6 papers
Semi-definite relaxations for optimal control problems with oscillation and concentration effects
Mathieu Claeys, Didier Henrion, Martin Kružík
Converging hierarchies of finite-dimensional semi-definite relaxations have been proposed for state-constrained optimal control problems featuring oscillation phe-nomena, by relaxi…
Reconstructing trajectories from the moments of occupation measures
Mathieu Claeys
Moment optimization techniques have been recently proposed to solve globally various classes of optimal control problems. As those methods return truncated moment sequences of occu…
Modal occupation measures and LMI relaxations for nonlinear switched systems control
Mathieu Claeys, Jamal Daafouz, Didier Henrion
This paper presents a linear programming approach for the optimal control of nonlinear switched systems where the control is the switching sequence. This is done by introducing mod…
Optimal switching control design for polynomial systems: an LMI approach
Didier Henrion, Jamal Daafouz, Mathieu Claeys
We propose a new LMI approach to the design of optimal switching sequences for polynomial dynamical systems with state constraints. We formulate the switching design problem as an…
Moment LMI approach to LTV impulsive control
Mathieu Claeys, Denis Arzelier, Didier Henrion +1
In the 1960s, a moment approach to linear time varying (LTV) minimal norm impulsive optimal control was developed, as an alternative to direct approaches (based on discretization o…
Measures and LMI for impulsive optimal control with applications to space rendezvous problems
Mathieu Claeys, Denis Arzelier, Didier Henrion +1
This paper shows how to find lower bounds on, and sometimes solve globally, a large class of nonlinear optimal control problems with impulsive controls using semi-definite programm…