Optimal and Predictive control (ASI)

Informations générales

  • ECTS

    ECTS 1

Content(s)

1) Recalls
State space representation
The concept of state feedback
Stability
Examples.

2) Introduction to optimal control
Infinite horizon formulation
Bellman principle of optimality
Finite horizon cost formulation
Principle of dynamic programming
Examples.

3) Application to constraint-free linear systems
Linear Quadratic Regulator
The Riccati Equations
Examples.
 
4) Predictive control
Introduction to constraints
Finite horizon predictive control
Stability conditions
Examples.

5) Predictive control of nonlinear systems
Closed loop stability
Control parametrization
Optimization tools
Examples.

6) Complete case study


List of examples from Mechatronics :

Inverted pendulum, tiliting trains, elastic crane, Boeing aircraft, chain of masses linked through springs, automate-manual transmission (AMT), etc.

Prerequisites :
State space and transfer approaches for linear systems, optimisation

Calendar

S1

Additional Information

14 h CM + 2 h DS

French State controlled diploma conferring a Master's degree

diplôme conférant grade de master contrôlé par l'Etat