The course presents the basic notions and concepts related to the analysis and control of dynamic systems
The aim of the course is to provide understanding, analytical skills and basic design methodologies regarding automatic systems and industrial automation.
The learning outcomes of the course refer to the capacity of
- understanding the main features of the system dynamics;
- knowing the formal representations of continuous-time and discrete-time linear time-invariant dynamic systems
- knowing the structural properties of continuous-time linear time-invariant dynamic systems, with main focus on stability properties
- analyzing several stability properties of a given system;
- verifying structural properties (reachability, observability) of a given system;
- designing stabilizing actions possibly also aimed at improving the dynamics of continuous-time linear time-invariant systems, by means of algebraic feedback;
- designing a state observer in case the system state is not accessible.
The course prerequisites refer to basic elements of the following courses:
Mathematics; Physics, Geometry
The course offers classroom lessons that cover detailed methods for analyzing and controlling dynamic systems, including numerical examples also using the Matlab software environment.
Dynamic systems: types and representations.
Generalized functions for continuous-time and discrete-time systems. Laplace transform: properties, rules, transformation and antitransformation, time limits theorems. Zeta transform: properties, rules, transformation and antitransformation, time limits theorems.
Calculation of transition function for linear stationary systems represented in SISO external form. Transfer function, impulse response, frequency response.
Internal representation and state variables: computation of the transition function.
Structural stability and BIBO stability.
Definitions of reachability and observability: criteria and conditions.
Design of algebraic state-feedback and output-feedback schemes.
Design of the Luenberger state observer.
Effects on the structural properties of the blocks connections and of possible simplifications.
Sergio Rinaldi: Teoria dei sistemi, CLUP, Milano
Michele Aicardi: Appunti di Teoria dei sistemi, Genova
Luca Benvenuti, Alberto De Santis, Lorenzo Farina: Sistemi dinamici, McGraw-Hill
Ricevimento: By taking an appointment with the teacher (simona.sacone@unige.it)
SIMONA SACONE (President)
CECILIA CATERINA PASQUALE
SILVIA SIRI (President Substitute)
https://corsi.unige.it/en/corsi/10716/studenti-orario
The student must undergo a compulsory written examination. An additional oral exam can be done but it is not mandatory.
During the exam the student has to solve numerical exercises and to explain the theoretical notions necessary for their solution
Students with certified DSA, disabilities, or other special educational needs are advised to contact the teacher at the beginning of the course to agree on assessment methods considering individual learning needs while respecting the teaching objectives.
