Frequency-domain analysis | Signal processing | Control theory | Types of functions | Matrices
In control system theory, and various branches of engineering, a transfer function matrix, or just transfer matrix is a generalisation of the transfer functions of single-input single-output (SISO) systems to (MIMO) systems. The matrix relates the outputs of the system to its inputs. It is a particularly useful construction for linear time-invariant (LTI) systems because it can be expressed in terms of the s-plane. In some systems, especially ones consisting entirely of passive components, it can be ambiguous which variables are inputs and which are outputs. In electrical engineering, a common scheme is to gather all the voltage variables on one side and all the current variables on the other regardless of which are inputs or outputs. This results in all the elements of the transfer matrix being in units of impedance. The concept of impedance (and hence impedance matrices) has been borrowed into other energy domains by analogy, especially mechanics and acoustics. Many control systems span several different energy domains. This requires transfer matrices with elements in mixed units. This is needed both to describe transducers that make connections between domains and to describe the system as a whole. If the matrix is to properly model energy flows in the system, compatible variables must be chosen to allow this. (Wikipedia).
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
Transfer Functions, Resonance, and Frequency Response. My Patreon page is at: https://www.patreon.com/EugeneK
From playlist Physics
How to represent MIMO systems with transfer function matrices
From playlist Laplace
Now that we had a quick refresher on vectors, let's look at what constitutes a vector-valued function. In this lecture I use python code to illustrate these functions.
From playlist Life Science Math: Vectors
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
Introduction to Vector Valued Functions
This video introduces vector valued functions. http://mathispower4u.yolasite.com/
From playlist Vector Valued Function
In this very easy and short tutorial I explain the concept of the transpose of matrices, where we exchange rows for columns. The matrices have some properties that you should be aware of. These include how to the the transpose of the product of matrices and in the transpose of the invers
From playlist Introducing linear algebra
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
Introduction to Matrix Transformations
This video defines a matrix transformation, linear transformation and provides example on how to find images of a transformation.
From playlist Matrix (Linear) Transformations
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
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
Time-independent scattering theory (Pedagogical talk) – Lecture - 01 by Ali Mostafazadeh
DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics. The scope of the program on Non-H
From playlist Non-Hermitian Physics - PHHQP XVIII
Non-Hermitian Hamiltonians and Low-Energy Scattering in one Dimension by Ali Mostafazadeh
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
Lecture 4 (CEM) -- Transfer Matrix Method
This method introduces the simple 1D transfer matrix method. It starts with Maxwell's equations and steps the student up to the equation for the transfer matrix and how to calculate the global transfer matrix. Reasons are then explained for why the method is inherently unstable. Prerequ
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Basic Lectures on Bethe Ansatz (Pedagogical Lecture 03) by Fabio Franchini
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Matrix Equations and Model Reduction, Lecture 2
Description
From playlist Gene Golub SIAM Summer School Videos
Lecture: Convert A MIMO TF matrix to State space 2018-09-19
I show how to stack the matrices describing individual state space systems into larger matrices.
From playlist Lectures
Multivariable system representation 2019-04-24
There are two main ways of representing Multivariable systems - state space and transfer function matrices.
From playlist Multivariable
Matrices in MATLAB | Lecture 7 | Numerical Methods for Engineers
How to construct and operate with matrices in MATLAB. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_con
From playlist Numerical Methods for Engineers