Optimization under uncertainty in the era of big data and deep learning: When machine learning meets mathematical programming

C Ning, F You - Computers & Chemical Engineering, 2019 - Elsevier
This paper reviews recent advances in the field of optimization under uncertainty via a
modern data lens, highlights key research challenges and promise of data-driven …

The scenario approach: A tool at the service of data-driven decision making

MC Campi, A Carè, S Garatti - Annual Reviews in Control, 2021 - Elsevier
In the eyes of many control scientists, the theory of the scenario approach is a tool for
determining the sample size in certain randomized control-design methods, where an …

Flexible spacing adaptive cruise control using stochastic model predictive control

D Moser, R Schmied, H Waschl… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper proposes a stochastic model predictive control (MPC) approach to optimize the
fuel consumption in a vehicle following context. The practical solution of that problem …

A general scenario theory for nonconvex optimization and decision making

MC Campi, S Garatti… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The scenario approach is a general methodology for data-driven optimization that has
attracted a great deal of attention in the past few years. It prescribes that one collects a …

Wait-and-judge scenario optimization

MC Campi, S Garatti - Mathematical Programming, 2018 - Springer
We consider convex optimization problems with uncertain, probabilistically described,
constraints. In this context, scenario optimization is a well recognized methodology where a …

Optimal capacity design and operation of energy hub systems

S Geng, M Vrakopoulou, IA Hiskens - Proceedings of the IEEE, 2020 - ieeexplore.ieee.org
This article takes an integrated view of optimized capacity design and operation of islanded
energy hubs. We consider energy hubs that incorporate emerging distributed energy …

A two-stage chance constrained volt/var control scheme for active distribution networks with nodal power uncertainties

FU Nazir, BC Pal, RA Jabr - IEEE Transactions on Power …, 2018 - ieeexplore.ieee.org
Volt/var control (VVC) is one of the primary functions of the distribution management system
aiming at optimum operation of power distribution networks while respecting all of their …

Data-driven safety verification of stochastic systems via barrier certificates: A wait-and-judge approach

A Salamati, M Zamani - Learning for Dynamics and Control …, 2022 - proceedings.mlr.press
We provide a data-driven approach equipped with a formal guarantee for verifying the safety
of stochastic systems with unknown dynamics. First, using a notion of barrier certificates, the …

Data-driven controller synthesis of unknown nonlinear polynomial systems via control barrier certificates

A Nejati, B Zhong, M Caccamo… - Learning for Dynamics …, 2022 - proceedings.mlr.press
In this work, we propose a data-driven approach to synthesize safety controllers for
continuous-time nonlinear polynomial-type systems with unknown dynamics. The proposed …

[HTML][HTML] Data-driven abstraction-based control synthesis

M Kazemi, R Majumdar, M Salamati, S Soudjani… - Nonlinear Analysis …, 2024 - Elsevier
This paper studies formal synthesis of controllers for continuous-space systems with
unknown dynamics to satisfy requirements expressed as linear temporal logic formulas …