Transfer function to block diagram

[avadrus]

Homework Statement

Draw the block diagram for each of these equations

Relevant Equations

See Thread

I am given the following two equations:

and

where E_1 is an output with corresponding input e and theta_o is an output with corresponding input E_3.
The solutions that I was given are as follows:

Unfortunately, I do not understand at all how to work out the block diagrams from
the equations that are given. Why are some of the values such as the ones scaled with K3 and K4 incorporated with a negative sign when they have a positive one in the original equation? How do I incorporate terms that are in the denominator in the transfer function in the block diagram and how do I add the integrators? I would be very grateful if anybody could help me with these kinds of tasks or maybe provide a link to a website that has additional information on this.

Thanks in advance!

 

[nilesh_pat]

I would suggest looking at the following resources for help with block diagrams and transfer functions: 1. Khan Academy - https://www.khanacademy.org/math/ap...ules/v/block-diagrams-and-transfer-functions2. MIT OpenCourseware - https://ocw.mit.edu/courses/electri...-systems-spring-2005/lecture-notes/lec_12.pdf 3. Control Tutorials for Matlab and Simulink - https://ctms.engin.umich.edu/CTMS/index.php?example=Introduction&section=SystemModelingAdditionally, it is important to look at the equations that you have been given and understand what each term means and how it is related to the other terms in the equation. For example, the K3 and K4 terms are scaling factors and typically appear with a negative sign because they are part of the denominator in the transfer function. The integrators are used to integrate the input signals and can be represented in the block diagram as an integrator block.Hope this helps!