1. Knowledge and understanding: at the end of the course the sthudents will :
- understand the basics of retroactive control of a linear dynamic system, continuous time and discrete time;
- analyze the stability of closed-loop systems produced by external disturbances or parametric variations;
- know the specifications of a control system, both in the time and frequency domain;
2. Applying knowledge and understanding: at the end of the course the students will be able to:
- perform the design of a feedback control systems for a linear time-invariant continuous-time system and performing its discrete-time realization;
- carry out the project using standard PID type controllers
3. Making judgements: students will be able to judge the potential and limits of the control of Linear and Time-Invariant Systems (LTI).
4. Communication skills: students will be able to illustrate the basic aspects of LTI Systems, interact and collaborate as a team with other experts in the field of control.
5. Learning skills: students will be able to autonomously extend their knowledge on the Theory of Control of LTI Systems, drawing on the vast literature available in the field.
Module 1 Introduction to control systems; response performance of linear systems of the first and second order in the time domain: time constants, response time, time of
climb, settling time. Dependence of the characteristics of the response on the position of the system poles in the plane s. Characteristics of the frequency response of systems of the first and of the
second order, crossing pulsation, pass band, resonance module. Non-minimum phase systems. Polar diagrams. (Teaching hours: 9)
Module 2 Open and closed chain control. Effect of feedback on sensitivity to parametric variations, on chain and feedback chain disturbances and on the band
pass of a linear system. Accuracy at steady state of a feedback system for step, ramp, parabolic entrances, classification of feedback control systems in types. Analysis
of the stability of linear systems fed back by the Nyquist criterion. Phase and earning margin. Root site method - Tracking rules and examples. (Teaching hours: 12)
Module 3 Specifications of a control system: static and dynamic specifications. Transformation of time-specific specifications into harmonic response specifications. Nichols Charter. Synthesis for
attempts. Elementary compensating networks: anticipatory networks and attenuating networks. Synthesis by trial and error for compensation of frequency response. Synthesis with the help of the place of the roots. (Hours of
Module 4 Realization of compensating networks through both passive electrical networks and operational amplifiers. Standard PID type controllers: empirical calibration methods, analytical methods of calibration. (Teaching hours: 6)
Module 5 Relationship between the Z plane and the S plane. Discretization and reconstruction. Shannon theorem. Specifications of a discrete control system. Design of a control system
discreet. Synthesis of the discrete controller for translation. (Teaching hours: 5)
Module 6. Exercises with the help of the Matlab code (Teaching hours: 6)
1. Norman Nise, Controlli Automatici, CittàStudi;
2. Dorf, Bishop, Controlli Automatici, Pearson