**Credits:** 3

**Lectures:** Tuesdays and Thursdays, 8:30 - 10:00 am, 1311 EECS Buulding

**Instructor:** Jerome P. Lynch, 2380 G.G. Brown,
(734) 615-5290, `jerlynch@umich.edu`.

**Office Hours:** Available upon Request

**Textbook:**

- None required

**Lecture Capture:**

**Optional References (on 4 hour reserve at AAE Library):**

*Introduction to Dynamic Systems: Theory, Models, and Applications*, David G. Luenberger, Wiley, 1979*Linear Dynamical Systems*, John L. Casti, Academic Press, 1987*Filtering and System Identification: A Least Squares Approach*, Michel Verhaegen and Vincent Verdult, Cambridge Press, 2007

**Course requirements:**

- Regular attendance
- Weekly homework assignments
- Midterm exams (2 exams)

**Grading:** Homework = 30%, Midterm #1 = 35% and Midterm #2 = 35%.
These weights are approximate; the instructor reserves the right to change them
later, as needed (changes will always be to the betterment of the student's final grade).

**Prerequisites:** Exposure to linear algebra and matrices. You should have seen
the following topics: matrices and vectors, (introductory) linear algebra and differential
equations. Some preliminary knowledge of MATLAB would be beneficial but not required.
Deeper appreciation for the course would be derived from having taken *CEE571: Linear System
Theory*.

**Catalog description:** This course is an introductory course in the fundamentals
of dynamics system theory applied to infrastructure systems including applications in
modeling, motoring and controlling structural, transportation, hydraulic, and electrical
grid systems. Linear systems are emphasized including continuous-time and discrete-time
systems but elementary concepts in nonlinear systems are also presented. Additional topics
include feedback control theory, system identification, and cyber-physical system architectures.

- [Sept 06-16] Welcome to CEE572: Dynamical Infrastructure Systems
- [Oct 21-16] Midterm #1: November 4, 3:30pm, 1303 EECS (closed book)
- [Nov 14-16] Office Hours Posted for Friday, 11/18, 2:30-4:00pm
- [Nov 14-16] Office Hours from 11/23: Wednesdays 10am-12pm

- Course Outline
- Class #1: Introduction to Dynamics
- Class #2: Introduction to System Types
- Class #3: Single Variable Differential Equations for Continuous Time Systems
- Class #4: Solving Single Variable Continuous Time Systems
- Class #5: Difference Equation Models for Discrete Time Systems
- Class #6: Realization of Dynamical Systems
- Class #7: Convolution and the Laplace Transform for Continuous Time Systems
- Class #8: Dynamic Response of SISO Systems by the Laplace Transform
- Class #9: Complex Plane and the Behavior of SISO Dynamic Systems
- Class #10: Block Diagrams for Dynamic Systems
- Class #11: Feedback Control of Dynamical Systems
- Class #12: Introduction to Multivariable Systems
- Class #13: Homogeneous Solution to MIMO Systems
- Class #14: Particular Solution to MIMO Systems
- Class #15: Introduction to Fourier Transform
- Class #16: Applications of the Fourier Transform
- Class #17: Correlation Analysis of Random Signals
- Class #18: Spectral Analysis of Random Signals
- Class #19: Introduction to Digital Systems
- Class #20: Z-transform and its Applications

- Homework #1: Calculus Review
- Homework #2: Contiunuous Time System Models
- Homework #3: Discrete Time System Models
- Homework #4: Analysis of Continuous Time SISO Systems
- Homework #5: Feedback Control of Segway in Continuous Time
- Homework #6: MIMO Dynamical Infrastructure Systems in Continuous Time
- Homework #7: Fourier Analysis of Dynamical Systems
- Homework #8: Digital Systems