Brian Gonzalez web site courses

Office Hours: Talk to me after class or email me in order to set up an appointment.

Textbook:

• K. Ogata, Ingeniería de Control Moderna, Pearson, México, D.F., 2010.
• Alan V. Oppenheim, Alan S. Willsky, S. Hamid, Signals and Systems, Second Edition, Prentice Hall, USA, 1999.
• B.P. Lathi, Signal processing and linear systems, Oxford University Press, USA, 2000.

Course Objectives: The course involves understanding the basic methods and theory related to linear systems from the dynamical and frequential viewpoint, and state-space framework in order to analyze and understand the mathematical model of a (linear) process, then gaining experience in solving practical engineering linear system problems.
All homeworks developped in Fall 2015 by students are here:
Student 1
Student 2
Student 3
Student 4

Downloadable material:

• Lecture 1 and notes for week 5. Homework 1
• Lecture 2 and notes for week 5. Homework 2
• Lecture 3 and notes for week 6. Homework 3
• Homework 4 for week 7.
• Lecture 4 and notes for week 8.
• Homework 5 for week 8.
• Lecture 5 for week 9. Also, some useful formulae
• Homework 6 y 7 for week 9, and TD1 for same week.
• Lecture 6 for week 10. Homework 8 and TD2 for same week.
• Lecture 7 for week 11 and TD3. Homework 9 for week 12.
• Lecture 8 and lecture 9 for week 12, homework 10 and 11.
• Lecture 10 and Paper for the essay due by week 13.
• Lecture 11 and Lecture 12, homework 12&13 for week 14.
• Tutorial of Intro2Matlab, Matlab, Simulink1 and Simulink2.
• Tutorials in video: Intro2Matlab, Matlab, Simulink1 and Simulink2.
• Homework 14,15&16 for week 18
• Homework 17&18 for week 19
• Lecture 13 and Lab1 for week 19
• Homework 19 and Homework 20,21,22 for week 20
• Lab3 for week 21. Homework 22 for week 22
• Lecture 14 and Lecture 15 for week 47. Homework 23 for week 23
• Program Asymp to be used in Matlab for asymptotic Bode plots

Topical Outline:

1. Introduction to linear systems, topics and properties
2. Differential equations and state space representation
3. The transfer function, block diagrams and rules
4. Analysis of temporal response, characteristics
5. Modeling of systems, simulation using Matlab
6. Stability criteria, root locus
7. Frequency response: Introduction and concepts
8. Bode diagrams, polar diagrams
9. Stability criteria based on frequency response
10. Design of basic controllers and compensators

Grading (evaluation critera):

• Homework and special works: 35%
• Lab work/reports, performance works, research and presentations: 30%
• Examination: 35%

Prerequisites:
Complex variable. It is supposed that the student possesses knowlegde of linear algebra, differential equations and electric circuits basis with a level of mathematical sophistication programming experience. Matlab is strongly encouraged to be used along the course.

Scheduling: This course is offered in spring period, further organization with all students will set up the final scheduling.

Planning: Download here

course e-mail: sislin@brianmgc.i8.com