Data-Driven Approximated Optimal Control of Sulfur Flotation Process

Intelligent Control for Flotation Process

In the flotation process, the concentrate grade and the tailing grade are crucial technical indices which reflect the product quality and efficiency. There are strong nonlinearity and uncertainty in such technical indices dynamic behaviors, which can hardly be described using accurate mathematical model. The technical indices which cannot be measured online continuously vary with boundary condi...

L∞-Estimates For Approximated Optimal Control Problems

An optimal control problem for a 2-d elliptic equation is investigated with pointwise control constraints. This paper is concerned with discretization of the control by piecewise linear functions. The state and the adjoint state are discretized by linear finite elements. Approximation of order h in the L-norm is proved in the main result.

Data-Driven Optimal Control for Adaptive Optics

Approximated Analytical Solution to an Ebola Optimal Control Problem

An analytical expression for the optimal control of an Ebola problem is obtained. The analytical solution is found as a first-order approximation to the Pontryagin Maximum Principle via the Euler–Lagrange equation. An implementation of the method is given using the computer algebra system Maple. Our analytical solutions confirm the results recently reported in the literature using numerical met...

Data-driven Optimal Transport

The problem of optimal transport between two distributions ρ(x) and μ(y) is extended to situations where the distributions are only known through a finite number of samples {xi} and {yj}. A weak formulation is proposed, based on the dual of Kantorovitch’s, with two main modifications: replacing the expected values in the objective function by their empirical means over the {xi} and {yj}, and re...