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EEL 4657 - Linear Control Systems
Catalog Description: (3 cr) Theory and design of linear control systems.
Prerequisites: Circuits II, Signals and Systems
Textbook: Modern Control Systems. Dorf and Bishop.
Course Objective: To understand the essentials of mathematical system modeling; to be able to assess stability and performance properties of linear systems, and be able to design lead and lag controllers for linear systems using s-domain and frequency domain techniques.
Professional Component: 3 credits of Engineering Science
Relationship to Outcomes: (To view how the outcomes of this course fit in with the curriculum, click here)
- EE2 - knowledge of mathematics, basic and engineering sciences necessary to analyze and design complex systems
- EE3 - knowledge of advanced mathematics including linear algebra, complex variables and discrete mathematics
- a - an ability to apply knowledge of mathematics, science, and engineering
- c - an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
- e - an ability to identify, formulate, and solve engineering problems
- k - an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
Class Schedule: 3 classes per week of 50 minutes each
Topics:
- System Models – Differential Equations, State Space, Transfer Functions, Discrete-Time
- Block Diagrams and Masons Formula
- Stability Analysis – BIBO and Asymptotic Stability, Stability Margins, Routh Hurwitz
- Performance Criteria: Steady State Error and Transient Behavior , Percentage Overshoot, Settling Time, Rise Time
- Root Locus & Simple Proportional Gain Controller Design
- Lead and Lag Design in the s-domain
- Nyquist Stability Criterion and Bode Plots
- Controller Design in the Frequency Domain
- Advanced Topics
Course Committee: Dr. Hammer, Chair, Dr. Fang, Dr. Latchman
Course Committee Reports for:
| Fall Term |
Spring Term |
Summer Term |
| 2005 |
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