Frequency-domain analysis | Transfer functions | Types of functions

Transfer function

In engineering, a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that theoretically models the system's output for each possible input. They are widely used in electronics and control systems. In some simple cases, this function is a two-dimensional graph of an independent scalar input versus the dependent scalar output, called a transfer curve or characteristic curve. Transfer functions for components are used to design and analyze systems assembled from components, particularly using the block diagram technique, in electronics and control theory. The dimensions and units of the transfer function model the output response of the device for a range of possible inputs. For example, the transfer function of a two-port electronic circuit like an amplifier might be a two-dimensional graph of the scalar voltage at the output as a function of the scalar voltage applied to the input; the transfer function of an electromechanical actuator might be the mechanical displacement of the movable arm as a function of electrical current applied to the device; the transfer function of a photodetector might be the output voltage as a function of the luminous intensity of incident light of a given wavelength. The term "transfer function" is also used in the frequency domain analysis of systems using transform methods such as the Laplace transform; here it means the amplitude of the output as a function of the frequency of the input signal. For example, the transfer function of an electronic filter is the voltage amplitude at the output as a function of the frequency of a constant amplitude sine wave applied to the input. For optical imaging devices, the optical transfer function is the Fourier transform of the point spread function (hence a function of spatial frequency). (Wikipedia).

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Transfer Functions: Introduction and Implementation

In this video we introduce transfer functions and show how they can be derived from a set of linear, ordinary differential equations. We also examine how to use a transfer function to predict the output of system to a given input. Topics and time stamps: 0:38 – Example using an aircraft

From playlist Control Theory

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What are Transfer Functions? | Control Systems in Practice

This video introduces transfer functions - a compact way of representing the relationship between the input into a system and its output. It covers why transfer functions are so popular and what they are used for. Learn more: - MATLAB Tech Talk: 4 Ways to Implement a Transfer Function in

From playlist Control Systems in Practice

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Electrical Engineering: Ch 15: Frequency Response (1 of 56) What is a Transfer Function? 1 of 3

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a transfer function – the frequency dependent ratio (represented by a number between 0 and 1) of the output vs input voltage (or current). http://www.ilectureonline.com/donate https:/

From playlist ELECTRICAL ENGINEERING 15 FREQUENCY RESPONSE

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Frequency Response

Transfer Functions, Resonance, and Frequency Response. My Patreon page is at: https://www.patreon.com/EugeneK

From playlist Physics

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Electrical Engineering: Ch 15: Frequency Response (2 of 56) What is a Transfer Function? 2 of 3

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a transfer function using simple circuits and how it is associated with the transfer function which is frequency dependent. http://www.ilectureonline.com/donate https://www.patreon.co

From playlist ELECTRICAL ENGINEERING 15 FREQUENCY RESPONSE

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Working with Transfer Functions in MATLAB

Learn how to work with transfer functions using MATLAB® and Control System Toolbox™. This video demonstrates how you can create a transfer function to model a linear-time invariant system. Two transfer functions are combined to create a plant model. You can add a controller, and compute

From playlist Control System Design and Analysis

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Transfer function matrices

How to represent MIMO systems with transfer function matrices

From playlist Laplace

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Transfer functions and block diagrams

Basic nomenclature to understand transfer functions and block diagrams

From playlist Laplace

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(6.2.4) Laplace Transforms: Determining a Transfer Function

This video explains how to determine a transfer function of a differential question using Laplace transforms. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

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State Space to Transfer Function

In this video we show how to transform a linear state space representation of a dynamic system to an equivalent transfer function representation. We will derive the transformation of G(s) = C*(s*I-A)^-1*B+D. We will apply this to an example and show how to use Matlab’s various functions

From playlist Control Theory

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Don’t forget to subscribe! In this project series, you will learn to create a security token in Ethereum. This tutorial will cover all the details that are necessary to build an Ethereum based security token. You will be guided through all the steps of creating and deploying your securi

From playlist Create A Security Token In Ethereum

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Transfer Function to State Space

In this video we show how to transform a transfer function to an equivalent state space representation. We will derive various transformations such as controllable canonical form, modal canonical form, and controller canonical form. We will apply this to an example and show how to use Ma

From playlist Control Theory

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Control Bootcamp: Sensitivity and Complementary Sensitivity

Here we explore the sensitivity and complementary sensitivity functions, which are critical in understanding robustness and performance. Code available at: faculty.washington.edu/sbrunton/control_bootcamp_code.zip These lectures follow Chapters 1 & 3 from: Machine learning control, by

From playlist Control Bootcamp

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9. More Compensation

MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Electronic Feedback Systems (1985)

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Discrete control configurations Lecture 2019-04-09

This diversion from a larger lecture explains the different kinds of closed loop control configurations we encounter

From playlist Discrete

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Using ‘minreal’ in Matlab to Perform Transfer Function Pole/Zero Cancellation

In this tutorial we look at using the ‘minreal’ function in Matlab to perform pole/zero cancellation from transfer functions. Topics and time stamps: (0:10) – Theory of pole/zero cancellation (1:10) – Example 1: cancellation in polynomial format (5:35) – Example 2: cancellation in zpk for

From playlist Working with Matlab

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Electrical Engineering: Ch 15: Frequency Response (3 of 56) What is a Transfer Function: 3 of 3

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the 4 different types of transfer function: voltage gain, current gain, transfer impedance, and transfer admittance. http://www.ilectureonline.com/donate https://www.patreon.com/user?u=323607

From playlist ELECTRICAL ENGINEERING 15 FREQUENCY RESPONSE

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