Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Elements of Linear Algebra and Calculus, Differential Equations, Laplace Transform, Linear Time Invariant Systems.

The course enables students to acquire knowledge and skills on the analysis and synthesis of nonlinear control systems . This knowledge will complete what has been already learnt in the automation courses of the three-years degree, and will enable students to increase their expertise in the study and synthesis of nonlinear systems in different application contexts , thus allowing them to acquire a greater awareness of the multidisciplinary nature of engineering.

The student will be able to deal with topics of nonlinear automated systems synthesis, in different application contexts and with often conflicting specifications, and to select the architecture which best fits the particular problem of nonlinear control. This ability will appear through a series of professional skills, such as: 1. the ability to classify the design requirements ; 2. the ability to choose the most suitable nonlinear synthesis methodology; 3. the ability to appropriately evaluate nonlinear systems performances; 4. the ability to critically analyze experimental data, working in teams with other elements involved in the study of the problem.

The execution of an exercise in solving a nonlinear control problem , made in the classroom with the help of CAD tools , will help to improve both the level of the student's independent judgment , both his ability to learn iindependently, both the communication capacity that results from the interaction with the others.

References on Time Invariant Linear Systems. Nonlinear Systems Analysis. Stability of Autonomous Nonlinear Systems. Lyapunov Stability. Stability of non Autonomous Nonlinear Systems. Ultimate Boundedness, Input-to-State Stability. Synthesis Elements: Local Relative Degree. Zero Dynamics. Feedback Linearization, Sliding Mode Control, Passivity based control.

The assessment of student learning consists of an oral exam, which consists of answering three of the topics covered in the course.

To successfully pass the assessment of learning, the student must have a competence of all the mathematical tools needed to understand the topics covered in the course, and of all the concepts that are the basis of automatic control theory fot linear time invariant systems. He must also know the fundamental properties of nonlinear dynamical systems and finally he must be able to perform the analysis and the synthesis of a non-linear control system, using the tools learnt in the course, both from a theoretical point of view, showing that he has understood in depth all the topics studied, and from a practical point of view, showing the capability ofsolving examples and exercises on the analysis and synthesis of these systems.

Each of oral questions is graded with a score between zero and ten. The overall evaluation is the sum of the three scores and is marked out of thirty.

In order to have a positive evaluation, the student must achieve an overall score of at least eighteen, with the constraint that in each of the three oral questions the evaluation must be at least six. Full marks cum laude are given to students who have achieved the highest rating in the oral exam, and have shown a particular brilliance.

Hassan K. Khalil, Nonlinear Control - GLOBAL EDITION, Pearson, 2014. Hassan K. Khalil, Nonlinear Systems - Third Edition, Prentice Hall, 2002.

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

**Università Politecnica delle Marche**

P.zza Roma 22, 60121 Ancona

Tel (+39) 071.220.1, Fax (+39) 071.220.2324

P.I. 00382520427