Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Algebra of matrices, Laplace Transform, coordinate transformations on linear vector spaces

Learn: 1 - Elements of analysis of LTI systems with state and synthesis with reaction to the state; 2 - the classical theory of feedback control, SISO, continuous-time. Acquire skills of analysis and synthesis in the frequency domain, complex variable, time also with the use of MATLAB

The course will provide the basic knowledge of the foundamentals of analysis of linear and stationary systems with the state - The classical theory of control feedback, single-input-single-output (SISO), continuous-time. The course will allow to acquire skills of analysis and synthesis in the frequency domain and of the complex variable s, for time-continous SISO systems also with use of MATLAB. Students will be able the use Matlab tools specially dedicated to control systems.

The student should be able to critically evaluate different practical solutions in order to identify the most appropriate objectives to be pursued.

Theory lessons (48 hours) The course will provide the basic knowledge of the foundamentals of analysis of linear and stationary systems with the state, the classical theory of control feedback, single-input-single-output (SISO), continuous-time. 1 - Elements of analysis of LTI systems with state and synthesis with reaction to the state; - Definition of dynamic systems regular, time invariant, linear; - Natural (impulse) response decomposition in natural modes; - Dynamic response calculation via Laplace transform; - Stability: definition and conditions; - Response in free and forced conditions; - Steady-state and transient response; - Frequency response; - Structural properties of a dynamic system; - Eigen-values allocation design techniques. 2 - Frequency response analysis and design ; Root locus design. - Transfer function analysis; - Nyquist and Routh criteria; - Steady-state behaviour under polynomial and sinusoidal inputs; - Transient behaviour; - Effects of parameters incertitude; - Frequency domain design of servo-systems; - Root locus design of servo-systems; - Industrial regulators characters and tuning Pratical lessons (24 hours) The course will allow to acquire skills of analysis and synthesis for time-continous SISO systems in the frequency domain, the complex variable s and in the time domain also with use of MATLAB. Infact students will be able the use Matlab tools specially dedicated to control systems.

it consists in three questions. One of the three questions will be answered in writing, because it concerns the solution of control design and analysis problems. Solution is here meant as the correct determination of the numerical values required by the question. Two questions will be answered orally.A rate greather than (or equal to) 4, after the first question is required to support the oral questions

the students have to reach the ability to explain the learned theoretical aspects and to gain a level of competence to use the skills learned.The student should be able to critically evaluate different practical solutions in order to identify the most appropriate objectives to be pursued.

The final vote will be given 30/30. Each of the three questions will be assessed from 0 to 10.Il final grade will be the sum of the votes.

A rating of 0 in question involves the repetition of the examination. An evaluation of 10 corresponds to demonstrate full knowledge of the matter. The attribution of praise is a full demonstration of mastery of the topics.

Rinaldi, Picardi I sitemi lineari: teoria , modelli, applicazioni Città Studi Edizioni;Ruberti, Isidori, Teoria dei Sistemi Bollati-Boringhieri;sidori, Sistemi di controllo Siderea Ruberti,Isidori Teoria della stabilità. Siderea;Franklin, et al Feedback control of Dynamic systems,Addison-Wesley, 2002,EdiSES K.J.;Shinners :Modern control system theory and applications, Addison Wesley

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**Università Politecnica delle Marche**

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