Informations générales
ECTSECTS
2
Goal(s)
Give some basis of modelling and control of physical systems through state space representations.
Skills: get some knowledges
Content(s)
1 Introduction: Why study state-space systems ?
2 Modelling of dynamical systems
Some physical examples, linear and non linear equations, Linearisation around steady state operations, equivalence with transfer functions, canonical forms, solution of state space equations.
3 Properties
non unicity, , stability, controllability, observability, Kalman decomposition.
4 State feedback control : Definition, pole placement control
5 Observer : Observer design, observer-based controller, separation principle, disturbance rejection
6 Integral Control
7 Some features of discrete-time systems
Z-transform, poles/zeros, stability, state space equations and properties
8 Towards computer controller systems
Choice of sampling period, stability, Approximating Continuous - Time Controllers
Implementation of Digital Controllers
Prerequisites :
Linear Algebra, Transfer functions
Test
DS 2 h + Contrôle Continu
Calendar
S2
Additional Information
28h =12 h CM + 14 h BE + 2 hDS
Bibliography
Modern Control Systems, R.Dorf, prentice hall, 2005
Feedback Control of Dynamic Systems, by Gene F. Franklin
J. David Powell, Abbas Emami-Naeini, Prentice hall, 2005
French State controlled diploma conferring a Master's degree
