ITA | ENG
B025551 - SYSTEM THEORY
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Type of Assessment
Course program
Academic Year 2022-23
Course year
Third year - First Semester
Belonging Department
Industrial Engineering (DIEF)
Course Type
Single education field course
Scientific Area
ING-INF/04 - SYSTEMS AND CONTROL ENGINEERING
Credits
6
Teaching Hours
54
Teaching Term
12/09/2022 ⇒ 16/12/2022
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Teaching Language
Italian
Course Content
Modeling and simulation of dynamical systems.
Analysis of linear systems: behavior, equilibria and stability.
Few on control and estimation.
Analysis of linear systems: behavior, equilibria and stability.
Few on control and estimation.
Suggested readings (Search our library's catalogue)
De Santis, Benvenuti, Farina: "Sistemi dinamici. Modellistica, analisi e controllo", McGraw-Hill, 2009.
Learning Objectives
Knowledge and understanding
Knowledge of mathematical and statistical methods for management engineering (cc1). Understanding the role that different mathematical tools play in problem solving (cc7), their applicability and limits (cc9).
Ability to apply knowledge and understanding
The ability to apply knowledge and understanding to identify, formulate and solve problems relevant for management engineering using specific methods and models for optimization and uncertainty analysis (ca1, ca3).
The ability to choose and apply appropriate analytical and modelling methods, and in particular operational research modelling or practical experimentation supported by statistical methods (ca5, ca8).
Transversal skills:
Development of an adequate expression and technical discussion of own arguments (ct3).
Knowledge of mathematical and statistical methods for management engineering (cc1). Understanding the role that different mathematical tools play in problem solving (cc7), their applicability and limits (cc9).
Ability to apply knowledge and understanding
The ability to apply knowledge and understanding to identify, formulate and solve problems relevant for management engineering using specific methods and models for optimization and uncertainty analysis (ca1, ca3).
The ability to choose and apply appropriate analytical and modelling methods, and in particular operational research modelling or practical experimentation supported by statistical methods (ca5, ca8).
Transversal skills:
Development of an adequate expression and technical discussion of own arguments (ct3).
Prerequisites
Complex numbers, derivative and integral, ordinary difference and differential equations: ANALISI MATEMATICA
Linear algebra, vector and matrices, system of linear equations: GEOMETRIA
Linear algebra, vector and matrices, system of linear equations: GEOMETRIA
Teaching Methods
Lectures and tutorial sessions.
Type of Assessment
Written and oral examination.
The written exam consists of open questions, aimed at verifying:
- knowledge of state-space models;
- capability to analyze behavior, equilibria and stability properties of linear systems;
- capability to analyze reachability and observability properties of linear systems;
- capability to analyze equilibria and local stability properties of non-linear systems;
The oral examination consists of a discussion of the written exam plus a number of questions aimed at verifying the knowledge of dynamical systems models as well as the main analysis tools.
The written exam consists of open questions, aimed at verifying:
- knowledge of state-space models;
- capability to analyze behavior, equilibria and stability properties of linear systems;
- capability to analyze reachability and observability properties of linear systems;
- capability to analyze equilibria and local stability properties of non-linear systems;
The oral examination consists of a discussion of the written exam plus a number of questions aimed at verifying the knowledge of dynamical systems models as well as the main analysis tools.
Course program
1. MODELLING AND SIMULATION
- Dynamical systems models
- Modelling examples, with emphasis on models for engineering management
- Simulation of dynamical systems
2. ANALYSIS OF DYNAMICAL SYSTEMS
- Continuous-time and discrete-time linear systems
- Modes and natural response
- Exponential and power matrix
- Forced response
- Laplace and z transforms
- Equilibria
- Stability of linear systems
- Tools for stability analysis
- Local stability of non-linear systems
3. CONTROL AND ESTIMATION
- Introduction to the problem of control and estimation
- Reachability and observability of linear systems
- Dynamical systems models
- Modelling examples, with emphasis on models for engineering management
- Simulation of dynamical systems
2. ANALYSIS OF DYNAMICAL SYSTEMS
- Continuous-time and discrete-time linear systems
- Modes and natural response
- Exponential and power matrix
- Forced response
- Laplace and z transforms
- Equilibria
- Stability of linear systems
- Tools for stability analysis
- Local stability of non-linear systems
3. CONTROL AND ESTIMATION
- Introduction to the problem of control and estimation
- Reachability and observability of linear systems