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 models
  • Differential equation
  • State-space model
  • Transfer function (matrix form, adjugate matrix)
• System properties (LTI systems)
  • Linearity
  • Time invariance
• 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
• System controller
  • Proportional
  • Proportional-integral (PI)
  • Proportional-integral-derivative (PID)
  • Asymptotic tracking
  • Internal model principle
• Root locus
• Bode plot
  • Decibel
  • Bandwidth