Optimal control and applications to aerospace: some results and challenges
E Trélat - Journal of Optimization Theory and Applications, 2012 - Springer
This article surveys the usual techniques of nonlinear optimal control such as the Pontryagin
Maximum Principle and the conjugate point theory, and how they can be implemented …
Maximum Principle and the conjugate point theory, and how they can be implemented …
[HTML][HTML] The turnpike property in finite-dimensional nonlinear optimal control
Turnpike properties have been established long time ago in finite-dimensional optimal
control problems arising in econometry. They refer to the fact that, under quite general …
control problems arising in econometry. They refer to the fact that, under quite general …
Gusto: Guaranteed sequential trajectory optimization via sequential convex programming
Sequential Convex Programming (SCP) has recently seen a surge of interest as a tool for
trajectory optimization. However, most available methods lack rigorous performance …
trajectory optimization. However, most available methods lack rigorous performance …
[BOOK][B] Control of nonholonomic systems: from sub-Riemannian geometry to motion planning
F Jean - 2014 - books.google.com
Nonholonomic systems are control systems which depend linearly on the control. Their
underlying geometry is the sub-Riemannian geometry, which plays for these systems the …
underlying geometry is the sub-Riemannian geometry, which plays for these systems the …
An algorithmic guide for finite-dimensional optimal control problems
We survey the main numerical techniques for finite-dimensional nonlinear optimal control.
The chapter is written as a guide to practitioners who wish to get rapidly acquainted with the …
The chapter is written as a guide to practitioners who wish to get rapidly acquainted with the …
Smooth regularization of bang-bang optimal control problems
Consider the minimal time control problem for a single-input control-affine system ẋ= X (x)+
u 1 Y 1 (x) in R n, where the scalar control u 1 (·) satisfies the constraint lu 1 (·) l≤. When …
u 1 Y 1 (x) in R n, where the scalar control u 1 (·) satisfies the constraint lu 1 (·) l≤. When …
A closer look at quantum control landscapes and their implication for control optimization
P De Fouquieres, SG Schirmer - Infinite dimensional analysis …, 2013 - World Scientific
The control landscape for various canonical quantum control problems is considered. For
the class of pure-state transfer problems, analysis of the fidelity as a functional over the …
the class of pure-state transfer problems, analysis of the fidelity as a functional over the …
Mass transportation on sub-Riemannian manifolds
We study the optimal transport problem in sub-Riemannian manifolds where the cost
function is given by the square of the sub-Riemannian distance. Under appropriate …
function is given by the square of the sub-Riemannian distance. Under appropriate …
Refined analysis of asymptotically-optimal kinodynamic planning in the state-cost space
We present a novel analysis of AO-RRT: a tree-based planner for motion planning with
kinodynamic constraints, originally described by Hauser and Zhou (AO-X, 2016). AO-RRT …
kinodynamic constraints, originally described by Hauser and Zhou (AO-X, 2016). AO-RRT …
Geometric optimal control and applications to aerospace
J Zhu, E Trélat, M Cerf - Pacific Journal of Mathematics for Industry, 2017 - Springer
This article deals with applications of optimal control to aerospace problems with a focus on
modern geometric optimal control tools and numerical continuation techniques. Geometric …
modern geometric optimal control tools and numerical continuation techniques. Geometric …