CONTROL SYSTEMS

Course objectives

General objectives The course provides the basic tools for analyzing and designing feedback controllers for linear dynamic systems, using both state-space and input-output descriptions. Specific objectives Knowledge and understanding: Students will learn the basic methods for (1) modeling, (2) analyzing and (3) controlling single input/single output linear systems. Apply knowledge and understanding: Students will be able to analyze and design a control architecture for linear systems. Critical and judgment skills: Students will be able to choose the most suitable functional control architecture for a specific control problem. Communication skills: The course activities will allow students to be able to communicate/share the main problems concerning the definition of the specifications and the design of a control system. Learning ability: The course development aims at giving the student the capacity to design simple control systems in a linear setting.

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LEONARDO LANARI Lecturers' profile

Program - Frequency - Exams

Course program
Analysis of linear systems: Linear dynamical systems. Free evolution (Zero Input response). Asymptotic stability and Routh criterion. Forced evolution (Zero State response). Steady-state and frequency response. Bode diagrams. Interconnected systems. Stability of feedback systems: Nyquist criterion. Structure and requirements in the design of control systems: Compensation and feedback in automatic control examples, structure and fundamental properties. Precision. Steady-state error. Disturbance rejection and attenuation. Transient response. Performance analysis and sensitivity functions. Frequency domain design techniques: Elementary compensators and their realization. Design of compensators based on Bode diagrams. Loop shaping. Root locus design techniques: Root locus and its sketching. Stabilization of minimum-phase systems. Design of minimum-dimension controllers. Direct design techniques: Design by pole assignment. State space design techniques: Structural properties: reachability and observability. Structural decompositions. Eigenvalue assignment. Stabilization via state feedback. Asymptotic observer. Separation principle. Detectability and stabilization via output feedback. Stability of nonlinear systems: Stability definitions according to Lyapunov. The direct method of Lyapunov. Invariant set theorems. The indirect method of Lyapunov. Examples: Examples of application. Design and simulation of control systems via MATLAB/Control System Toolbox and Simulink.
Prerequisites
None
Books
Lecture slides available on the course website.
Exam mode
The written exam consists of several problems and questions on the theory seen during the course.
Lesson mode
Written exam
LEONARDO LANARI Lecturers' profile

Program - Frequency - Exams

Course program
Analysis of linear systems: Linear dynamical systems. Free evolution (Zero Input response). Asymptotic stability and Routh criterion. Forced evolution (Zero State response). Steady-state and frequency response. Bode diagrams. Interconnected systems. Stability of feedback systems: Nyquist criterion. Structure and requirements in the design of control systems: Compensation and feedback in automatic control examples, structure and fundamental properties. Precision. Steady-state error. Disturbance rejection and attenuation. Transient response. Performance analysis and sensitivity functions. Frequency domain design techniques: Elementary compensators and their realization. Design of compensators based on Bode diagrams. Loop shaping. Root locus design techniques: Root locus and its sketching. Stabilization of minimum-phase systems. Design of minimum-dimension controllers. Direct design techniques: Design by pole assignment. State space design techniques: Structural properties: reachability and observability. Structural decompositions. Eigenvalue assignment. Stabilization via state feedback. Asymptotic observer. Separation principle. Detectability and stabilization via output feedback. Stability of nonlinear systems: Stability definitions according to Lyapunov. The direct method of Lyapunov. Invariant set theorems. The indirect method of Lyapunov. Examples: Examples of application. Design and simulation of control systems via MATLAB/Control System Toolbox and Simulink.
Prerequisites
None
Books
Lecture slides available on the course website.
Exam mode
The written exam consists of several problems and questions on the theory seen during the course.
Lesson mode
Written exam
  • Lesson code1044962
  • Academic year2025/2026
  • Coursecorso|33494
  • CurriculumEnergia
  • Year1st year
  • Semester1st semester
  • SSDING-INF/04
  • CFU9
  • Subject areaAttività formative affini o integrative