Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Linear Algebra; Calculus

The course provides students with basic concepts and methodologies of automatics. Such knowledge gives to the ability to formalize and to understand issues in analysis and, for specific aspects, in modeling and control of dynamical systems in engineering applications.

Student acquire basic techniques and the ability to apply them for: analyzing the structure and behavior of linear, time-invariant, discrete-time or continuous-time dynamical systems;- solving stae and output feedback stabilization problems; formalizing and solving simple control problems.

By carrying out individual exercises and participating in problem sessions, student develops their ability: to learn by assessing the completeness and adequacy of their preparation; to make judgements by formalizing and solving modeling, analysis and control problems; to communicate by formulating and properly describing the solutions to the problems under consideration.

- Dynamical systems - Discrete time and continuous time, linear dynamical systems - System's response - Modal analysis - Steady state response. - Stability - Structural properties - State feedback, observers and output feedback. - Eigenvalues assi

Written test consisting with 4 questions about: 1) structural analysis and canonical decomposition of a linear system, 2) analysis of the dynamics of a linear system, 3) stability and stabilization of a linear system, 4) response to given inputs of a linear system. Oral test consisting in the illustration of a specific topic or part of the program (general description, related notions and results, computational aspects).

Correctness and completeness in answering to questions in the written test. Correctness, completeness, and ability to organize the material of the oral dissertation

Answer to question 1-4 in the written test are evaluated as follows: 1) max 9 points 2) max 6 points 3) max 8 points 4) max 7 points according of correctness and completeness. SUFFICIENCY in the written test is equal to 18. The written test is preparatory to the oral test. SUFFICIENCY in the written test is normally required to get access to the oral test. Students may be admitted to the oral test also if they obtain no less than 16 point, not less than half of the available points for each question and there are no serious errors in their answers. The oral test must be completed in the same session of the written test. The oral test is evaluated as follows: TOTALLY INADEQUATE: serious errors, lack of organization and gaps the student fails to correct or ameliorate using the suggestions of the examiner; INSUFFICIENT: errors, lack of organization and partial gaps the student is able to correct or ameliorate using the suggestions of the examiner; -4 to -2 points; -SUFFICIENTE: Substantial correctness, completeness and sufficiently clear presentation; -1 to +1 points; - GOOD: correct answers, good presentation and completeness; +2 to +4 points.

TOTALLY INADEQUATE in the oral test prevents the student to pass the exam. In the other cases, the overall grade is the sum of the points obtained in the written test and the points obtained in the oral test, up to 18/30 if SUFFICIENCY in the written test was not achieved, up to 30/30 if SUFFICIENCY in the written test was achieved: the exam is passed if the sum is greater than or equal to 18. 30/30 cum Laude is for candidates who master completely the topics and are able to illustrate them clearly.

- Lecture notes - Bozern, Scattolini, Schiavoni, "Fondamenti di controlli automatici", McGraw-Hill

- Ingegneria Informatica e dell'Automazione (Corso di Laurea Triennale (DM 270/04))

**Università Politecnica delle Marche**

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