Cautious model predictive control using gaussian process regression

L Hewing, J Kabzan… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Gaussian process (GP) regression has been widely used in supervised machine learning
due to its flexibility and inherent ability to describe uncertainty in function estimation. In the …

Distributionally robust control of constrained stochastic systems

BPG Van Parys, D Kuhn, PJ Goulart… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
We investigate the control of constrained stochastic linear systems when faced with limited
information regarding the disturbance process, ie, when only the first two moments of the …

Data-driven safe control of uncertain linear systems under aleatory uncertainty

H Modares - IEEE Transactions on Automatic Control, 2023 - ieeexplore.ieee.org
Safe control of constrained uncertain linear systems under aleatory uncertainty is
considered. Aleatory uncertainty characterizes random noises and is modeled by a …

Chance-constrained optimization for nonconvex programs using scenario-based methods

Y Yang, C Sutanto - ISA transactions, 2019 - Elsevier
This paper presents a scenario-based method to solve the chance-constrained optimization
for the nonconvex program. The sample complexity is first developed to guarantee the …

Stochastic model predictive control with discounted probabilistic constraints

S Yan, P Goulart, M Cannon - 2018 European Control …, 2018 - ieeexplore.ieee.org
This paper considers linear discrete-time systems with additive disturbances, and designs a
Model Predictive Control (MPC) law to minimise a quadratic cost function subject to a …

Stochastic MPC with dynamic feedback gain selection and discounted probabilistic constraints

S Yan, PJ Goulart, M Cannon - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
This article considers linear discrete-time systems with additive disturbances and designs a
model predictive control (MPC) law incorporating a dynamic feedback gain to minimize a …

Control problems on infinite horizon subject to time-dependent pure state constraints

V Basco - Mathematics of Control, Signals, and Systems, 2024 - Springer
In the last decades, control problems with infinite horizons and discount factors have
become increasingly central not only for economics but also for applications in artificial …

Output-feedback control of unknown linear discrete-time systems with stochastic measurement and process noise via approximate dynamic programming

JS Wang, GH Yang - IEEE transactions on cybernetics, 2017 - ieeexplore.ieee.org
This paper studies the optimal output-feedback control problem for unknown linear discrete-
time systems with stochastic measurement and process noise. A dithered Bellman equation …

Data-driven safe control of linear systems under epistemic and aleatory uncertainties

H Modares - arXiv preprint arXiv:2202.04495, 2022 - arxiv.org
Safe control of constrained linear systems under both epistemic and aleatory uncertainties is
considered. The aleatory uncertainty characterizes random noises and is modeled by a …

On infinite dimensional linear programming approach to stochastic control

M Kamgarpour, T Summers - IFAC-PapersOnLine, 2017 - Elsevier
We consider the infinite dimensional linear programming (inf-LP) approach for solving
stochastic control problems. The inf-LP corresponding to problems with uncountable state …