Expected skills and content of the exam
The examinee is expected to be able to analyze and solve an automation control problem and a problem
involving several fields of physics(electrokinetics,mathematics for physics,wave physics,
electromagnetism,thermodynamics,optics,and mechanics).The exam consists of two parts:an
automation control problem which counts for 50 points,and a physics problem which counts for 100
points.
Engineering Science part(automation control)
I-Modeling of automation systems
1°)Forward chain control
2°)Feedback control
II-Hypotheses related to the study of linear time-invariant(LTI)systems
1°)Continuity
2°)Linearity
3°)Time invariance
III-Performances of LTI systems
1°)Steady-state performances
2°)Transient-state performances
IV-Mathematical tools for the study of LTI systems
1°)Laplace transform of a continuous signal
2°)Modeling by a block diagram
V-Time response
1°)First order systems
2°)Second order systems
3°)Higher order systems
VI-Frequency response
1°)Definition and methods
2°)Frequency plots
3°)Frequency response of some basic systems
4°)Frequency response of other systems
VII-Algebraic methods for the determination of the performances of a LTI system
1°)Stability
2°)Accuracy and robustness
3°)Swiftness and damping
VIII-Determination of the performances of a LTI system from the frequency response of its openloop transfer function
1°)General methodology:Nyquist criterion
2°)Stability
3°)Damping:Nichols chart
4°)Accuracy/robustness and swiftness
IX-Compensation of control systems
1°)Types of controllers(serial,parallel,by anticipation)
2°)Classical controllers
Physics part
I-Electrokinetics
1°)General laws of electrokinetics
2°)Usual theorems of electrokinetics
3°)Transient regimes
4°)Linear circuits used with forced sinusoidal excitations
5°)Transfer function and filtering
6°)Filtering of periodic signals
II-Mathematics for physics presented through steady-state electromagnetism
1°)Charge distribution
2°)Electrostatic field
3°)Current distribution
4°)Magnetostatic field
5°)An electrostatic potential
6°)A vector potential
7°)The electrostatic dipole-The magnetic dipole
III-Wave physics
1°)1-D d’Alembert equation
2°)Synchronous harmonic waves superposition:interferences and resonance
3°)Electromagnetic waves in vacuum
4°)Reflection of an electromagnetic wave off a perfectly conducting medium
5°)Linear propagation phenomenon-dispersion
6°)Propagation of an electromagnetic wave in a real conducting medium-absorption
7°)Reflection and refraction of an electromagnetic wave on a surface
IV-Electromagnetism
1°)Electromagnetism postulates
2°)Energy carried by an electromagnetic wave
3°)Conductive media
4°)Electric dipole radiation
5°)Quasi stationary state approximation
6°)Electromagnetic induction
V-Thermodynamics
1°)Temperature-Description of model fluids
2°)Thermodynamical system at the thermodynamical equilibrium
3°)First law of thermodynamics
4°)Second law of thermodynamics
5°)Heat engines
6°)Phase transition
7°)Transport phenomena:particles diffusion-heat conduction
VI-Optics
1°)Elements of geometrical optics
2°)Wave model of light
3°)Interference phenomena
4°)Spatial and temporal coherences
5°)Michelson interferometer
VII-Mechanics
1°)Newton’s laws of motion
2°)Work,potential energy and kinetic energy
3°)Angular momentum
4°)Linear systems used with forced sinusoidal excitations
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