FinalExamFall2017.docx

Final Exam

ELEG460 Controls (Fall, 2017)

9:30AM-10:45AM, 12/11, 2017

This is an individual exam and make a WORD file to include:

(1) Your steps to calculate the parameters’ values (2) Matlab code (3) Figures

Save your file as LastNameFirstName.doc and email me at [email protected] by 10:45AM.

Only one email with one WORD file will be graded.

F will be given for cheating.

Problem 1

Consider the control system shown in the figure. Design a phase lag compensator using bode diagram method to make the phase margin

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(1) (20 points) Draw the bode diagram of the uncompensated system and show the phase margin.

(2)

(20 points) Design a phase lag compensator using bode diagram

You need steps to determine the values of the new cross-over frequency, z, p, and k

(3) (10 points) Draw the Bode diagram of the compensator

(4) (10 points) Draw the Bode diagram of the compensated system and show the phase margin.

(5) (5 points) Draw the Bode diagram of the closed loop system

(6) (5 points) Calculate the poles of the closed loop system

(7) (10 points) Show the response and performance to the step input and indicate the settling time.

Problem 2

(20 points) For the close loop system

Determine the controllability and observability of the system.

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