State space methods in control

Responsabile didattico: Franco Blanchini

Durata: 28 ore

Periodo didattico: annuale

Programma

SETTORE SCIENTIFICO DISCIPLINARE: ING-INF/04

14h - prof. Franco Blanchini

PROGRAMMA:

- State space representation, input output and state vectors. Linear systems. (2 hours).

- Equilibrium and stability of the equilibrium. Lyapunov functions. (2 hours)

- Stability for linear systems. Conditions on the eigenvalues of the state matrix. (2 hours)

- Lyapunov stability theorem. Stability analysis by means of linearization. (2 hours)

- Feedback control. State feedback, output feedback. Linearization method for stabilization. (2 hours)

- Stabilization via eigenvalue assignment and state feedback (2 hours) .

- Observer design and application to the stabilization problem (2 hours) .

14h - prof. Stefano Miani

PROGRAMMA:

-Continuous time linear systems

-transfer function representation (1 hour)

-time response (2 hours)

-frequency response (2 hours)

-SISO systems controller design

-classical frequency method (2 hours)

-optimal H_\infty (3 hours)

-controller discretization and implementation (2 hours)

-Optimal LQG control (2 hours)