Control Engineering (2 ECTS): LC : 10h, TC: 5h, LW: 5h
Coordinator: Denis Perret
Teacher: Denis Perret
- linear systems, transfer functions
- Laplace transform
- transfer function
- Fourier series
- Fourier transform
- Frequency-domain analysis of linear systems
- Analysis of linear feed back systems
- stability analysis: Routh-Hurwitz criterion, gain margin, phase margin
- risetime, overshoot, velocity error, position error.
- controllers: proportionnal, integral, derivative, phase correctors.
- Analysis of non linear systems (useful?)
- saturation, hysteresis, harmonic balance…
- Analysis of discrete-time signals
- Spectral analysis, Nyquist Shannon sampling theorem.
- Z transform
- Discrete-time equivalents to continous-time systems
- Stability and performance of discrete-time systems
- stability criterions, position and velocity errors, dynamic performances.
- discrete-time control systems
- pole placement
- discretization of continous-time controllers
- polynomial-based method
- State-space representation of continuous-time systems
- State variables
- State-space equations
- State-transition matrix
- Controllability, observability
- Relationship transfer function and state-space representation
- State-space representation of discrete-time systems
- same as above but discrete-time
- State feedback control
- principles, pole placement
- observer, estimator, predictor
- Kalman filter
- Linear-quadratic-gaussian control.
- Tutorial:
- Design of basic controllers.
- Lab work:
Students should have some prerequisites in signal theory.
