Spring 2013

## You can download a .pdf version of the course syllabus.

` `**Class
Time:** Tuesday, 4:30 - 7:10 p.m., Planetary Hall, Room 124, Dr. Beale

**Graduate
Teaching Assistant: ** ** Debosmita Biswas**

**Office Hours: Monday, 1:00 - 3:00 p.m. and Wednesday, 3:00 - 5:00 p.m., ENGR 3204 **

` `**Prerequisites:**
Background in Signals and Systems, Linear Algebra, Ordinary Differential Equations

` `**Text:**
*Modern Control Theory*, 3rd Edition, William Brogan,
Prentice Hall, 1991, Chapters 3 - 13

Learn the fundamentals of state space models for linear dynamic systems.

Learn ways of classifying and measuring the stability and other performance properties of state space systems.

Learn state space controller design techniques to improve performance in feedback systems.

2 Tests, 50%

Homework 15%

Design Project, 15%

Final Exam, 20%

**The lower test grade for each student will count 20%, and the higher test grade will count 30%**

Test 1 -- February 26 -- Chapters 3, 4, 5, 6

Test 2 -- April 9 -- Chapters 7, 8, 9, 10

Final Exam -- May 14, 4:30 - 7:15 p.m. -- Comprehensive, with Chapters 11, 12, 13 emphasized

Final Drop Deadline -- Friday, February 22

No classes March 11 - 17 due to Spring Break!!!

Day | Date | Topic | Chapter |
---|---|---|---|

Tuesday |
January 22 |
State variables and state space models of dynamical systems | 3 |

Tuesday |
January 29 |
Fundamentals of matrix algebra | 4 |

Tuesday |
February 5 |
Vectors and linear vector spaces | 5 |

Tuesday |
February 12 |
Simultaneous linear equations | 6 |

Tuesday |
February 19 |
Eigenvalues and eigenvectors | 7 |

Tuesday |
February 26 |
Test #1 |
3, 4, 5, 6 |

Tuesday |
February 26 |
Functions of square matrices; Cayley-Hamilton theorem | 8 |

Tuesday |
March 5 |
Analysis of continuous-time and discrete-time linear systems | 9 |

Tuesday |
March 12 |
Spring Break, No Class Today |
----- |

Tuesday |
March 19 |
Analysis of continuous-time and discrete-time linear systems | 9 |

Tuesday |
March 26 |
Stability theory | 10 |

Tuesday |
April 2 |
Controllability and observability of linear systems | 11 |

Tuesday |
April 9 |
Test #2 |
7, 8, 9, 10 |

Tuesday |
April 9 |
State variable vs. transfer function models | 12 |

Tuesday |
April 16 |
Design of linear state feedback control systems | 13 |

Tuesday |
April 23 |
Observers and state feedback | 13 |

Tuesday |
April 30 |
Observers and state feedback | 13 |

Tuesday |
May 14 |
Final Exam, comprehensive, Chaps. 11, 12, 13 emphasized |
All |

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