Updates on the campus response to coronavirus (COVID-19)

## ECE Course Syllabus

### ECE6550 Course Syllabus

#### Linear Systems and Controls (3-0-3)

Technical Interest
Group
Systems and Controls

Prerequisites
None

Corequisites
None

Catalog Description
Introduction to linear system theory and feedback control. Topics include state space representation, controllability and observability, linear feedback control.

Textbook(s)
J.P. Hespanha, Linear Systems Theory (2nd edition), Princeton University Press, 2017. ISBN 9780691179575(optional)

Strategic
Performance
Indicators (SPIs)
SPIs are a subset of the abilities a student will be able to demonstrate upon successfully completing the course.

```Outcome 1 (Students will demonstrate expertise in a subfield of study chosen from the fields of electrical engineering or computer engineering):
1.	Solve linear, time-invariant differential equations.
2.	Model physical systems by the state-space approach.
3.	Analyze reachability, controllability and observability of linear systems.

Outcome 2 (Students will demonstrate the ability to identify and formulate advanced problems and apply knowledge of mathematics and science to solve those problems):
1.	Design feedback controllers for closed-loop stability and eigenvalue assignment.
2.	Design Luenberger observers for output feedback.

Outcome 3 (Students will demonstrate the ability to utilize current knowledge, technology, or techniques within their chosen subfield):
N/A```

Topical Outline
```Review of Input/Output System Models (1 week)
Basic System Properties (linearity, time invariance, etc.)
Transfer Functions for Continuous and Discrete-Time Systems
Stability

State Space Representation (6 weeks)
State Equations (continuous and discrete-time)
Solutions to State Equations
System Equivalence
Canonical Forms (diagonal form, control canonical form, etc.)
Realizations
Stability
Linearization

Controllability and Observability (1 week)
Controllability and Observability Grammians
Rank Tests

Linear Feedback Control (6 weeks)
Pole Assignment by State Feedback
LQ Control
Luenberger Observers
Separation Principle (Estimated State Feedback)
Fixed-Order Compensators (System Augmentation)
Introduction to Robust Control

```

Georgia Institute of Technology
North Avenue, Atlanta, GA 30332
Phone: 404-894-2000