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## OPTIMIZATION AND CONTROL METHODS

CODE 90443 2022/2023 5 cfu during the 1st year of 10377 SAFETY ENGINEERING FOR TRANSPORT, LOGISTICS AND PRODUCTION(LM-26) - GENOVA ING-INF/04 English GENOVA 1° Semester This unit is a module of: AULAWEB

## OVERVIEW

Optimization is the discipline that concerns the investigation of the algorithms for searching the points of minimum or maximum of cost functions and functionals.

## AIMS AND CONTENT

### LEARNING OUTCOMES

The goal is that of making the students achieve the capacity modeling dynamic systems and solving control problems involving the optimization of some performance index.

### AIMS AND LEARNING OUTCOMES

The course aims at achieving the ability to model dynamical systems and solve control problems that may require the optimization of performance indices. Attendance and active participation in lessons and individual study will allow the student to
- know in depth the structural properties of linear dynamical systems;
- apply the results of the theory developed on dynamical systems to simple case studies;
- determine the solution of simple optimization problems;
- achieve the correct terminology for analysis of dynamic systems and in the formulation of an optimization problem.

### TEACHING METHODS

Theoretical lectures and exercises for a number of about 50 hours on the overall. Guided lectures with Matlab.

### SYLLABUS/CONTENT

The contents of the course are the following: 1) system theory; 2) automatic control; 3) linear mathematical programming. In more detail,

1) controllability / reachability, observability, detectability, internal stability, external stability;

2) feedback on the state and on the output, state observers, dynamic feedback with state observers;

3) simplex method.

D. Xue, Y. Chen, D.P. Atherton, Linear Feedback Control: Analysis and Design with MATLAB (Advances in Design and Control), SIAM, 2007.

T. Kailath, Linear Systems, Paperback, Prentice Hall, 2016.

D. Bertsekas, Introduction to Linear Optimization, Athena Scientific, 1997.

## TEACHERS AND EXAM BOARD

### Exam Board

ANGELO ALESSANDRI (President)

GIULIO FERRO (President Substitute)

RICCARDO MINCIARDI (President Substitute)

## LESSONS

### LESSONS START

https://corsi.unige.it/10377/p/studenti-orario

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

### EXAM DESCRIPTION

Written examination (with possible oral check) on appointment to agree by email. Students with learning disorders ("Disturbi Specifici di Apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities."

### ASSESSMENT METHODS

The capability to formulate and solve problems of control and optimization under linear assumptions will be verified. The verification concerns questions on

- continuous-time linear systems;

- discrete-time linear systems;

- linear programming.

### Exam schedule

Date Time Location Type Notes
17/02/2023 01:00 GENOVA Esame su appuntamento
15/09/2023 01:00 GENOVA Esame su appuntamento

### FURTHER INFORMATION

For questions, contact the lecturer to agree on the time of meeting.