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Graduate Course Information
ECE 541A - Automatic Control
Course Website: D2L
UA Catalog Description: http://catalog.arizona.edu/allcats.html
Homework: 8 – 10 assignments
Project: 1 project
Exams: 3 Midterm Exams, 1 Final Exam
Typically: 60% Midterms,
25% Final Exam,
Linear control system representation in time and frequency domains, feedback control system characteristics, performance analysis and stability, and design of control. Graduate-level requirements include evaluation on the following set of topics: Mathematical Rigor: proofs of various design guidelines; utility of signal norms as principal characteristics of a controller. Robust Control: analysis techniques for controllers with plant or other uncertainty. Project: analysis and design on a relevant novel control systems topic, using rigorous mathematics to prove properties of the system or to validate design goals, presented in the form of a conference paper. Project ideas may be developed with the instructor or graduate advisor.
“Modern Control Systems,” 12th Edition by Richard C. Dorf and Robert H. Bishop, Prentice-Hall 2011.
“Feedback Control Theory,” by John C. Doyle, Bruce A. Francis, and Allen R. Tannenbaum, Macmillan, 1992. (On-line: http://www.control.toronto.ca/~francis/dft.pdf )
1. Model, via differential equations or transfer functions, electrical, mechanical, and electromechanical dynamical systems.
2. Linearize a set of nonlinear dynamical equations.
3. Create a second-order model from a system's step response.
4. Construct all-integrator block diagrams from a transfer function, a set of differential equations, or a state-space representation and vice-versa.
5. Compute a state transition matrix from a system matrix.
6. Describe in terms of percent overshoot, settling time, steady-state error, rise-time, or peak-time how the poles of a second-order continuous-time system influence the transient response.
7. Translate design specifications into allowable dominant pole locations in the s-plane.
8. Calculate a system's steady-state error and know how the steady-state error can be influenced via system parameter changes.
9. Construct and interpret the Routh Array.
10. Determine the stability of a closed-loop system.
11. Calculate a system's sensitivity with respect to different parameters.
12. Sketch the root locus associated with a transfer function.
13. Design analog controllers using root locus techniques.
14. Design an analog PID controller to meet design specifications.
15. Calculate the phase margin and gain margin of a system from its frequency response (Bode plots).
16. Design analog controllers using Bode plot techniques.
17. Design full-state feedback gains to achieve acceptable closed-loop behavior.
Lecture: 150 minutes/week
Laboratory: Open Schedule (3 labs/semester)