Modelling, dynamics and control by Anthony Rossiter

Section on Modelling Principles

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 principles.
1. How do I model core engineering components?
2. Are there analogies between different components?
3. Are there analogies between similar arrangements of different components?
The sections on 1st and 2nd order modelling will develop the principles and analogies futher to illustrate how we create models of dynamic behaviour.

1. Concepts and components: Approaches and concepts in first principles modelling. What are the common physical components and how are these modelled?
PDF notes.

2. Systems of springs: How do we model a system comprising a number of resistors linked together? How would this extend to dampers?
i. Springs in parallel pdf file.
ii. Springs in series pdf file.
iii. Springs in parallel video.
iv. Springs in series video.

3. Systems of resistors: How do we model a system comprising a number of springs linked together? How would this extend to capacitors?
i. Resistors in series pdf file.
ii. Resistors in parallel pdf file..
iii. Resistors in series video.
iv. Resistors in parallel video.

4. Systems of pipes: Modelling a system comprising a number of pipes linked together? Extensions to systems of heat conductors?
i. Pipes in series and parallel.
ii. Notes on heat conductors.
iii. Pipes in series video
iv. Heat conductors in series.

5. Analogous arrangements: Simple analogies between arrangements across different disciplines?
i. Analogies discussion and summary.
ii. Analogies in brief.
iii. Pipes and conductors in parallel video.
iv. Analogies summary video.

6. Linearity and non-linear systems: A concise introduction to superposition, linearity and what to do with non-linear models.Notes pending.
i. Talk through video 1 is on youtube.
ii. Talk through video 2 is on youtube


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.