Program

Motivation:

• Why control and why feedback?
• Brief historical perspective.
• Examples of control systems (technological or not) in the real-world.

Models in Control Engineering:

• Nominal, simulation, and real system.
• SISO and MIMO systems.
• General discussion: causal/non-causal; continuos/discrete time; finite/infinite dimensional; non-linear/linear; stationary/non-stationary.
• From non-linear to linear systems (LPV as a particular connecting case).
• Linearisation.

Models in Control Engineering:

• Nominal, simulation, and real system.
• SISO and MIMO systems.
• General discussion: causal/non-causal; continuos/discrete time; finite/infinite dimensional; non-linear/linear; stationary/non-stationary.
• From non-linear to linear systems (LPV as a particular connecting case).
• Linearisation.

Input-Output Representation:

• Time domain (state-space) description.
• Frequency domain (transfer-function) description.

Stability Analysis:

• BIBO Stability.
• Internal Stability.
• Lyapunov Theory: A first approach.

Feedback systems analysis:

• Sensitivity functions.
• Closed-loop stability.
• Robust stability and robust performance.

Control Design:

• Polynomial control: Pole-placement frequency-domain.
• State-feedback: Pole-placement in the time-domain.
• Observers.
• Observed state feedback.

Time domain design performance constraints (limitations.):

• Step response limitations.
• Unstable poles.
• Non-minimum phase zeros.

Further Exploration:

• Optimal control: LQR and LQG control techniques.
• Robust Control
• Non-linear control.