3 papers
math.OC2025
Non-linear estimators for the observation and stabilisation of falling liquid films
Oscar Holroyd, Radu Cimpeanu, Susana N. Gomes
Falling liquid films are complex physical processes modelled by infinite-dimensional dynamical systems. The interfacial behaviour is characterised by the Reynolds number, a nondime…
math.OC2024
Stabilisation of falling liquid films with restricted observations
Oscar A. Holroyd, Radu Cimpeanu, Susana N. Gomes
We propose a method to stabilise a solution to equations describing the interface of thin liquid films falling under gravity with a finite number of actuators and restricted observ…
math.OC2023
Linear quadratic regulation control for falling liquid films
Oscar A. Holroyd, Radu Cimpeanu, Susana N. Gomes
We propose and analyse a new methodology based on linear-quadratic regulation (LQR) for stabilising falling liquid films via blowing and suction at the base. LQR methods enable rap…