ECE6550 Course Syllabus

ECE6550

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