## Example of a block diagram

To clarify the steps, a block diagram is constructed for the system (7.1), i.e.

1. The highest state derivatives is .
2. Integrating this state once, we obtain . Integration of yields . This is shown in the figure below. In this figure, is represented by ddx and by dx.

3. Substitution of , and and rewriting (7.1), yields an expression for :

 (7.3)

To transform (7.3) into a block diagram, we use two summation blocks:

This block is coupled to the blocks obtained in step 2:

4. With the use of gain blocks, we can compute and , such that a full block diagram is obtained:

Note, that we consider to be an output and to be an input.

Esteur 2010-03-22