Fast approximate learning-based multistage nonlinear model predictive control using Gaussian processes and deep neural networks

AD Bonzanini, JA Paulson, G Makrygiorgos… - Computers & Chemical …, 2021 - Elsevier
Scenario-based model predictive control (MPC) methods introduce recourse into optimal
control and can thus reduce the conservativeness inherent to open-loop robust MPC …

An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs

M Yano, AT Patera - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
We present a model reduction formulation for parametrized nonlinear partial differential
equations (PDEs). Our approach builds on two ingredients: reduced basis (RB) spaces …

Numerical integration of discontinuous functions: moment fitting and smart octree

S Hubrich, P Di Stolfo, L Kudela… - Computational …, 2017 - Springer
A fast and simple grid generation can be achieved by non-standard discretization methods
where the mesh does not conform to the boundary or the internal interfaces of the problem …

Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws

M Yano - Advances in Computational Mathematics, 2019 - Springer
We present a model reduction formulation for parametrized nonlinear partial differential
equations (PDEs) associated with steady hyperbolic and convection-dominated …

Numerical integration in multiple dimensions with designed quadrature

V Keshavarzzadeh, RM Kirby, A Narayan - SIAM Journal on Scientific …, 2018 - SIAM
We present a systematic computational framework for generating positive quadrature rules
in multiple dimensions on general geometries. A direct moment-matching formulation that …

Model reduction techniques for parametrized nonlinear partial differential equations

NC Nguyen - Error Control, Adaptive Discretizations, and …, 2024 - books.google.com
2. Hyper-reduction methods 2.1 Parametrized integrals 2.2 Empirical quadrature methods
2.3 Empirical interpolation methods 2.4 Integral interpolation methods 3. First-order …

Nonlinear model predictive control with explicit backoffs for stochastic systems under arbitrary uncertainty

JA Paulson, A Mesbah - IFAC-PapersOnLine, 2018 - Elsevier
The majority of work on chance constrained model predictive control (MPC) for stochastic
systems adopts the concept of implicit constraint backoffs for handling state chance …

Stochastic collocation with non-Gaussian correlated process variations: Theory, algorithms, and applications

C Cui, Z Zhang - IEEE Transactions on Components …, 2018 - ieeexplore.ieee.org
Stochastic spectral methods have achieved a great success in the uncertainty quantification
of many engineering problems, including variation-aware electronic and photonic design …

Stability of controllers for gaussian process forward models

J Vinogradska, B Bischoff… - International …, 2016 - proceedings.mlr.press
Learning control has become an appealing alternative to the derivation of control laws
based on classic control theory. However, a major shortcoming of learning control is the lack …

PI-type fully symmetric quadrature rules on the 3-,…, 6-simplexes

G Chuluunbaatar, O Chuluunbaatar, AA Gusev… - … & Mathematics with …, 2022 - Elsevier
We consider fully symmetric quadrature rules with positive weights, and with nodes lying
inside the 3,…, 6 dimensional simplex (so-called PI-type). PI-type fully symmetric quadrature …