Electronics Engineering

A brief history of automatic control and examples of application. 1. Analysis of linear and stationary dynamical systems Time invariant linear dynamic systems. Process modeling. References: Chapter 1 of [1]. Representations in the time domain. Unforced evolution and natural modes. Asymptotic stability and Routh criterion. References: Chapters 2 and 3 (up to page 79) of [1]. Representations in the Laplace domain. Forced evolution: impulse response, transfer function. Relations between eigenvalues ​​and poles. Steady state and harmonic response. Bode diagrams. References: Chapter 5 of [1]. Interconnected systems: series, parallel, feedback. References: Chapters 6 and 7 of [1]. Stability of feedback systems: Nyquist criterion. Stability margins. References: Chapter 10 (excluding paragraph 10.7) of [1]. 2. Control systems: structure and project specifications Specifications in the design of a control system. Feedback, compensation and mixed control schemes. Response accuracy. Steady state output error. Noise rejection and attenuation. Specifications on the transient response and links with the harmonic response in open loop. References: Chapters 1, 2 (for references and links with the analysis part) and 3 of [2]; Chapters 11 and 12 (up to page 327) of [1]. 3. Design methods based on frequency response Elementary compensating functions. Synthesis of compensating functions based on Bode or Nyquist diagrams. References: Chapter 4 of [2], Chapter 12 (from page 327) of [1]. 4. Design methods in the Laplace domain Root locus method. Stabilization of minimum phase systems. References: Chapter 5 (up to page 227) of [2], Chapter 13 of [1] (only for the root locus). (hereinafter: Electronic Engineering only) 5. Stabilization of non-minimum phase systems. Direct synthesis and poles assignment. References: Chapters 5 (from page 227) and 6 of [2]. 6. Time domain design methods Structural properties, Kalman decomposition and canonical forms in the state space. Stabilization by state feedback. Assignment of eigenvalues. Asymptotic state observer. Stabilization output feedback. Separation principle. Criteria for the choice of closed-loop eigenvalues. Inclusion of the reference signal in state feedback schemes. References: Chapter 1 of [3]. 7. Stability for non-linear systems Algebraic non-linearity and the descriptive function. Stability of the equilibrium points. Lyapunov's direct method. Construction of Lyapunov functions. Invariant set theorems. Lyapunov's indirect method. References: Material provided by the teacher; Chapter 7 of [5], Chapter 4 (up to page 133) of [6]. 8. Stabilization of non-linear systems Stabilization via state feedback. Stabilization via approximate linearization. References: Material provided by the teacher; Chapter 12 (up to page 478) of [6]. 9. Examples Application examples decided on a yearly basis. Controller design and simulation using MATLAB / Control System Toolbox and Simulink. Textbooks [1] P. Bolzern, R. Scattolini, N. Schiavoni: "Fundamentals of Automatic Controls", McGraw-Hill, 2015. [2] A. Isidori: "Control Systems", Vol. 1 (2nd Edition), Siderea, 1996. [3] A. Isidori: "Control Systems", Vol. 2 (2nd Edition), Siderea, 1998. [4] L. Lanari, G. Oriolo: "Automatic Controls - Synthesis Exercises", EUROMA-La Goliardica, 1997 Further readings [5] G. Marro: "Automatic Controls", (4th Edition), Zanichelli, 1992. [6] H. Khalil: "Nonlinear Systems", (3rd Edition), Prentice Hall, 2002.

Familiarity with the basic concepts of differential calculus, linear algebra, physics, Laplace transform.

Textbooks [1] P. Bolzern, R. Scattolini, N. Schiavoni: "Fundamentals of Automatic Controls", McGraw-Hill, 2015. [2] A. Isidori: "Control Systems", Vol. 1 (2nd Edition), Siderea, 1996. [3] A. Isidori: "Control Systems", Vol. 2 (2nd Edition), Siderea, 1998. [4] L. Lanari, G. Oriolo: "Automatic Controls - Synthesis Exercises", EUROMA-La Goliardica, 1997 Further readings [5] G. Marro: "Automatic Controls", (4th Edition), Zanichelli, 1992. [6] H. Khalil: "Nonlinear Systems", (3rd Edition), Prentice Hall, 2002.

Lectures illustrating the methodologies of analysis of linear dynamic systems and control systems design. The exercises propose the application of the methodologies illustrated to case studies and real problems, also using numerical simulation tools. Multiple choice tests are periodically proposed in the Sapienza e-learnign environment for a quick check of the acquired knowledge.

Not mandatory.

The exam consists in a written part requiring the solution of linear control systems analysis and design problems plus an oral discussion.

Lectures illustrating the methodologies of analysis of linear dynamic systems and control systems design. The exercises propose the application of the methodologies illustrated to case studies and real problems, also using numerical simulation tools. Multiple choice tests are periodically proposed in the Sapienza e-learnign environment for a quick check of the acquired knowledge.

Linear oriented dynamical systems and state-space representations: from the plant to the model and the abstract system. The concept of causal dynamical system: linear time-invariant (LTI) systems with finite dimension; implicit and explicit representations; modal decompositions of the free and forced responses; the transition and the impulsive response matrices and their properties. Time domain analysis for continuous-time systems: natural modes in the free state response for regular matrices; motion laws and trajectories of natural modes; natural modes in the forced output and state responses and their properties (excitability and observability). Complex domain analysis: the Laplace transform for the analysis of continuous-time systems. The steady-state and transient responses; the steady-state response to canonical inputs. Frequency domain analysis: the armonic response and its properties. Representations of the transfer function. Bode and Polar diagrams. Links among the evolutions in the frequency and time domains. Stability theory: definitions for liner systems; criteria and conditions. Internal stability: the Routh and Jury criteria.

Basics on mathematics: real and complex n-valued functions; graphical representations; basics on integral and differential calculus. Basics on linear algebra and geometry: linear operators, vectorial spaces. Basics on physics.

[1] S. Monaco, C. Califano, P. Di Giamberardino, M. Mattioni: "Teoria dei Sistemi lineari stazionari a dimensione finita", Società Editrice Esculapio, 2021 (ristampa a partire dal 2022!). [2] A. Isidori: "Sistemi di Controllo", Vol. 1 (2a Edizione), Siderea, 1996. [3] L. Lanari, G. Oriolo: "Controlli Automatici - Esercizi di Sintesi", EUROMA-La Goliardica, 1997

Classic lectures for theoretical aspects and tutoring sessions for the practical part

Attendance is not mandatory but highly recommended.

Written and oral examination on both theoretical aspects and exercises.

Classic lectures for theoretical aspects and tutoring sessions for the practical part