Control Systems Homework Sheets

  • Extra credits available for Problem 2-(c) of Exam 1
    • Redo Problem 2-(c).
    • Clearly state what you did wrong or did not understand before and what you understand now.
      • For example: I did not know how to compute the pole of the closed loop system. etc....
    • Staple it to your exam and submit that to me.
    • You will get back some credits proportional to what you lost on this problem.
  • HW4 has been posted.
  • Exam 1 solution was reviewed in the class.
  • Some notes from the review is here.
  • HW3 solution has been uploaded.



Instructor: Jongeun Choi, Assisntant Professor

2459 Engineering Building
East Lansing, MI 48824, Phone: (517)-432-3164 

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

Lecturer:M W F: 12:40pm-1:30pm, 155 Communication Arts Bldg 

Office hours: M W F 10:10-11:00am, 2459 Engineering Building,   Extra hours can be arranged 



Laboratory Instructor: Ranjan Mukherjee, Professor

Email: mukherji at egr dot msu.edu
2445 Engineering Building
East Lansing, MI 48824, Phone: (517)-355-5198

Lab website: http://www.egr.msu.edu/classes/me451/jchoi/2011/lab


TA for Homework: Andrey Maslennikov

Email: amas at msu dot edu

TA will grade homework and other TAs are available during laboratory sessions to help students 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:
  • Feedback Control Systems,C. L. Phillips and R. D. Harbor, Prentice Hall, 4th edition, 2000, ISBN 0-13-949090-6
  • Modern Control Engineering, Katsuhiko Ogata, Prentice Hall.
  • Control Systems Engineering, Norman S. Nise, fifth edition, John Wiley and Sons, Inc,



Handouts and Notes  
  • Lecture 0-[1-10-2011], Course information, complex numbers and logarithm.
  • Lecture 1-[1-12-2011], Introduction to feedack control.
  • Lecture 2-[1-14-2011], Laplace transform.
  • Lecture 2 (old version) Laplace transform  
  • Lecture 3-[1-21-2011],  ODE solution using Laplace transform
  • Lecture 4-[1-24-11], Transfer function, modeling of electrical systems.
  • Lecture 4, transfer function-[1-24-11] .
  • Lecture 4, electric circuit-[1-24-11].
  • 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.
  • 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





Old Exams and HW Solutions


 



Homework



Grading

Homework                                     10%
Math Quiz                                        5%
Exam 1                                           17.5%
Exam 2                                           17.5%
Final Exam(comprehensive)             25%
Laboratory work                             25%
Total                                             100%





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





ME 451-Control Systems, Spring 2010




Announcements
  • Midterm #2 will be given on Friday April 9.
  • You can bring hand written cheat sheets (2 pages) for Exam 2. Xerox copied cheat sheets are NOT allowed.
  • Midterm #2 will cover the material in Chapter 4: System Responses, Chapter 5: Control System Characteristics, Chapter 6: Stability Analysis, and Chapter 7: Root Locus Analysis and Design.
  • A simulink file to generate a step response.
  • Midterm exam 1 will be held on Friday Feb 19th.
    • It will cover up to the hw due by Wed Feb 17th.
    • You can bring a 1 page (one sideded)  cheat sheet for  Exam 1.
    • Laplace Tranformation Table will be given if it is necessary.
  • Quiz Statistics: Mean=24.67857 and Std=5.2638.
  • HW2 is posted.
  • There will be a math quiz on Friday 1/22.
  • HW1 and Old math quiz examples are posted.
  • Syllabus



Instructor: Jongeun Choi, Assisntant Professor

2459 Engineering Building
East Lansing, MI 48824, Phone: (517)-432-3164 

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

Lecturer:M W F: 12:40pm-1:30pm, 2245 Engineering Building

Office hours: M W F 10:10-11:00pm, 2459 Engineering Building,   Extra hours can be arranged 



Laboratory Instructor:Professor C. J. Radcliffe 

2445 Engineering Building
East Lansing, MI 48824, Phone: (517)-355-5198
Website: http://www.egr.msu.edu/classes/me451/radcliff/lab

TA for Homework:Jeffrey Striker Email: strick69 at egr.msu.edu

TA will grade homework and other TAs are available during laboratory sessions to help students 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
Feedback Control Systems, C. L. Phillips and R. D. Harbor, Prentice Hall, 4th edition, 2000, ISBN 0-13-949090-6

References:
  • Modern Control Systems, Richard C. Dorf and Robert H. Bishop, 11th edition, 2008 Pearson Education Inc.
  • Modern Control Engineering, Katsuhiko Ogata, Prentice Hall.
  • Control Systems Engineering, Norman S. Nise, fifth edition, John Wiley and Sons, Inc,



Handouts and Notes  
  • [1-11-10] Lecture 0, Course information, complex numbers and logarithm.
  • [1-13-10] Lecture 1, Introduction to feedack control.
  • [1-15-10] Lecture 2 Laplace transform.
  • Lecture 2 (old version) Laplace transform  
  • Lecture 3,  ODE solution using Laplace transform
  • [1-20-10]Lecture 4, Transfer function, modeling of electrical systems.
  • Lecture 4, electric circuit
  • [1-25-10]Lecture 6, Block diagrams.
  • Lecture 5, Modeling of mechanical systems.
  • [2-1-10] Lecture 5
  • quarter car model 1
  • Lecture 7, Linearization
  • [2-3-10] Lecture 7
  • Additional linearization note from Dr. Radcliffe. 
  • Lecture 8, Modeling of DC motors
  • [2-5-10] Lecture 8 complete notes
  • [2-8-10 ]Lecture 12, Time domain specifications.
  • [2-10-10]]Lecture 13, Steady state error.
  • [2-12-10]Lecture 14, Time respnose of 1st order systems.
  • [2-15-10]Lecture 15, Time response of 2nd oder systems.
  • [2-24-10]Lecture 9, Stability
  • Lecture 10, Routh Hurwitz criterion.
  • [2-26-10]Lecture 10, complete notes
  • Lecture 11, Routh Hurwitz criterion: Control examples.
  • [3-1-10]Lecture 11 complete notes
  • [3-3-10]Lecture 16, Root locus,
  • [3-15-10]Lecture 17, Root locus: examples.
  • [3-17-10]]Lecture 18, Root locus: sketch of proofs.
  • [3-19-10]Lecture 19, Root locus, multiple parameter design.
  • [3-21-10]Lecture 20, Root locus, lead compensator design.
  • [3-23-10]]Lecture 21, Root locus, Lag compensator, Lead-lag compensator design.
  • [3-26-10]Lecture 22, Frequency response
  • [4-14-10]]Lecture 23, Bode plots.
  • [4-16-10]]Lecture 24, Bode plots.
  • [4-19-10] Relative stability.
  • [4-21-23-10]]Frequency response controller desgin (written by Dr. Radcliffe)
  • [4-23-10]matlab file





Old Exams


 



Homework



Grading

Homework                                     10%
Math Quiz                                        5%
Exam 1                                           17.5%
Exam 2                                           17.5%
Final Exam(comprehensive)             25%
Laboratory work                             25%
Total                                             100%





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




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