DiscoverLinear System Response and Analysis - First Order Responses
Linear System Response and Analysis - First Order Responses
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Linear System Response and Analysis - First Order Responses

Author: The University of Sheffield

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Description

These videos look at the responses primarily of 1st and 2nd order systems. There is also some discussion of the use of Laplace tools for deriving system responses and, in support of this, some background work on skills needed to do inverse Laplace. The videos are reinforced with demonstrations of how MATLAB tools can be used to support response analysis.
10 Episodes
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First order responses 6 – using MATLAB

First order responses 6 – using MATLAB

2014-04-0821:19

An introduction to the behaviour of systems modelled with a 1st order ODE. Sixth video in series. Illustrates how the MATLAB tool might be used to produce solutions and sketches for 1st order models
First order responses 4 – sketching

First order responses 4 – sketching

2014-04-0823:33

An introduction to the behaviour of systems modelled with a 1st order ODE. Fourth video in series. Considers how to sketch responses response with zero initial condition and a step input.
First order responses 10 – tutorial on system design

First order responses 10 – tutorial on system design

2014-04-0819:43

An introduction to the behaviour of systems modelled with a 1st order ODE. Tenth video in series. This video is constructed like a tutorial, so viewers have questions to try before looking at example solutions. The focus is on going from response specifications such as desired settling times and gains to the selection of appropriate system parameters.
First order responses 9 – tutorial on response dependence on parameters

First order responses 9 – tutorial on response dependence on parameters

2014-04-0822:22

An introduction to the behaviour of systems modelled with a 1st order ODE. Ninth video in series. This video is constructed like a tutorial, so viewers have questions to try before looking at example solutions. These questions invite viewers to explore how changing individual parameters effects the system response characteristics.
First order responses 8 – tutorial on responses with Laplace

First order responses 8 – tutorial on responses with Laplace

2014-04-0821:53

An introduction to the behaviour of systems modelled with a 1st order ODE. Eighth video in series. This video is constructed like a tutorial, so viewers have questions to try before looking at example solutions. A number of simple questions asking students to solve for the response of 1st order systems using Laplace methods.
First order responses 3 – step input and non zero initial condition

First order responses 3 – step input and non zero initial condition

2014-04-0815:59

An introduction to the behaviour of systems modelled with a 1st order ODE. Third video in series. Considers response with non-zero initial condition and a step input.
First order responses 7 – tutorial on transfer functions

First order responses 7 – tutorial on transfer functions

2014-04-0811:21

An introduction to the behaviour of systems modelled with a 1st order ODE. Seventh video in series. This video is constructed like a tutorial, so viewers have questions to try before looking at example solutions. The focus here is on the development of transfer function models.
First order responses 5 – tutorial

First order responses 5 – tutorial

2014-04-0803:07

An introduction to the behaviour of systems modelled with a 1st order ODE. Fifth video in series. largely comprises tutorial questions for students to test themselves.
First order responses 2 – step input

First order responses 2 – step input

2014-04-0819:11

An introduction to the behaviour of systems modelled with a 1st order ODE. Second video in series. Considers response with zero initial condition and a step input.
First order responses 1 - No input

First order responses 1 - No input

2014-04-0813:22

An introduction to the behaviour of systems modelled with a 1st order ODE. Considers response with non-zero initial condition and no input.
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