An Introduction to Control Theory

See a syllabus for an introduction to control theory.
See some general information about the course, the instructors, and how the course will be run.
See the current homework assignments for the course.
To see the exercises from A Mathematical Introduction to Control Theory, click here.
Ms. Hadas Weinrib will be teaching all the recitation sections. Her email is hadasf2@walla.com. Please include the words "Introduction to Control" in the subject.
There will be four makeup classes this semester. (One will be used to make up the class I had to miss before Pesach, one will be used to make up the class that was canceled because of the strike, one will be used to make up the two hours that we missed in order to allow everyone to participate in the Yom HaShoah ceremony, and one will be used to makeup the class of 24 May which will be used for a quiz.) The classes will be held on 17 April, 24 April, 29 May, and 5 June. All four classes will be held from 8:00 to 10:00 in room 53 of building 1105.
There will be two quizzes. Both of the quizzes will be closely related to the homework assignments. The first quiz will take place on 1 May 2012 and will commence at 8:00. The second quiz will take place on 24 May 2012 (instead of the class that would normally be held at that time) and will commence at 11:00. Students who do not take a quiz will be given a grade of zero for the missed quiz. There will be a makeup quiz for students who missed a quiz for an approved reason. The quiz will be held at the end of the semester on a date and at a time that will be determined during the semester.

The first quiz will cover the material we studied in class and in the recitations until and including the class of 19 April. The quiz will cover homework assignments 1, 2, and 3. The quiz will take place on 1 May 2012 in room 2 of building 1102. The quiz should not take more than one to one and a half hours, but it will be possible to start the quiz at (approximately) 8:00 A.M. Anyone who arrives by 8:30 A.M. will allowed to take the quiz.

The second quiz will cover the material we studied in class and in the recitations until and including the class of 17 May. The quiz will cover homework assignments 4, 5, 6, and 7. The quiz should not take more than one to one and a half hours, but two hours will be given.
Five sixth of the homework grade (25% of the final grade) will be determined by the grades on the quizzes, and one sixth of the grade (5% of the final grade) will be determined by the grades on the homeworks.
To access many relevant MATLAB scripts, click here.
For an introductory article about control theory, click here. (This link should work at Bar Ilan. It will probably not work at home.)
For an extended treatment of systems with delays, please click here.
For more information about non-minimum phase systems, see pp. 57-60 of this lab manual.
An additional (more mathematical) reference for modern control theory is Notes for a Second Course on Linear Systems, C. A. Desoer, Van Nostrand, New York, 1970.
See a Simulink model for a simple PLL.
See four Simulink models that demonstrate state variable control and obervers.
See a Simulink model of a first order system to which an integrator has been added and to which pole placement has been applied to place the two poles of the system with the ingegrator at -10.
See a Simulink model of a first order system to which an integrator has been added and to which pole placement has been applied to place the two poles of the system with the ingegrator at -100. If you compare the signals that appear on 'scope 1 in this model and in the model of the previous paragraph, you see that in order to place the poles at -100 you are forced to allow much larger signals in the interior of the system.
See a Simulink model of a first order system to which an integrator has been added. Though we do not exactly make use of state feedback, it is clear that our design was inspired by state-feedback techniques. Here too the two poles of the final system are placed at -100. Note that this design reduces the size of the some of the signals that are interior to the system.
See a Simulink model of a system with an observer. The system and observer shown are the system and observer in the extra problem in assignment 13. It may take a bit of work to understand how everything is put together.
See a Simulink model of a simple non-linear oscillator.
To see a Simulink model of a comparator with a deadzone click here. To see a non-linear oscillator based on the comparator with deadzone, click here To download a .m file that calculates the amplitude of the oscillations given the value of the numerator of the linear part of the system, click here
See the first formula sheet for the control theory final.
See the second formula sheet for the control theory final.
See the first administration of the final examination (Moed Aleph) from Spring 2005.
See the first administration of the final examination (Moed Aleph) from Spring 2007.
See the original .docx version of the first administration of the final examination (Moed Aleph) from Spring 2009.
See the automatically generated (and slightly less well formatted) .doc version of the first administration of the final examination (Moed Aleph) from Spring 2009.
See the first quiz given in Spring 2011.
See the second quiz given in Spring 2011.