Department of Electrical Engineering

Lecturer	Lotfi MOUSSAOUI
Information	Master - Automatique Department of Electrical Engineering Website : https://www.univ-soukahras.dz/en/module/2900 Semester : S1 Unit : UEF 1.1.1 Credit : 6 Coefficient: 3
Content	Chapter 1. Introduction (2 Weeks) Objectives of this course, Reminder of matrix calculation, Reminder of the notions of the state approach, Difference between SISO and MIMO. Chapter 2. State representation of multivariable systems (SM). (2 weeks) Definitions, Different representations of systems, Resolution of the state equation, Examples of applications Chapter 3. Controllability and Observability. (2 weeks) Introduction, Kalman controllability criterion, Output controllability, Observability criterion, Duality between controllability and observability, Study of some canonical forms. Chapter 4. Representation of SM by transfer matrix. (3 weeks) Introduction, Transition from a state representation to the transfer matrix representation, Gilbert method, Invariant method: Smith-McMillan form, Method by reduction of a realization Chapter 5. Control by SM status feedback. (4 weeks) Formulation of the pole placement problem by state feedback, Calculation methods for multivariable systems, State observer and control by output feedback (i.e. with state observer) of SMs. Non-interactive SM control, Implementation
Evaluation	Contrôle continu: 40% ; Examen: 60%.