Convex optimization for trajectory generation: A tutorial on generating dynamically feasible trajectories reliably and efficiently

D Malyuta, TP Reynolds, M Szmuk… - IEEE Control …, 2022 - ieeexplore.ieee.org
Reliable and efficient trajectory generation methods are a fundamental need for
autonomous dynamical systems. The goal of this article is to provide a comprehensive …

Convex optimization for trajectory generation

D Malyuta, TP Reynolds, M Szmuk, T Lew… - arxiv preprint arxiv …, 2021 - arxiv.org
Reliable and efficient trajectory generation methods are a fundamental need for
autonomous dynamical systems of tomorrow. The goal of this article is to provide a …

Risk-averse trajectory optimization via sample average approximation

T Lew, R Bonalli, M Pavone - IEEE Robotics and Automation …, 2023 - ieeexplore.ieee.org
Trajectory optimization under uncertainty underpins a wide range of applications in robotics.
However, existing methods are limited in terms of reasoning about sources of epistemic and …

Sample average approximation for stochastic programming with equality constraints

T Lew, R Bonalli, M Pavone - SIAM Journal on Optimization, 2024 - SIAM
We revisit the sample average approximation (SAA) approach for nonconvex stochastic
programming. We show that applying the SAA approach to problems with expected value …

Covariance steering for systems subject to unknown parameters

JW Knaup, P Tsiotras - … 62nd IEEE Conference on Decision and …, 2023 - ieeexplore.ieee.org
This work considers the optimal covariance steering problem for stochastic systems subject
to both additive noise and uncertain parameters which may enter multiplicatively with the …

Mean-covariance steering of a linear stochastic system with input delay and additive noise

G Velho, R Bonalli, J Auriol… - 2024 European Control …, 2024 - ieeexplore.ieee.org
In this paper, we introduce a novel approach to solve the (mean-covariance) steering
problem for a fairly general class of linear continuous-time stochastic systems subject to …

[PDF][PDF] Uncertainty Quantification based Trajectory Optimization via Ensemble Pseudospectral Optimal Control Software (EPOCS)

A Selim, I Ozkol - 12th Ankara International Aerospace …, 2023 - researchgate.net
ABSTRACT A tailored optimal control software package is developed based on ensemble
optimal control theory, desensitized ensemble optimal control, contraction metrics and …

A Gradient Descent-Ascent Method for Continuous-Time Risk-Averse Optimal Control

G Velho, J Auriol, R Bonalli - arxiv preprint arxiv:2306.12878, 2023 - arxiv.org
In this paper, we consider continuous-time stochastic optimal control problems where the
cost is evaluated through a coherent risk measure. We provide an explicit gradient descent …

Rough Stochastic Pontryagin Maximum Principle and an Indirect Shooting Method

T Lew - arxiv preprint arxiv:2502.06726, 2025 - arxiv.org
We derive first-order Pontryagin optimality conditions for stochastic optimal control with
deterministic controls for systems modeled by rough differential equations (RDE) driven by …

Non-parametric learning of stochastic differential equations with fast rates of convergence

R Bonalli, A Rudi - 2024 - hal.science
We propose a novel non-parametric learning paradigm for the identification of drift and
diffusion coefficients of non-linear stochastic differential equations, which relies upon …