This is supplemental course information, designed to give you a fuller picture of the course and an expanded look at the topics covered. This is an unofficial document. The USC Course Catalog is the binding description of all university courses. Information such as books, materials covered, and the order of topics is subject to change. Please consult instructor for this semseter to get more upto date course information.
2003 Catalog Data:
482 Linear Control Systems (3, FaSpSm) Analysis of linear control systems; continuous and sampled-data systems, various stability criteria; frequency response and root locus compensation techniques. Prerequisite: EE 301 or graduate standing.
Textbook(s):
Modern Control Systems, Ninth Edition, R. C. Dorf. Prentice-Hall, 2001.
Coordinator:
Michael G. Safonov, Professor of Electrical Engineering
Topics:
1. Introduction, historical perspective, examples of typical control problems.
2. Modeling Techniques
3. Feedback system characteristics and performance specification
4. Stability
5. Root locus.
6. Frequency response models
7. Nyquist stability criterion, Gain and phase margin, M-circles
8. Compensator Design, Root-locus and Frequency Response Approaches
9. Robust Control
Course Objectives:
To introduce the student to the mathematical techniques and skills needed to analyze and design feedback control systems, and to use computers as aid to the design process.
Course Outcomes:
The student will be able to:
1. Discuss the history of classical feedback theory, including the engineering problems that motivated its evolution.
2. Create mathematical models complex systems using block and signal flow diagrams, small-signal linearization, Gaussian elimination, Mason’s rule and block-diagram algebra, Laplace transforms, Fourier transforms, and experimentally derived time and frequency-response data.
3. Understand relations between frequency-domain entities including root-locus dominant-pole locations, Bode plot gain/phase margins and crossover-frequencies, and Nyquist diagram M-circles to time-domain entities such as rise time, percent overshoot, settling time, and steady-state-error.
4. Analyze stability using Routh-Hurwitz, Nyquist and Evans root-locus techniques. Sketch root locus and Bode plots.
5. Use Matlab computer-aided control system design tools for analysis, design and simulation.
6. Design classical lead-lag and PID compensators using both root-locus and frequency-response techniques to meet quantitative specifications on transient response, steady-state errors, and robustness.
Laboratory Projects:
Weekly homework involves extensive use Matlab computer-aided control design tools to apply and verify theory, including a continuing design problem.
Prepared by: Michael G. Safonov Date: December 5, 2003