Signals and systems

• Linear systems, differential equations and transfer functions
• First and second order systems, poles and zeros, impulse and step response
• Stability

Feedback systems

• Principle of feedback, open-loop versus closed-loop control
• Reference tracking and disturbance rejection
• Types of feedback, PID control
• System type and steady-state error, error constants
• Internal model principle

Root locus techniques

• Root locus plots
• Root locus design of PID controllers

Frequency response techniques

• Bode diagram
• Minimum and non-minimum phase systems
• Nyquist plot, Nyquist stability criterion, phase and gain margin
• Loop shaping, lead lag compensation
• Frequency response interpretation of PID control

Time delay systems

• Root locus and frequency response of time delay systems
• Smith predictor

Digital control

• Sampled-data systems, difference equations
• Tustin approximation, digital implementation of PID controllers

Software tools

• Introduction to Matlab, Simulink, Control toolbox
• Computer-based exercises throughout the course