Schedule - ECE 773/ME 733
| Date | Topic | Reading | Homework | Additional Material |
|---|---|---|---|---|
| 1/7 | State Space & Notation | Lecture 1 | ||
| 1/9 | Linearization | Lecture 2 | ||
| 1/11 | LTI Systems | Lecture 3 | ||
| 1/14 | Transfer functions | Lecture 4 | ||
| 1/16 | Solution of LTV Systems | Lecture 5 | ||
| 1/18 | Solution of LTI Systems | Lecture 6 | hw1: 1.1, 2.1, 2.2, 2.3 | |
| 1/23 | Solution of LTI Systems | Lecture 6 | ||
| 1/25 | Jordan Form | Lecture 7 | hw2: 3.1, 4.2, 4.4, 4.5, 5.2 | |
| 1/28 | Lyapunov Stability | Lecture 8 | ||
| 1/30 | Lyapunov Stability | Lecture 8 | ||
| 2/1 | Input-Output Stability | Lecture 9 | hw3: 6.1, 6.2 | |
| 2/4 | Input-Output Stability | Lecture 9 | ||
| 2/6 | Preview Optimal Control | Lecture 10 | LQR Example | |
| 2/8 | Controllability | Lecture 11 | hw4: 7.1, 8.3, 8.4, 8.5, 8.6, 8.7 | |
| 2/11 | Controllability | Lecture 11 | linear_operators.pdf | |
| 2/13 | Controllable Systems | Lecture 12 | ||
| 2/15 | Controllable Systems | Lecture 12 | hw5: 9.1, 10.1 | |
| 2/20 | Controllable Decompositions | Lecture 13 | ||
| 2/22 | Stabilizability | Lecture 14 | hw6: 11.1, 12.1, 12.2, 12.3, 13.1 | |
| 2/25 | Observability | Lecture 15 | ||
| 2/27 | Observability | Lecture 15 | ||
| 3/1 | Output Feedback | Lecture 16 | hw7: 14.1, 14.2, 14.3 | |
| 3/4 | Output Feedback | Lecture 16 | Observer-based control | |
| 3/6 | Minimal Realizations | Lecture 17 | ||
| 3/8 | Grade Midterm | |||
| 3/11 | Minimal Realizations | Lecture 17 | ||
| 3/13 | Smith-McMillan Form | Lecture 18 | ||
| 3/15 | Smith-McMillan Form | Lecture 18 | hw8: 15.1, 16.1 | |
| 3/18 | Zeros, Minimality, Inverses | Lecture 19 | ||
| 3/20 | Zeros, Minimality, Inverses | Lecture 19 | ||
| 3/22 | Linear Quadratic Regulator | Lecture 20 | hw9: 17.1, 17.2, 18.1, 18.2, | |
| 3/25 | Whirlybird | |||
| 3/27 | Algebraic Riccati Equation | Lecture 21 | ||
| 3/29 | Algebraic Riccati Equation | Lecture 21 | hw10: 18.3, 19.1, 19.2, 19.3 Extra Problems Do Prob 2.9, but write your own minreal command and compare. | |
| 4/1 | Properties of LQR | Lecture 22 | ||
| 4/3 | Properties of LQR | Lecture 22 | ||
| 4/5 | LQR/LQG | Lecture 23 | hw11: 20.1, 20.2, 21.2, 21.4 Extra Problems Do Probs 2.12 and 2.13, but implement in Simulink and tune the controller with both Q and R. | |
| 4/8 | LQR/LQG | Lecture 23 | ||
| 4/19 | Loop Transfer Recover | Notes | ||
| 4/12 | Reference Input | Notes | hw12: 22.1, 23.3, 23.5 | |
| 4/15 | Integrators in LQR | Notes | whirlybirdsim.zip | |
| 4/23 | Final Exam |
Weekly Homework Session
Wednesday 12-1PM, CB 406.