Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

BIBO stability of continuous and discrete -time systems

BIBO stability of continuous and discrete -time systems

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....

Discrete-time Fourier transform

Discrete-time Fourier transform

The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...

Basic Discrete Time Signals

Basic Discrete Time Signals

The unit step sequence is defined as 1 for zero and positive values of the integer n. This sequence can be graphically displayed using a set of eight sample points, showing a step function starting from n=0 and remaining constant thereafter.
The unit impulse or sample sequence is mathematically expressed as zero for all n values except at n=0, where it is one. The unit impulse sequence, denoted by δ(n), is the first difference of the unit step sequence, while the unit step sequence u(n) is the...

Discrete-Time Fourier Series

Discrete-Time Fourier Series

The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...

The Integrated Rate Law: The Dependence of Concentration on Time

The Integrated Rate Law: The Dependence of Concentration on Time

While the differential rate law relates the rate and concentrations of reactants, a second form of rate law called the integrated rate law relates concentrations of reactants and time. Integrated rate laws can be used to determine the amount of reactant or product present after a period of time or to estimate the time required for a reaction to proceed to a certain extent. For example, an integrated rate law helps determine the length of time a radioactive material must be stored for its...

Discrete Fourier Transform

Discrete Fourier Transform

The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...

You might also read

Related Articles

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

Sort by

Same author

Enhanced trajectory tracking and robustness in magnetic levitation via takagi-sugeno fuzzy control: experimental approach.

Scientific reports·2026

Same author

Data-driven gait analysis for diagnosis and severity rating of Parkinson's disease.

Medical engineering & physics·2021

Same author

Multi-loop nonlinear control design for performance improvement of LTI systems.

ISA transactions·2017

See all related articles

Search research articles

Related Experiment Video

Updated: Feb 6, 2026

Fabrication and Design of Wood-Based High-Performance Composites

Fabrication and Design of Wood-Based High-Performance Composites

Published on: November 9, 2019

Discrete-time setpoint-triggered reset integrator design with guaranteed performance and stability.

Raaja Ganapathy Subramanian¹, Vinodh Kumar Elumalai²

¹Eindhoven University of Technology, 5612, AZ Eindhoven, the Netherlands.

ISA Transactions

|August 11, 2018

Summary

This study introduces a novel reset integrator control strategy to overcome limitations in linear controllers. The new method improves disturbance rejection and trajectory tracking for enhanced system performance.

Keywords:

Hybrid control Reset control Servo performance Stability

More Related Videos

Design and Optimization Strategies of a High-Performance Vented Box

Design and Optimization Strategies of a High-Performance Vented Box

Published on: June 9, 2023

Brain State-dependent Brain Stimulation with Real-time Electroencephalography-Triggered Transcranial Magnetic Stimulation

Brain State-dependent Brain Stimulation with Real-time Electroencephalography-Triggered Transcranial Magnetic Stimulation

Published on: August 20, 2019

Related Experiment Videos

Last Updated: Feb 6, 2026

Fabrication and Design of Wood-Based High-Performance Composites

Fabrication and Design of Wood-Based High-Performance Composites

Published on: November 9, 2019

Design and Optimization Strategies of a High-Performance Vented Box

Design and Optimization Strategies of a High-Performance Vented Box

Published on: June 9, 2023

Brain State-dependent Brain Stimulation with Real-time Electroencephalography-Triggered Transcranial Magnetic Stimulation

Brain State-dependent Brain Stimulation with Real-time Electroencephalography-Triggered Transcranial Magnetic Stimulation

Published on: August 20, 2019

Area of Science:

Control Systems Engineering
Automation and Robotics

Background:

Linear controllers face fundamental trade-offs between steady-state error, phase delay, overshoot, and sensitivity to disturbances.
Bode's gain-phase relationship highlights inherent limitations in linear time-invariant systems regarding frequency and time-domain performance.

Purpose of the Study:

To develop a novel control strategy that overcomes the inherent limitations of linear controllers.
To improve closed-loop system performance in the presence of time-varying disturbances and setpoint profiles.

Main Methods:

A setpoint-triggered reset integrator strategy was proposed, incorporating a nominal linear controller and a variable-gain reset integrator.
Global asymptotic stability was proven using the positive-real lemma and LaSalle's invariance principle.
Experimental validation was performed on a benchmark rotary servo system using measured frequency response functions.

Main Results:

The proposed controller demonstrated improved low-frequency disturbance rejection compared to linear controllers.
Enhanced high-frequency trajectory tracking performance was achieved.
Experimental results validated the controller's efficacy and stability.

Conclusions:

The setpoint-triggered reset integrator strategy effectively addresses fundamental limitations of linear controllers.
This novel approach offers superior performance in both disturbance rejection and trajectory tracking for dynamic systems.