MOCOA : Methods of Optimal Control, Optimization and Applications

About the team : Research reports and theses Theme : 4 Simulation and optimization of complex systems Rocquencourt research unit

MOCOA has been dissolved on 12/31/2000
It has been replaced by SYDOCO

Team Presentation

The central research theme concerns the optimization of dynamical systems using algorithms that make the best of the structure of the problem at hand. Algorithms of special interest are those based on dynamic programming, Hamilton-Jacobi-Bellman equations, and shooting methods.
This theme includes aspects pertaining to optimal design and robustness, and involves numerical integration methods for ordinary differential equations and nonlinear programming.

Research themes

• Dynamic optimization in continuous time This core theme of research is developed in collaboration with project ALADIN. It is centered on shooting methods and the numerical solution of the HJB equation.
  • Optimal control of algebraic-differential equations.
  • Numerical solution of the HJB equation with constraints on the state.
  • Software architecture.
• Model simplification and uncertain models This theme concerns topics in connection with uncertainty or approximations in models. The necessity of dimensional reduction, which is particularly pressing for dynamic programming algorithms, is one of the aspects, together with developments in robust analysis to take into account the uncertainty in models.
  • Singular perturbations and sensitivity analysis.
  • Robustness.
• Numerical algorithms This theme includes interior points algorithms, decomposition methods for dynamic optimization, and questions connected to the resolution of variational inequalities. Dynamic optimization, two-level optimization and decomposition. Algorithms for the solution of variational inequalities. Interior points and shooting method.
• Collaboration with Renault and CNET

International and industrial relations

• Collaboration with Renault and CNET
• Joint work with Georgia Institute of Technology, the University of Chile, the University of Canrabrie, the University Paul Sabatier (Toulouse), and the University of Orléans.

Scientific leader

Frédéric BONNANS
+33 1 39 63 55 57
Frederic.Bonnans@inria.fr
Secretary : +33 1 39 63 54 81