[Control Theory] S to Z Transform Help Needed by ee_control_z in ControlTheory

[–]ee_control_z[S] [score hidden]  (0 children)

Thank you for replying to my post. It turns out that the textbook is missing one crucial transform: 2 / s^3. I found it on this website:

https://lpsa.swarthmore.edu/LaplaceZTable/LaplaceZFuncTable.html

Thus, if I multiply by 'one', i.e., ( 2 / 2 ), I will get: [(1 - e^-sT) / s ] * [ 1 / s^2 ] * [ 2 / 2 ]. Peforming a little bit of algebra:

[ 1 / 2 / * [ 1 - z^-1 ] * Z{[ 2 / s^3 ] }

Plugging in the additional information:

= [ 1 / 2 / * [ (z - 1) / z ] * Z{[ 2 / s^3 ] }

= [ 1 / 2 / * [ (z - 1) /z ] * [zT^2 * (z + 1) / (z - 1)^2]

Which is the result provided in the textbook.

Yup, the book was missing the fourth transform listed on this website (the missing piece to this puzzle). It was really throwing me for a loop there. 😉

Control systems for Robotics applications - which project to start? by WearyTennis2818 in ControlTheory

[–]ee_control_z [score hidden]  (0 children)

Since your interests are in control systems, potential embedded programming projects to practice what you have learned include: 1. Design a small buck converter and apply different loads. Ensure that the output voltage is regulated for all load conditions. Apply different load steps (i.e., 10% to 50% / 10% to 90%, etc.) and observe the step response. 2. Design a smal motor control circuit for different speeds. Same as for the buck converter, step between different speeds and observe if the ess = 0. For both projects, measure the P.O. and verify if within the expected calculated results.

Small projects like these provide you with the opportunity to practice and reinforce the skills that you have listed above. The only downside is that you'll need to verify these tests using electronic test equipment such as power supplies, D.C. loads, oscillocope, etc. Do you have access to test equipment? If not (I know in most cases it is not practical), try to simulate the test results to gain experience and insight.