How to do this block diagram in simulink?

doi 10.5829/idosi.wasj.2013.21.1001

From this link paper, there is a block diagram (figure 8), how to do this in simulink?

[Walter Roberson]

It appears there is a copy of that paper at https://www.researchgate.net/publication/235984033_Evaluation_on_Tracking_Performance_of_PID_Gain_Scheduling_and_Classical_Cascade_PPI_Controller_on_XY_Table_Ballscrew_Drive_System

Answer 1

[Sam Chak]

Hi @Tahsin

If you are referring to this block diagram, there is a slight mistake in the architecture, as the Velocity Loop and the Position Loop cannot have the same output signal. An Integrator block is definitely missing in the Position Loop. I am unsure how this oversight occurred among the seven PID control experts (co-authors) as well as the editor and reviewers.

The plant's second-order transfer function is identified in Eq. (1), but you should not use the standard Transfer Function block. Instead, use the Second-Order Integrator block. To utilize this block, you will need to convert the Transfer Function into a Differential Equation (via Transfer Function to State-Space, which can then be interpreted as an ordinary differential equation).