Esisar rubrique Formation 2022

feedforward and feedback optimal control for linear systems - 4AMAC431

  • Number of hours

    • Lectures 12.0
    • Projects -
    • Tutorials 6.0
    • Internship -
    • Laboratory works 9.0
    • Written tests -


    ECTS 2.5


We study a different control design methodology, one which is based on optimization. Control design objectives are formulated in terms of a cost criterion. The optimal control law is the one which minimizes the cost criterion. One of the most remarkable results in linear control theory and design is that if the cost criterion is quadratic, and the optimization is over an infinite horizon, the resulting optimal control law has many nice properties (like the robust properties), including that of closed loop stability.




Minimization of Static Cost Functions
Principles for Optimal Control
Path Constraints and Numerical Optimization
Stability of Dynamic Systems
Linear-Quadratic Regulators
Cost Functions and Controller Structures
Linear-Quadratic Control System Design
Linear-Optimal Estimation for Discrete-Time Systems
Linear-Optimal Estimation for Continuous-Time Systems
Linear-Quadratic-Gaussian Controllers


AC320 et AC421


N1 = cession normale
N2 = rattrapage
Exam = 1 examen à la fin du cours
Calculatrices autorisées + 1 feuille A4 R/V manuscrite, durée 1h30.
TP = Notations des comptes rendus


The course exists in the following branches:

  • Curriculum - EIS - Semester 7
see the course schedule for 2022-2023

Additional Information

Course ID : 4AMAC431
Course language(s): FR

The course is attached to the following structures:

You can find this course among all other courses.


J.F. Bonnans et P. Rouchon, Commande et optimisation de systèmes dynamiques, Editions de l'Ecole Polytechnique, 2005 (ISBN 2730212515)