ECE 3710: Linear Systems

 

 

Course Description
  ECE 3710 is a course in the principles of mathematical modeling of physical systems. The principles will be taught in the traditional lecture/test format while the practice will require several computer assignments using MatLab. This course satisfies all ABET design requirements.

 

Course Topics

 

Helpful Downloads
 

Introduction

  • Control systems
    • Open loop
    • Closed loop
  • Mechatroninc Systems

Mathematical Modeling of Physical Systems

  • Linear systems
  • Transfer functions
  • Block diagrams
  • System flow graphs
  • Physical systems
    • Mechanical systems
      • rectilinear
      • rotational
    • Fluid systems
      • hydraulic
      • pneumatic
    • Thermal systems

State Variable Models

  • State variables
  • State differential equations

Feedback Control Systems

  • Error signal analysis
  • System sensitivity
  • Disturbance signals
  • Steady-state error

Performance of Feedback Systems

  • Second order systems
  • Adding poles and zeros
  • S-plane analysis
  • Transient response
  • System design

Stability of Linear Feedback Systems

  • BIBO stability
  • Routh-Hurwitz stability criterion
  • Relative Stability

Root Locus Techniques

  • Mathematical foundations
  • Graphical root locus algorithms
  • Sensitivity
  • Software implementation
  • Examples

Frequency Response Methods

  • Bode Plots
    • Theoretical
    • Linear Approximation
    • Experimental
  • Emperical derivation of transfer functions

Stability in the Frequency Domain

  • Contour maps in the s-plane
  • Nyquist criterion
  • Relative stability
  • Time-domain vs. Frequency domain analogies
  • System bandwidth
  • Transport delays
  • Examples

Course Syllabus

Lecture Notes

Assignments

Computer Programs

Tests and Solutions