This Assessment Instrument is made to show your strengths and abilities in this subject.

Show all your work. Open book & notes. Do as much as you can.

 

 

1

Chevy has the idea that a controller that has Proportional Integral would be a good idea. She tells Rhena that the block diagram would look like this:

 

Engineer Rhena wants to determine the CLTF, the transfer function , for this closed-loop feedback control system.

The system transfer function is G(s) = [FOPDT]

The controller transfer function isGc(s) = Kc(1 +

 )

Find the closed loop transfer function (CLTF) for this system.

Engineer Rhena wants to find the steady-state response to a step change in the set-point for this closed loop system. Do that for her.

Also, find the characteristic equation (CE) for this system.

Finally, comment on the stability of the closed loop feedback system.

2

Customer says the system is FOPDT with K = 0.015 cm/%, t = 0.51 min and to = 0.13 min. Recommend a value of Kc. Describe the reasons for your recommendation in words the customer can understand.

 

 

3

Take the Laplace transform of this: 24 u(t) [20.5 e-1.5 t]

Use IVT and FVT

 

 

4

Some question about Bode Plot

 

 

5

Some question about Root Locus

 

6

The graph below is for a system on a closed-loop feedback controller. For all of the response graphs here, the Set Point is changed.

Address the questions on page 31 in The Amazing Smith and Corripio

Describe what you observe.

Describe what you can deduce about the controller tuning parameters.

Describe what is helpful about the control system as shown in the response.

Describe what is scary about the control system as shown in the response.

Make suggestions as to what you would change to improve the response.