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) 


Elenco corsi 2020/2021