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.