High-order quadrature on multi-component domains implicitly defined by multivariate polynomials

RI Saye - Journal of Computational Physics, 2022 - Elsevier
A high-order quadrature algorithm is presented for computing integrals over curved surfaces
and volumes whose geometry is implicitly defined by the level sets of (one or more) …

Robust optimization for MPC

B Houska, ME Villanueva - Handbook of model predictive control, 2019 - Springer
This chapter aims to give a concise overview of numerical methods and algorithms for
implementing robust model predictive control (MPC). We introduce the mathematical …

Towards rigorous robust optimal control via generalized high‐order moment expansion

B Houska, JC Li, B Chachuat - Optimal Control Applications …, 2018 - Wiley Online Library
This study is concerned with the rigorous solution of worst‐case robust optimal control
problems having bounded time‐varying uncertainty and nonlinear dynamics with affine …

Global optimization in Hilbert space

B Houska, B Chachuat - Mathematical programming, 2019 - Springer
We propose a complete-search algorithm for solving a class of non-convex, possibly infinite-
dimensional, optimization problems to global optimality. We assume that the optimization …

Computing ellipsoidal robust forward invariant tubes for nonlinear MPC

ME Villanueva, JC Li, X Feng, B Chachuat, B Houska - IFAC-PapersOnLine, 2017 - Elsevier
Min-max differential inequalities (DIs) can be used to characterize robust forward invariant
tubes with convex cross-section for a large class of nonlinear control systems. The …

Sensitivity analysis of uncertain dynamic systems using set-valued integration

ND Peric, ME Villanueva, B Chachuat - SIAM Journal on Scientific Computing, 2017 - SIAM
We present an extension of set-valued integration to enable efficient sensitivity analysis of
parameter-dependent ordinary differential equation (ODE) systems, using both the forward …

Branch-and-lift algorithm for obstacle avoidance control

X Feng, ME Villanueva, B Chachuat… - 2017 IEEE 56th …, 2017 - ieeexplore.ieee.org
Obstacle avoidance problems are a class of non-convex optimal control problems for which
derivative-based optimization algorithms often fail to locate global minima. The goal of this …

A connected component labeling algorithm for implicitly defined domains

RI Saye - … in Applied Mathematics and Computational Science, 2023 - msp.org
A connected component labeling algorithm is developed for implicitly defined domains
specified by multivariate polynomials. The algorithm operates by recursively subdividing the …

A connected component labeling algorithm for implicitly-defined domains

RI Saye - arxiv preprint arxiv:2205.14885, 2022 - arxiv.org
A connected component labeling algorithm is developed for implicitly-defined domains
specified by multivariate polynomials. The algorithm operates by recursively subdividing the …

Optimizing cuckoo feature selection algorithm with the new initialization strategy and fitness function

Y Wang, Z Li, H Yu, L Deng - International Conference on Cloud …, 2018 - Springer
In machine learning and data mining tasks, feature selection is an important process of data
preprocessing. Recent studies have shown that Binary Cuckoo Search Algorithm for Feature …