Using Block Diagrams, you can describe a dynamic system and derive systems of equations
Zero State Response
Symbols:
Simple Blocks:
Basically given a transfer function or an equation of motion, we want to draw the flow from the input to the output using these blocks and symbols.
Some weird behaviour to note, is that the input of a block does not necessarily have to agree with the output in terms of what exactly is being passed into the block and what is produced. Only the operation the block performs from the input to the output must agree.
For example, each output line will be X(s) where a series of integrators feeds into that (1/s)→(1/s) where you can get x(t)’ and x(t)” from the outcome of these blocks if you need then, and then use integrators or multipliers to add on constants and such.
Integrators
When creating block diagrams, separate out the integrators from regular division constants in separate blocks.