Continuous-time dynamic systems.
State-space representation. Equilibrium. Free response, forced response and superposition. Stability. Reachability and Observability. Kalman’s canonical forms. Linearization.
Transfer functions.
Input-output representation. Transfer function. Dominant poles. Impulse and step response.
Frequency response.
Frequency response. Oscillations and resonant poles. Bode plots. Polar and Nyquist plots. Dynamic response: bandwidth, overshoot and settling time.
Feedback control systems.
The mechanism of feedback. Nyquist stability criterion. Bode stability criterion. Steady-state response. Transient response. Regulator design via frequency methods. Disturbance attenuation and compensation.