Academic Year 2021-2022

SYSTEM THEORY FOR CONTROL

Teachers

Franco Blanchini
Unit Credits
6
Teaching Period
First Period
Course Type
Supplementary
Prerequisites. Prerequisites:

Basic calculus notions, integrals and differential calculus in several variables. Basic notions of linear algebra: matrices, rank, kernel, range, determinants, eigenvalues and eigenvectors.

Basic notions on complex numbers. Fourier series and Laplace transform. Basic notions of physics: fundamental lows of mechanics, fluid dynamics, heat transfer, electromagnetism, electrical circuits. Notions of probability. Basics of software implementation.

Mandatory prerequisites: none.

Teaching Methods. – Class lectures

– Class exercises

– Virtual visit to the laboratory

Verification of Learning. To check the learning of the students and the acquired ability during the course the following tests are planned:

– three intermediate tests (4 hours each)

– in case of failure of the test or upon request of the students a written exam with

three questions: two exercises and a question about theory

– an oral exam with up to three questions

More Information. The students will be welcome to attend 12 (non–mandatory) additional hours of exercises.
Objectives
https://www.uniud.it/it/didattica/info-didattiche/regolamento-didattico-del-corso/LM-ingegneria-elettronica/all-B2
Contents
1) Differential and difference equation and their properties (hours 4)

Dynamical systems: input, output and state

2) Analysis of linear systems

– Modes (hours 8)

– Stability(hours 4)

– Reachability (hours 8)

– Observability (hours 8)

– Realization (hours 4)

2) Control of linear systems

– Stabilization via state feedback (hours 6)

– Observer design and output stabilization(hours 8)

3) Analysis of nonlinear systems

– generalities (hours 4)

– Equilibrium conditions (hours 2)

– Lyapunov functions and stability analysis (hours 8)

– Linearization (hours 8)

4) Complements

– Optimal control design (hours 4)

– Robustness of dynamical systems (hours 4)

– Model predictive control (hours 2)

– System identification (hours 2)

– Markov chains (hours 4)

– Linear algebra (hours 6)

– Norms, inner product, symmetric matrices (hours 2)

Texts
– F. Blanchini, “System and control theory, lecture notes” (English version) (edited by L. Peretti)

– D. Luenberger, “Introduction to Dynamic Systems” (in English)