Block Diagram Differential Equation. Block diagram representation for 317 equation 317a has the same structure as 36 after the laplace transformation is applied which directly produces the state space system equation identical to 39. A k k0 dk yt dtk m k0 dkxt dt k linear constant coefficient difference equation order.
Let w 1s 1p 1s and w 2s 1p 2s be the transfer functions for the two differential equations. This block diagram is shown in the following figure. V 4 k 2 v 4 k 3 y k 4 u k 3.
The feedback loop is then reduced to a single block.
Lets now do a simple example. Output of the block g s is g s r s. The block diagram in itself gives good information of the structure of the model eg. By using this analogy method to first derive the fundamental relationships in a system the equations then can be represented in block diagram form allowing secondary and nonlinear effects to be added.