Modelling, dynamics and control by Anthony Rossiter

Case studies on Modelling and Behaviours

This section is part of the chapter on the theme of linear models, for example:
A d3x/dt3 + B d2x/dt2 + C dx/dt + D x = K u
where x(t) is the state, u(t) the input and A, B, C, D, K are model parameters.

This section focuses on collating on a single page several case studies to demonstrate the relevance of the learning.

1. 1st order examples: A good test of understanding is to ask how these concepts and analogies might be extended and/or applied to each engineering discipline.
Mixing tank,   House temperature,   Mass-damper,   tank level,   pain relief,   thermal system,   electrical system,   heat exchanger,   dcservo,   savings and debt models.

2. 2nd order examples: It is noted that many examples are electro-mechanical and thus are relevant across all engineering disciplines.
Mass-spring-damper,   Diabetes,   dc servo,   car velocity,  , house temperature,   tank level,   aeroplane roll,   pulleys and gears,   electrical circuits,  

3. Collations, analogies and comparisons: An interesting coursework would be to form some collations of your own, relevant to your own studies.
Biology examples,   heat exchanger examples,   mixing examples.

4. Impact of feedback and under-damping: A lot of real-life examples lead to over-damped 2nd order models. However, the necessary introduction of feedback often makes these become under-damped.
Cruise control,   heat exchanger examples,   DC servo.

MATLAB RESOURCES

Use the main MATLAB page to see all resources. Topic relevant resources are referenced directly as used in the sections.
To use these files in MATLAB, save the files into your own folder and then open, for example from the command window write: "open filename" .
More precise instructions for function files are provided where required.