| Lectures and exercises |
hours |
| Topics |
Specific contents |
|
| Introduction and examples |
Control problems, process intrumentation, transducers and actuators, modeling. |
4
|
| Dynamical systems examples and algebra |
2nd order mechanical systems, algebra, eigenvalues and eigenvectors, matrix powers and matrix exponential. |
4
|
| Laplace transforms |
Use of Laplace transforms for differential equations. Heaviside expansion. |
4
|
| Input-state-output representation |
State of a dynamical system. Input to state and (state,input) to output maps |
2
|
| Equilibrium and linearity |
Continuous-time dynamical systems. Equilibrium, stability, linearization and linearity of a dynamical system. |
4
|
| Linear time-invariant systems |
Matrix exponential, Euler formula, base change, matrix exponential for block diagonal matrices, state space trajectories. |
6
|
| Exercises |
Eigenvalues, eigenvectors, matrix exponential and Laplace transforms. |
4
|
| Software tools |
Software tools for the analysis and simulation fo dynamical systems |
3
|
| Stability points for nonlinear systems |
Linearization and eigenvalues of the linearized model. |
2
|
| Input-output behaviour |
Transfer function and pulse response. Step response of 1st and 2nd order systems. Frequency response (magnitude and phase) |
6
|
| Exercises |
Transfer functions, step response. |
4
|
| Total hours for lectures and exercises |
43 |
| for exercises only |
6 |
|
Further educational activities
|
hours
|
| Labs |
7 |
| Tutorials / Seminars |
|
| Workshops |
|
| Guided tours |
|
| |
|
| Total hours for further educational activities |
7 |
| Total hours |
50
|