ECE311 — Introduction to Control Systems

Course introduces control theory. Follows ECE216 — Signals and Systems, followed by ECE411 — Adaptive Control and Reinforcement Learning. Lab work is done in MATLAB and Simulink.

No assigned textbook. Some quick links:

• Course pages
  • Past lecture notes from Prof Bruce Francis
  • Quercus page
  • 2020 course page, from Prof Mireille Broucke
• Modern Control Systems, by Richard C. Dorf and Robert H. Bishop

Concepts covered

• Basic control theory
  • Open- and closed-loop systems
  • Block diagram
  • Feedback system
  • System controller
    • Proportional
    • Proportional-integral (PI)
• System models
  • Differential equation
    • Zero-input response
  • State-space model
  • Transfer function
    • Zeroes and poles
    • Adjugate matrix
• System properties
  • Linearity
  • Time invariance
    • Linear time-invariant system
• Linearisation
  • Jacobian matrix
  • Small signal modelling
• Laplace transform
  • Inverse Laplace transform
    • Residue
    • Cauchy’s residue theorem
• System responses
  • Time response
    • Damping ratio, natural frequency
    • Transient specifications
  • Impulse response
  • Step response
• Stability
  • BIBO stability
  • Routh-Hurwitz criterion
  • Nyquist stability criterion
• Bode plot