ECE541

Synthesis of Control Systems
Spring
Catalog Data:

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ECE 541A - Automatic Control

Credits:  3.00

Course Website: D2L

UA Catalog Description:  http://catalog.arizona.edu/allcats.html

Course Assessment:

Homework:  8 – 10 assignments

Project:  1 project

Exams:  3 Midterm Exams, 1 Final Exam

Typically: 60% Midterms,

25% Final Exam,

5% Homework,

5% Laboratory,

5% Project.

Course Summary:

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.

Prerequisite(s):
Textbook(s):

“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 )

Course Topics:

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.

Class/Laboratory Schedule:

Lecture:  150 minutes/week

Laboratory:  Open Schedule (3 labs/semester)

Prepared by:
Hal Tharp
Prepared Date:
April 2013

University of Arizona College of Engineering