Provide methodological and practical knowledge for modeling, simulating and analysing dynamic systems, with particular reference to linear and time invariant systems. Introduce basic concepts such as stability and transient response, frequency based design of feedback control systems, digital implementations of linear controllers.
Curriculum
teacher profile teaching materials
Automatic control usefulness. Feedforward and feedback control. Block diagram. Mathematical models for dynamical systems. Systems taxonomy (linearity, stationarity, etc.). State definition.
-Linear and Stationary System Analysis
Laplace transform and its properties. Inverse Laplace transform by partial-fraction expansion. Input-Output model of dynamical systems. Transfer function. Convolution. First- and Second-Order System Response. Natural response and forced response. Transient response and steady-state. Modes of the system. BIBO stability. Routh criterion for stability. Block diagram and their algebra.
-Frequency Response
Definitions. Impulse Response. Step Response. Bode plot techniques. Nyquist plot techniques. Nichols plot techniques.
-Feedback Systems Analysis
Closed-loop stability from open-loop frequency response. Nyquist stability criterion. Stability margins. Steady-state tracking and system type.
-Closed-Loop Frequency Response
Design relations. PID Controller. Lead Compensator. Lag Compensator.
-State-space analysis
State-space representation. The matrix exponential. Conversion from state-space representation to the transfer function. Companion form. Stability analysis. Modal decomposition. Controllability, observability, and Kalman canonical decomposition.
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Efesto
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Scientifiche Siderea
Additional Textbook
Stefano Panzieri, Chiara Foglietta, Valeria Bonagura, Fondamenti di automatica, Edizioni Efesto, 2024
Giovanni Marro, Controlli Automatici, quarta edizione 1997, Zanichelli.
Programme
Basic ConceptsAutomatic control usefulness. Feedforward and feedback control. Block diagram. Mathematical models for dynamical systems. Systems taxonomy (linearity, stationarity, etc.). State definition.
-Linear and Stationary System Analysis
Laplace transform and its properties. Inverse Laplace transform by partial-fraction expansion. Input-Output model of dynamical systems. Transfer function. Convolution. First- and Second-Order System Response. Natural response and forced response. Transient response and steady-state. Modes of the system. BIBO stability. Routh criterion for stability. Block diagram and their algebra.
-Frequency Response
Definitions. Impulse Response. Step Response. Bode plot techniques. Nyquist plot techniques. Nichols plot techniques.
-Feedback Systems Analysis
Closed-loop stability from open-loop frequency response. Nyquist stability criterion. Stability margins. Steady-state tracking and system type.
-Closed-Loop Frequency Response
Design relations. PID Controller. Lead Compensator. Lag Compensator.
-State-space analysis
State-space representation. The matrix exponential. Conversion from state-space representation to the transfer function. Companion form. Stability analysis. Modal decomposition. Controllability, observability, and Kalman canonical decomposition.
Core Documentation
Main TextbookRoberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Efesto
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Scientifiche Siderea
Additional Textbook
Stefano Panzieri, Chiara Foglietta, Valeria Bonagura, Fondamenti di automatica, Edizioni Efesto, 2024
Giovanni Marro, Controlli Automatici, quarta edizione 1997, Zanichelli.
Attendance
Optional attendanceType of evaluation
Written Examination teacher profile teaching materials
Automatic control usefulness. Feedforward and feedback control. Block diagram. Mathematical models for dynamical systems. Systems taxonomy (linearity, stationarity, etc.). State definition.
-Linear and Stationary System Analysis
Laplace transform and its properties. Inverse Laplace transform by partial-fraction expansion. Input-Output model of dynamical systems. Transfer function. Convolution. First- and Second-Order System Response. Natural response and forced response. Transient response and steady-state. Modes of the system. BIBO stability. Routh criterion for stability. Block diagram and their algebra.
-Frequency Response
Definitions. Impulse Response. Step Response. Bode plot techniques. Nyquist plot techniques. Nichols plot techniques.
-Feedback Systems Analysis
Closed-loop stability from open-loop frequency response. Nyquist stability criterion. Stability margins. Steady-state tracking and system type.
-Closed-Loop Frequency Response
Design relations. PID Controller. Lead Compensator. Lag Compensator.
-State-space analysis
State-space representation. The matrix exponential. Conversion from state-space representation to the transfer function. Companion form. Stability analysis. Modal decomposition. Controllability, observability, and Kalman canonical decomposition.
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Efesto
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Scientifiche Siderea
Additional Textbook
Stefano Panzieri, Chiara Foglietta, Valeria Bonagura, Fondamenti di automatica, Edizioni Efesto, 2024
Giovanni Marro, Controlli Automatici, quarta edizione 1997, Zanichelli.
Programme
Basic ConceptsAutomatic control usefulness. Feedforward and feedback control. Block diagram. Mathematical models for dynamical systems. Systems taxonomy (linearity, stationarity, etc.). State definition.
-Linear and Stationary System Analysis
Laplace transform and its properties. Inverse Laplace transform by partial-fraction expansion. Input-Output model of dynamical systems. Transfer function. Convolution. First- and Second-Order System Response. Natural response and forced response. Transient response and steady-state. Modes of the system. BIBO stability. Routh criterion for stability. Block diagram and their algebra.
-Frequency Response
Definitions. Impulse Response. Step Response. Bode plot techniques. Nyquist plot techniques. Nichols plot techniques.
-Feedback Systems Analysis
Closed-loop stability from open-loop frequency response. Nyquist stability criterion. Stability margins. Steady-state tracking and system type.
-Closed-Loop Frequency Response
Design relations. PID Controller. Lead Compensator. Lag Compensator.
-State-space analysis
State-space representation. The matrix exponential. Conversion from state-space representation to the transfer function. Companion form. Stability analysis. Modal decomposition. Controllability, observability, and Kalman canonical decomposition.
Core Documentation
Main TextbookRoberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Efesto
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Scientifiche Siderea
Additional Textbook
Stefano Panzieri, Chiara Foglietta, Valeria Bonagura, Fondamenti di automatica, Edizioni Efesto, 2024
Giovanni Marro, Controlli Automatici, quarta edizione 1997, Zanichelli.
Attendance
Optional attendanceType of evaluation
Written Examination