State estimation for nonlinear state-space transmission models of tuberculosis.

Given the high prevalence of tuberculosis (TB) and the mortality rate associated with the disease, numerous models, such as the Gammaitoni and Nucci (GN) model, were developed to model the risk of transmission. These models typically rely on a quanta generation rate as a measurement of infectivity. Since the quanta generation rate cannot be measured directly, the unique contribution of this work is to develop state estimators to estimate the quanta generation rate from available measurements.

Optimized Lockdown Strategies for Curbing the Spread of COVID-19: A South African Case Study.

To curb the spread of COVID-19, many governments around the world have implemented tiered lockdowns with varying degrees of stringency. Lockdown levels are typically increased when the disease spreads and reduced when the disease abates. A predictive control approach is used to develop optimized lockdown strategies for curbing the spread of COVID-19.

Modeling the Airborne Infection Risk of Tuberculosis for a Research Facility in eMalahleni, South Africa.

A detailed mathematical modeling framework for the risk of airborne infectious disease transmission in indoor spaces was developed to enable mathematical analysis of experiments conducted at the Airborne Infections Research (AIR) facility, eMalahleni, South Africa. A model was built using this framework to explore possible causes of why an experiment at the AIR facility did not produce expected results. The experiment was conducted at the AIR facility from August 31, 2015 to December 4, 2015, in which the efficacy of upper room germicidal ultraviolet (GUV) irradiation as an environmental control was tested.

Multivariate economic performance assessment of an MPC controlled electric arc furnace.

Economic performance is very important to advanced process control projects investigating whether the investment of control technology is worthwhile. In this paper economic performance assessment of a simulated electric arc furnace is conducted. The dependence of controlled variables and the corresponding economic impact are highlighted.

When to initiate HIV therapy: a control theoretic approach.

This paper shows an application of control theory to human immunodeficiency virus (HIV)/AIDS models. Minimum singular value decomposition is applied to HIV/AIDS models to measure the extent to which the different stages in the progression of HIV/AIDS disease are controllable and, consequently, when best to initiate therapy such that the general objectives of therapy are satisfied. Simulations will be used to demonstrate the effect of treatment at various stages.