ECE 6550: Linear Systems and Control
Fall 2025 (GT Metz)

Course Material Overview

The class is divided into one exams, two projects, and 6 Homework assignments. In addition, there will be one final project at the end of the semester (no final exam).

Topics
Exam
HW
On-Line
Lectures

Week1
Aug18
State-space Systems (Ch. 1)
Linearization (Ch. 2)
Dynamical Systems,
Linear Systems, &
Linear Algebra (Ch. 3)

Aug25: Ch. 2: 3,8,
Ch. 4: 3

2 State Stability
Linearization
Linear Elements
Circuit Anal
Laplace Intro
Laplace & 2nd ODE
Laplace & Freq Resp

Week2
Aug25
State Transition Matrix (Ch. 5)
Matrix Exponentials (Ch. 6)
Cayley-Hamilton Theorem (Ch. 6),

Sept1: Ch. 4: 4,5
Ch. 5: 1, 2

CT State Intro
State Dynamics

Week3
Sept1

Lyapunov functions,
Eigenvalue Tests &
Stability (Ch. 8,9)

Sept 8: Ch. 6: 1
Ch. 8: 4,6 Ch. 9:1
Stability I

Week 4
Sept 8

Control and
Observability (Ch. 11)
Sept15: Ch. 9: 4, 6
Ch. 11: 1

Cont & Obs Matrices
Cont & Obs Examples I

Week
5 Sept 15

LQR, LQE, LQG,
Optimal Control (Ch. 10)
Robust Control
Sept22: Ch. 10: 2 Ch. 12: 4, 8
LQR Overview
LQE & Start LQG
Inv Pendulum 01
Inv Pendulum 02

Week 6
Sept 22

LQR, LQE, LQG,
Robust Control
Sept29: Ch. 12: 6, Ch. 15: 3, 6 Building Controller
Doyle I
Doyle II
Robust Control I

Week 7
Sept 29

Exam Review Oct 8:
F2022

Week8
Oct6
Project Focus
Discrete-Time
Circuit Items
Matlab Overview
CT to DT space
Classic ASP
Laplace & Circuits

Week9
Oct13
Control & Circuits
Control & Circuits
Control & Circuits II
Circuit Control A
2 tau Circuit unity gain
2 tau Circuits with gain
Op-Amp = Control I
Week 10 Oct 20

Proj1
Oct 24
Break
Week
Week 11
Nov 3

ANC Introduction
ANC Feedforward
ANC Feedback
ANC Hybrid

Week 12
Nov 10

4-stage Amp Intro
4-stage & Normalization
Week 13
Nov 17

Proj2
Nov 21
Week 14
Nov 24

Final Project : Due December 8 (11:59pm Metz Time)

Homework (paper) is handed in during class on Mondays.

John Doyle's foundational paper starting Robust Control

Interesting Youtube video (external source) on Laplace Transform basics.

Useful Videos from Control Bootcamp (Steve Brunton, U. of Washington

Control Bootcamp Databook

Additional Resources