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Effects of feedback

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...

Types of Responses of Series RLC Circuits

Types of Responses of Series RLC Circuits

A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Sound Waves: Resonance

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...

Types of Damping

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...

Second Order systems II

Second Order systems II

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.

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Related Experiment Video

Updated: Jul 7, 2025

Measurements of CO2 Fluxes at Non-Ideal Eddy Covariance Sites

Measurements of CO2 Fluxes at Non-Ideal Eddy Covariance Sites

Published on: June 24, 2019

Exponential feedback effects in a parametric resonance climate model.

Maria Teresa Caccamo^1,2, Salvatore Magazù^3,4

¹Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università di Messina, Viale Ferdinando Stagno D'Alcontres n°31, S. Agata, 98166, Messina, Italy.

Scientific Reports

|December 27, 2023

Summary

This summary is machine-generated.

Milankovitch cycles alone do not explain glacial-interglacial temperature shifts. Exponential feedback mechanisms, amplified by solar system parameter variations, are key drivers of Earth's climate system energization.

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Published on: October 28, 2022

Area of Science:

Paleoclimatology
Climate Dynamics
Astrophysical Influences on Climate

Background:

Earth's glacial-interglacial cycles exhibit temperature drops (6-10°C) unexplained by Milankovitch cycles alone.
Milankovitch cycles, driven by Earth's orbital variations, only account for minor temperature fluctuations (0.2-0.3°C).
Positive feedback mechanisms are necessary to explain the significant temperature variations observed over the last 5.5 million years.

Purpose of the Study:

To investigate the discrepancy between Milankovitch cycle influence and observed glacial-interglacial temperature changes.
To analyze the Vostok temperature record using Wavelet-Fourier analysis.
To explore exponential feedback effects within a climate parametric resonance model.

Main Methods:

Comparative Wavelet-Fourier analysis of the Vostok temperature record.
Modeling exponential feedback effects using a climate parametric resonance model.
Analysis of temperature variations across different sampling steps.

Main Results:

Wavelet-Fourier analysis revealed patterns not solely attributable to Milankovitch cycles.
The climate parametric resonance model demonstrated exponential amplification of temperature variations.
Findings support the hypothesis that internal solar system parameter variations energize the climate system.

Conclusions:

Exponential feedback loops are crucial for amplifying temperature changes between glacial and interglacial periods.
Periodic variations in internal solar system parameters likely drive climate system energization.
A series of connected resonances exponentially amplifies climate system energy, explaining observed temperature shifts.