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Course Material Overview
The class is divided into
three exams,
and
11 Homework assignments.
In addition, there will be one final project at the end of the semester
(no final exam).
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Topics
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Exam
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HW
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On-Line
Lectures
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Boards
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Week 1
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State-space Systems (Ch. 1)
Linearization (Ch. 2)
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Linearization
Linear Elements
Circuit Anal
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1
2
3
4
5
6
7
8
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Week 2
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Dynamical Systems,
Linear Systems, &
Linear Algebra
(Ch. 3)
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2 State Stability
Laplace Intro
Laplace & 2nd ODE
Laplace & Freq Resp
Laplace & Circuits
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1
2
3
4
5
6
7
8
9
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Week 3
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State Transition Matrix (Ch. 5)
Matrix Exponentials (Ch. 6)
Cayley-Hamilton Theorem (Ch. 6),
Discrete-Time
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Sept 5:
Ch. 2: 3,8,
Ch. 4: 3
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CT State Intro
CT to DT space
State Dynamics
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1
2
3
4
5
6
7
8
9
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Week 4
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Lyapunov functions,
Eigenvalue Tests &
Stability (Ch. 8,9)
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Sept 12:
Ch. 4: 4,5
Ch. 5: 1, 2
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Stability I
Control & Circuits
Control & Circuits II
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1
2
3
4
5
6
7
8
9
10
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Week 5
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Exam Review
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Sept 21:
F2022
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Sept 19:
Ch. 6: 1
Ch. 8: 4,6
Ch. 9:1
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Unit1 Slides
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1
2
3
4
5
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Week 6
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Control and
Observability (Ch. 11)
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Cont & Obs Matrices
Cont & Obs Examples I
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4,
1
2
3
4
5
6
7
8
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Week 7
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Overview of
Optimal Control (Ch. 10)
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Oct 3:
Ch. 9: 4, 6
Ch. 11: 1
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LQR Overview
Inv Pendulum 01
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1
2
3
4
5
6
7
8
9
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Week 8
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More LQR, LQE, LQG
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Oct 10:
Ch. 10: 2
Ch. 12: 4, 8
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Inv Pendulum 02
LQE & Start LQG
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1
2
3
4
5
6
7
8
9
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Week 9
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Robust Control
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Oct 17:
Ch. 12: 6,
Ch. 15: 3, 6
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Building Controller
Doyle I
Doyle II
Robust Control I
Circuit Control A
2 tau Circuit unity gain
2 tau Circuits with gain
Classic ASP
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1
2
3
4
5
6
7
8
9
10
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Week 10
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Exam Review
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Oct 26
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Oct 24
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Op-Amp = Control I
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1
2
3
4
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Week 11
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Matlab Overview
ANC Introduction
ANC Feedforward
ANC Feedback
ANC Hybrid
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1
2
3
4
5
6
7
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Week 12
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4-stage Amp Intro
4-stage & Normalization
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1
2
3
4
5
6
7
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Week 13
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Nov 21
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1,
2,
3,
4,
5,
6,
7,
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Week 14
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Project 1
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Nov 30
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Final Project : Due December 13 (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
Additional Resources
Paper on Inverted Pendulum
Inverted Pendulum
(U Mich)
MATLAB LQR:
https://fr.mathworks.com/help/control/ref/lti.lqr.html
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