6.245 Fall 2011: tentative schedule
- Sep 07: Lecture
ch1.pdf
ch2.pdf
Signals and control systems conventions:
input, boundary conditions, output,
causality, linearity, time invariance,
system gains, and stability.
- Sep 09: assignment 1 issued
ps1.pdf
PS1 make-up
- Sep 12: Lecture
ch3.pdf
Using system gains and dissipation inequalities
to quantify quality of approximations and
robustness of interconnections.
- Sep 14: Lecture
ch4.pdf
Modeling LTI systems with analytical functions I:
conditions of well-posedness
verification of dissipation inequalities.
- Sep 16: assignment 2 issued
ps2.pdf
spotlite.zip
PS2 make-up
- Sep 19: assignment 1 due
ps1sol.pdf
- Sep 19: Lecture
Modeling LTI systems with analytical functions II:
verification of dissipation inequalities.
- Sep 23: assignment 3 issued
ps3.pdf
- Sep 26: assignment 2 due
ps2sol.pdf
ps22a.m
ps22c.m
ps23.m
ps23a.m
ps23b.m
- Sep 26: Lecture
State space representations of LTI systems I:
the finite order case.
- Sep 28: Lecture
State space representations of LTI systems II:
the infinite order case.
- Oct 03: Lecture
ch6.pdf
The standard LTI feedback design setup I:
motivation,
selection of weights, and loop shaping.
- Oct 05: Lecture
The standard LTI feedback design setup II:
well-posedness and the causes of singularity.
- Oct 05: assignment 3 due
ps3sol.pdf
- Oct 07: assignment 4 issued
ps4.pdf
- Oct 12: Lecture
Model order reduction and system identification
for LTI systems
- Oct 17: assignment 4 due
ps4sol.pdf
ps42.m
ps43.m
ps42des.mdl
ps42test.mdl
ps43des.mdl
ps43test.mdl
- Oct 17: Lecture
ch7.pdf
Q-parametrization: derivation
- Oct 18: assignment 5 issued
ps5.pdf
- Oct 19: Lecture
Open loop zeros, poles, and the waterbed effect
- Oct 21: assignment 6 issued
- Oct 24: Lecture
Generalizations of Q-parametrization
- Oct 25: assignment 5 due
ps4sol.pdf
ps51.m
ps53.m
ps54.m
ps54des.mdl
ps54test.mdl
- Oct 26: Lecture
ch8.pdf
KYP Lemma I:
quadratic storage functions for
linear-quadratic dissipation inequalities.
- Oct 31: Lecture
KYP Lemma II:
A Hahn-Banach Theorem proof.
- Oct 31: assignment 6 posted
ps6.pdf
- Nov 02: Lecture
KYP Lemma III: minimal quadratic storage functions.
- Nov 07: Lecture
KYP Lemma IV: a quadratic optimization proof.
- Nov 09: Lecture
H2 optimization algorithm
- Nov 10: assignment 6 due
ps6sol.pdf
ps62.m
ps64.m
ps65.m
- Nov 14: assignment 7 issued
ps7.pdf
- Nov 14: Lecture
Minimax theorem and the generalized Parrott's Lemma
- Nov 16: Lecture
H-Infinity optimization algorithm I:
the central controller
- Nov 21: Lecture
H-Infinity optimization algorithm II:
parametrization of suboptimal controllers
- Nov 23: assignment 7 due
ps7sol.pdf
ps71.m
ps72.m
h2syn6245.m
h2syn6245test.m
h2synchk.m
chol6245.m
- Nov 23: Lecture
Hankel optimal model reduction I: the setup
- Nov 28: assignment 8 issued
ps8.pdf
- Nov 28: Lecture
Hankel optimal model reduction II: the algorithm
- Nov 30: Lecture
Balanced truncation: algorithm and its analysis
- Dec 05: Lecture
Convex optimization in
LTI feedback design and system identification
- Dec 07: Lecture
Integral Quadratic Constraints I: examples.
rfiqc8.pdf
- Dec 11: assignment 8 due
ps8sol.pdf
ps81.m
ps82.m
ps83.m
ps83des.mdl
- Dec 12: Lecture
Integral Quadratic Constraints II:
use of semidefinite programming.
- Dec 14: Lecture
Catch-up and conclusion.