ME 451-Control Systems, Fall 2014

Announcements

- The final exam will be on Wednesday December 10th, 10:00-12:00 noon in the same class room.
- You are allowed to bring another 1-paged hand-written formula sheet. So in total, you can bring 3 pages including previous ones from Exams 1 and 2.
- The scope is comprehensive and up to frequency response and Bode diagram.
- The note from the final class.
- If you have any of scores in Exams 1 and 2 is lower than 80-1.5*18=80-36=53 (lower 1.5*sigma), please redo the corresponding exam(s), and submit your work before the final exam.
- I will
give small credit back to you for your extra-effort.

- Return the copy of your exam(s) to prove your score is lower than 53.
- Solution to Exam 2 is here.
- There will be no class on Wed Nov 26th. Happy Thanksgiving!
- A simple solution to determine the pole and zero of the lead compensator is in this note.
- The note on the review session for Exam 2 is uploaded.
- Today's note on steady state error due to step reference and disturbance inputs is uploaded
- The PI controller note is uploaded.
- Exam 2 will be on Nov. 21st Friday in class.
- One more page (with hand-written formulas) can be added to your previous one-page formula sheet.
- The exam scope covers materials from Lecture 12 to Lecture 20 (HW9).
- Note that previous topics, e.g., stability, block diagrams show up in current topics for Exam 2.
- HW8 is posted now.
- HW7 is posted.
- HW6 is posted.
- Exam 1 will be on Friday October 24 in class.
- The exam scope covers up to materials up to HW5 and Lecture 11.
- You can bring one-paged, hand-written cheat sheet (US Letter size).
- Closed-book.
- There will be no class on Wednesday October 22 (Travel for DSCC 2014: http://www.asmeconferences.org/dscc2014/).
- If the question ask for "derivation" you need to show the intermediate steps to derive the solution in your exam.

- If you have 2 points off from Problem 5 of the quiz due to missing derivation in your solution, you will get some points back. Please send me and Sina (jahangi5@msu.edu) an email that contains a clear picture of the first page of the graded quiz (to show your graded problem 5).

- HW1 and Quiz solutions are uploaded.
- HW2 is due on Friday 9/19.
- HW1 is due on Friday 9/12.
- Update!: The math quiz will be on Sept. 12 next Friday in class.

- Sample exams:
- See systems and controls in http://www.egr.msu.edu/me/qualifying-exams
- See midterm exams from Prof. Radcliffe's website: http://www.egr.msu.edu/classes/me451/radcliff/Handouts/PastExams/Midterm1/

- A math quiz is coming soon.
- Prepare for the math quiz with old math quizzes in http://www.egr.msu.edu/classes/me451/radcliff/Handouts/index.html

Instructor: Jongeun Choi, Associate Professor

Engineering Building

428 S. Shaw Lane, Room 2459

East Lansing, MI 48824, Phone: (517)-432-3164

Email:Website: http://www.egr.msu.edu/~jchoi/

Lecturer: M W F: 11:30AM - 12:20PM , 008 Urban Plan & Land Arch Bldg

Office hours: M W: 10 - 11AM 2459 Engineering Building

Laboratory Instructor: Jongeun Choi, Associate Professor

Lab website: http://www.egr.msu.edu/classes/me451/me451_labs/Fall_2014/index.html

Grader for Homework:

Sina Jahangiri

Email: jahangi5@msu.edu

Other TAs are available during laboratory sessions for students to consult with homework.

Course Description

Mathematical modeling of dynamic systems. Standard feedback control formulation. Transient and sinusoidal steady-state analysis. Time and frequency domain controller synthesis.

Required
Textbook

*Modern Control Systems, Richard C.
Dorf and Robert H. Bishop*, Prentice Hall, 12th edition, 2010,
ISBN-10: 0-13-602458-0

References:

References:

- Feedback Control Systems,
- Modern Control Engineering, Katsuhiko Ogata, Prentice Hall.
- Control Systems Engineering, Norman S. Nise, fifth edition, John
Wiley and Sons, Inc,

Handouts and Notes (will be updated see the date stamp)

- Lecture 0-[8-26-2013],
Course information, complex numbers and logarithm.

- Lecture 1-[8-26-2013], Introduction to feedack control.
- Lecture 2-[8-26-2013], Laplace transform-concise version.
- Lecture 2 [8-26-2013], Laplace transform-extended version.
- Lecture 3-[8-26-2013], ODE solution using Laplace transform
- Here is the complete notes-[8-26-2013].
- Lecture 4-[8-26-2013], Transfer function, modeling of electrical systems.
- Lecture 4, transfer function-[8-26-13] .
- Lecture 4, electric
circuit-[8-26-13].

- Lecture 5 [2-1-11], Modeling of mechanical systems.
- Lecture 5 [2-1-11]-complete.
- Lecture 6 [2-7-11], Block diagrams.
- Lecture 7 [2-9-11],
Linearization

- Additional linearization note from Dr. Radcliffe.
- Lecture 8, Modeling of DC motors [2-11-11]
- Lecture 8 complete notes [2-11-11]
- Lecture 9, Stability[2-16-11]
- Lecture 10 [2-21-11], Routh Hurwitz criterion.
- Lecture 10, complete notes [2-21-11]
- Lecture 11 [2-25-11], Routh Hurwitz criterion: Control examples.
- Lecture 11 complete notes [2-25-11]
- Lecture 12 [3-11-11], Time domain specifications.
- Lecture 13 [3-14-11], Steady state error.
- Extra note about PID controller.
- Extra note about PI controller.
- Lecture 14 [2-21-11], Time respnose of 1st order systems.
- Lecture 15 [3-30-11], Time response of 2nd oder systems.
- Lecture 16 [4-1-11], Root locus,
- Lecture 17, Root locus: examples.
- Lecture 18, Root locus: sketch of proofs.
- Lecture 19, Root locus, multiple parameter design.
- Lecture 20, Root locus, lead compensator design.
- Lecture 21, Root locus, Lag compensator, Lead-lag compensator design.
- Lecture 22, Frequency response
- Lecture 23, Bode plots.
- Lecture 24, Bode plots.
- Relative stability.
- Frequency response controller desgin (written by Dr. Radcliffe)
- matlab file

Exams and HW Solutions

- Quiz solution
- HW1 solution.
- HW2 solution.
- HW3 solution.
- HW4 solution.
- HW5 solution.
- Exam 1 solution.
- HW6 solution.
- HW7 solution.
- HW8 solution.
- Exam 2 solution.

Homework

- HW0: Old math quiz, spring 2011 (will not be collected).
- HW1: (Due date: 9/12 Friday).
- HW2: (Due date: 9/19 Friday).
- HW3: (Due data: 9/26 Friday).
- HW4: (Due data: 10/3 Friday).
- HW5: (Due on Monday 10/12).
- HW6: (Due on Wednesday 10/29).
- HW7: (Due on Wednesday 11/5).
- HW8: (Due on Wednesday 11/12).
- HW9: Re-do the lead compensator design (will not be collected).

Grading

Note

Math Quiz+Homework
10%

Exam 1 20%

Exam 2 20%

Final Exam (comprehensive) 25%

Laboratory work 25%

Total 100%

Exam 1 20%

Exam 2 20%

Final Exam (comprehensive) 25%

Laboratory work 25%

Total 100%

Note

- Homework will be done in one week from the day it is assigned.
- laboratory attendance and a minimum of 70% lab grade in the laboratory reports will be required to pass the course.