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# 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 | solution |

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 | solution |

1/28 | Lyapunov Stability | Lecture 8 | ||

1/30 | Lyapunov Stability | Lecture 8 | ||

2/1 | Input-Output Stability | Lecture 9 | hw3: 6.1, 6.2 | solution |

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 | solution |

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 | solution |

2/20 | Controllable Decompositions | Lecture 13 | ||

2/22 | Stabilizability | Lecture 14 | hw6: 11.1, 12.1, 12.2, 12.3, 13.1 | solution |

2/25 | Observability | Lecture 15 | ||

2/27 | Observability | Lecture 15 | ||

3/1 | Output Feedback | Lecture 16 | hw7: 14.1, 14.2, 14.3 | solution |

3/4 | Output Feedback | Lecture 16 | Observer-based control | |

3/6 | Minimal Realizations | Lecture 17 | ||

3/8 | Grade Midterm | Midterm Solution | ||

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 | solution |

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, | solution |

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. | solution |

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. | solution |

4/8 | LQR/LQG | Lecture 23 | ||

4/19 | Loop Transfer Recover | Notes | ||

4/12 | Reference Input | Notes | hw12: 22.1, 23.3, 23.5 | solution |

4/15 | Integrators in LQR | Notes | whirlybirdsim.zip | |

4/23 | Final Exam |

# Weekly Homework Session

Wednesday 12-1PM, CB 406.