute, Alborz, PO Box 31585-163, Iran.

ISA Transactions
|May 4, 2021
PubMed
Summary

Cubic observers offer improved state estimation for linear systems, showing smaller errors than linear observers. They can also match linear observer performance despite disturbances and delays.

Keywords:
Bounded disturbanceCubic observerLyapunov stabilityState estimation

More Related Videos

Controlled Rotation of Human Observers in a Virtual Reality Environment
09:11

Controlled Rotation of Human Observers in a Virtual Reality Environment

Published on: April 21, 2022

2.8K
Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis
08:08

Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis

Published on: May 8, 2014

17.0K

Related Experiment Videos

Last Updated: Nov 7, 2025

MPI CyberMotion Simulator: Implementation of a Novel Motion Simulator to Investigate Multisensory Path Integration in Three Dimensions
09:46

MPI CyberMotion Simulator: Implementation of a Novel Motion Simulator to Investigate Multisensory Path Integration in Three Dimensions

Published on: May 10, 2012

12.8K
Controlled Rotation of Human Observers in a Virtual Reality Environment
09:11

Controlled Rotation of Human Observers in a Virtual Reality Environment

Published on: April 21, 2022

2.8K
Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis
08:08

Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis

Published on: May 8, 2014

17.0K

Area of Science:

  • Control Systems Engineering
  • Nonlinear Dynamics
  • State Estimation Theory

Background:

  • Linear systems are fundamental in control theory, but their state estimation often faces challenges with noise and uncertainties.
  • Traditional linear observers, while widely used, can exhibit limitations in performance under complex dynamic conditions.
  • Advanced observer designs are crucial for enhancing the accuracy and robustness of state estimation in dynamic systems.

Purpose of the Study:

  • To evaluate the performance of cubic observers for state estimation in linear systems.
  • To compare the estimation error norm of cubic observers against traditional linear observers.
  • To assess the adaptability of cubic observers in handling system disturbances and time delays.

Main Methods:

  • Development and theoretical analysis of cubic observer structures for linear systems.
  • Mathematical formulation of estimation error norms for performance comparison.
  • Simulation-based analysis comparing cubic observers with linear and nonlinear extended observers.

Main Results:

  • Cubic observers demonstrate a reduced estimation error norm compared to linear observers.
  • Cubic observers can be engineered to achieve performance comparable to linear observers even with disturbances and delays.
  • Simulation results validate the effectiveness of cubic observers against a nonlinear extended observer.

Conclusions:

  • Cubic observers represent a promising advancement in state estimation for linear systems, offering superior accuracy.
  • The design flexibility of cubic observers allows for robust performance in the presence of common real-world system challenges.
  • This study highlights the potential of cubic observers as a viable alternative to existing estimation techniques.