Spring 2005

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

` `**Class
Time:** Tuesday and Thursday, 3:00 - 4:15 p.m., Innovation Hall, Room 204, Dr. Beale

**Graduate
Teaching Assistant: Sandeep Jakkidi **

**Office Hours: **Friday, 12:30 - 4:30 p.m., Sci. & Tech. II, Room 265, 703-993-4109

` `**Prerequisites:**
Grade of C or better in ECE 220 or POI

` `**Text:**
*Modern Control Systems *, 10th Edition, R.C. Dorf and R.H. Bishop,
Prentice Hall, 2005, Chapters 1, 2, 4 - 10

Learn the purposes, advantages and disadvantages, terminology, and configurations of feedback control systems.

Learn ways of classifying, measuring, and analyzing the stability and performance properties of feedback control systems.

Learn various classical frequency domain and time domain techniques for designing compensators in order to improve performance in feedback systems.

` `**Prerequisites by topic:**

Knowledge of Fourier and Laplace transforms.

Ability to develop transfer functions for linear electrical circuits.

Knowledge of relationship between system poles and time- domain performance.

Knowledge of the concept of system frequency response.

Test 1 -- Tuesday, February 22 -- Chapters 1, 2, and 4

Test 2 -- Tuesday, April 5 -- Chapters 5, 6, and 7

Final Exam --Tuesday, May 17, 1:30 -- 4:15 p.m. -- Comprehensive, with Chapter 10 emphasized

Last day to drop classes without Dean's permission -- Friday, February 25.

No classes the week of March 13 - 20, due to Spring Break!!!

Chapter 1 -- Introduction, what control systems are, types of control systems, examples of control systems, what feedback is and why it is used -- 1 class period.

Chapter 2 -- Block diagrams and their manipulation, signal flow graphs, Mason's gain formula -- 4 class periods.

Chapter 4 --Advantages of feedback systems, reduction of sensitivity to parameter changes, reduction in the effects of disturbances -- 2 class periods.

Chapter 5 -- Transient analysis for systems, model and characteristics of second-order systems, steady-state errors in systems -- 4 class periods.

Chapter 6 -- Stability of linear systems, stability analysis from the Routh array -- 2 class periods.

Chapter 7 -- Closed-loop poles and their movement, concept of the root locus magnitude and phase criteria, constructing the root locus plot, properties of the root locus -- 3 class periods.

Chapters 8 & 9 -- Frequency response analysis, review of Bode plots, gain and phase margins -- 3 class periods.

Chapter 10 -- Specifications for control systems, designing compensators with root locus and in the frequency domain, phase lag and phase lead compensators, lag-lead compensation -- 7 class periods.

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

Tuesday |
Jan. 25 |
Introduction | 1 |

Thursday |
Jan. 27 |
Block diagrams | 2 |

Tuesday |
Feb. 1 |
Block diagrams | 2 |

Thursday |
Feb. 3 |
Signal flow graphs, Mason gain rule | 2 |

Tuesday |
Feb. 8 |
Signal flow graphs, Mason gain rule | 2 |

Thursday |
Feb. 10 |
Sensitivity to parameter variations | 4 |

Tuesday |
Feb. 15 |
Disturbance rejection | 4 |

Thursday |
Feb. 17 |
Second-order systems (material not on Test #1) | 5 |

Tuesday |
Feb. 22 |
Test #1, Chapters 1, 2, and 4 |
1, 2, 4 |

Thursday |
Feb. 24 |
Second-order systems | 5 |

Tuesday |
Mar. 1 |
Steady-state error | 5 |

Thursday |
Mar. 3 |
Steady-state error | 5 |

Tuesday |
Mar. 8 |
System stability, the Routh array | 6 |

Thursday |
Mar. 10 |
Routh array | 6 |

Tuesday |
Mar. 15 |
No class due to Spring Break |
--- |

Thursday |
Mar. 17 |
No class due to Spring Break |
--- |

Tuesday |
Mar. 22 |
Introduction to pole movement, the root locus | 7 |

Thursday |
Mar. 24 |
Root locus | 7 |

Tuesday |
Mar. 29 |
Root locus | 7 |

Thursday |
Mar. 31 |
Bode plots (material not on Test #2) | 8 |

Tuesday |
Apr. 5 |
Test #2, Chapters 5, 6, and 7 |
5, 6, 7 |

Thursday |
Apr. 7 |
Gain and phase margins | 8 |

Tuesday |
Apr. 12 |
Gain and phase margins | 8 |

Thursday |
Apr. 14 |
Compensator design using root locus, phase lead | 10 |

Tuesday |
Apr. 19 |
Compensator design using root locus, phase lead | 10 |

Thursday |
Apr. 21 |
Compensator design using root locus, phase lag | 10 |

Tuesday |
Apr. 26 |
Compensator design using Bode plots, phase lag | 10 |

Thursday |
Apr. 28 |
Compensator design using Bode plots, phase lag, phase lead | 10 |

Tuesday |
May 3 |
Compensator design using Bode plots, phase lead | 10 |

Thursday |
May 5 |
Compensator design using Bode plots, lag-lead | 10 |

Tuesday |
May 17 |
Final Exam, comprehensive, Chap. 10 emphasized |
All |

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