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ECEN 4138 - Control Systems Analysis

Elective - 3 credit hours
On-Line Course Materials

Description: Provides modeling of dynamic systems for electrical, chemical, hydraulic, and mechanical systems using block diagrams and signal flow graphs. Compares open and closed-loop configurations.

Prerequisites: APPM 2360, Linear Algebra and Differential Equations, and ECEN 3300, Linear System Theory

Textbook: Franklin, Powell and Emami-Naeini, Feedback Control of Dynamic Systems , Addison-Wesley, 1993.

Course Objectives: Students should be able to analyze linear feedback system stability, response, and performance, determine an achievable closed-loop transfer function from desired performance, and design compensation to achieve a closed-loop behavior. They should have an understanding of the advantages/disadvantages of feedback and of system robustness.

Topics

  1. What is control? History and examples. Plants, controllers, and block diagrams.
  2. Why use feedback? Basic ideas.
  3. Review: ODE's, convolution, impulse response, Laplace transform, and transfer functions.
  4. Block diagram manipulation and simplification (time and Laplace domains).
  5. Basic feedback loop and important closed-loop maps including sensitivity and complementary sensitivity.
  6. Dynamic models and response. Differential and transfer function models of mechanical, electrical, electromechanical, thermal, and fluidic systems.
  7. Poles, zeroes and associated time responses. Damping ratios. Stability. Final Value Theorem.
  8. Simple feedback types (P,P,D,PI,PD,PID) and their rule of thumb effects.
  9. Routh stability criterion.
  10. Root locus analysis and design.
  11. Steady-state response. Bandwidth. Relation between bandwidth and risetime.
  12. Nyquist theorem. Gain and phase margins.
  13. Achievable I/O maps and interpolation conditions. Design for desired closed-loop maps.
  14. Phase-variables for ODE's. State-space quadruples. Transfer function from state-space representation.
  15. State feedback and pole placement.
  16. Observers and observer based controllers.
  17. Robustness of control systems. Loop margin and relation to gain/phase margins.
  18. Sensitivity.
Class Schedule: 3 hours of lecture per week

Contribution of course to meeting Criterion 4, the professional component: This course provides 3 semester hours of electrical engineering topics consisting of engineering sciences and engineering design.

Relationship of course to program outcomes: This course is not required and is not included in outcomes assessment.

Prepared by: Controls Group and V. Heuring
May 16, 2005.