The course is a first level in automatic control and provides methodological and practical knowledge about:
-Modelling, Simulating and analyze the behavior of physical systems, in particular those that are linear and time invariant;
-Basic concepts on the system dynamics, as stability, transient response and forced one;
-Frequency based design of feedback control systems;
- Design in the time domain with state observers and pole placement techniques
-Use of mainstream software tools to aid in the previous activities.
-Modelling, Simulating and analyze the behavior of physical systems, in particular those that are linear and time invariant;
-Basic concepts on the system dynamics, as stability, transient response and forced one;
-Frequency based design of feedback control systems;
- Design in the time domain with state observers and pole placement techniques
-Use of mainstream software tools to aid in the previous activities.
teacher profile teaching materials
Fondamenti di Automatica, Paolo Bolzern, Riccardo Scattolini, Nicola Schiavoni. McGraw-Hill Education; 4° edizione (19 febbraio 2015)
Programme
State space representations, matrix exponential, coordinates transformations, canonic forms, diagonalization and Jordan form. Structural properties. Poles placement via state feedback. Asymptotic state observer, pole placement via output feedback.Core Documentation
Automatic Control Systems, Tenth Edition, Farid Golnaraghi, Benjamin C. Kuo, McGraw-Hill Education; 10 edizione (10 marzo 2017)Fondamenti di Automatica, Paolo Bolzern, Riccardo Scattolini, Nicola Schiavoni. McGraw-Hill Education; 4° edizione (19 febbraio 2015)
Reference Bibliography
Alberto Isidori, Nonlinear Control Systems (Communications and Control Engineering): Third EditionType of delivery of the course
Teaching is based on face to face lessons that develop theoretical approaches and practical works also based on simulation software.Type of evaluation
The student is evaluated through a written test with the use of MATLAB software and an oral exam. teacher profile teaching materials
Permanent regime: type of control systems and steady-state error.
Rejection of k-type disturbances. Sensitivity to parametric variations.
Permanent sinusoidal regime.
Harmonic response and its representations.
The Bode diagram representation.
Nyquist criterion. Presence of integrators.
Stability margins.
The harmonic response of the closed loop: modulus at resonance and bandwidth.
Systems with delay, non-minimum phase systems.
Direct synthesis. Internal stability. Principle of the internal model, Sensitivity to parametric variations, critical band, Reproduction of sinusoidal signals, Effect of random disturbances.
Correcting Networks.
The standard PID controllers.
A. V. Papadopoulos, M. Prandini, Fondamenti di Automatica. Esercizi, Pearson, 2016.
Programme
Stabilization with a gain. Root Locus. Real positive part zeros.Permanent regime: type of control systems and steady-state error.
Rejection of k-type disturbances. Sensitivity to parametric variations.
Permanent sinusoidal regime.
Harmonic response and its representations.
The Bode diagram representation.
Nyquist criterion. Presence of integrators.
Stability margins.
The harmonic response of the closed loop: modulus at resonance and bandwidth.
Systems with delay, non-minimum phase systems.
Direct synthesis. Internal stability. Principle of the internal model, Sensitivity to parametric variations, critical band, Reproduction of sinusoidal signals, Effect of random disturbances.
Correcting Networks.
The standard PID controllers.
Core Documentation
G. Marro, Controlli Automatici, Zanichelli, 2004.A. V. Papadopoulos, M. Prandini, Fondamenti di Automatica. Esercizi, Pearson, 2016.
Reference Bibliography
G. Marro, Controlli Automatici, Zanichelli, 2004. A. V. Papadopoulos, M. Prandini, Fondamenti di Automatica. Esercizi, Pearson, 2016.Type of delivery of the course
The agenda of the course includes both traditional lectures and classroom exercises on problems of modeling, analysis and control of dynamic systems. The teaching material provided by the teacher includes exercises on the software Matlab. The exercises in Matlab are carried out in the classroom and sources are provided to students.Attendance
Although not mandatory, attendance is strongly recommended in consideration of the strong link existing between the theoretical part of the subject matter and the applications.Type of evaluation
Written, oral exam and exam during the course.