The Computation of a Common Quadratic Lyapunov Function for a Linear Control System
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@Article{JICS-2-111,
author = {},
title = {The Computation of a Common Quadratic Lyapunov Function for a Linear Control System},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {2},
number = {2},
pages = {111--118},
abstract = {A computer simulation model, based on theoretical analysis, has been developed to investigate
and quantify how variation of particle shapes can affect the resulting filtration performance. The software
tool geometrically models 3D woven fabrics, interfaces with CFD tools to numerically determine the fluid
flow paths, implements particles of various shapes and sizes, and employs a force model as the foundation of
its capture and positioning mechanisms. When a particle is intercepted by the fabric, the various forces
exerted on it are utilized to predict the particle’s movement over the fabric surface. These forces are derived
from particle-fabric interactions such as friction and normal contact force, as well as particle-fluid
interactions such as drag, buoyancy and particle weight. When these forces are in equilibrium, the particle is
consequently deposited on the fabric. However, the subsequent motion of the particle is also controlled by
particle-particle interactions due to collision and the van der Waals forces between such particles. The
identical filtration process scenario are simulated in this work with different particles of spherical, ellipsoid,
discus and needle shapes. By using the predicted results as the comparison criteria, it is revealed that the
particle shape is a significant parameter that influences the filtration characteristics and the transient
behaviour of cake formation.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22791.html}
}
TY - JOUR
T1 - The Computation of a Common Quadratic Lyapunov Function for a Linear Control System
AU -
JO - Journal of Information and Computing Science
VL - 2
SP - 111
EP - 118
PY - 2024
DA - 2024/01
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22791.html
KW - Filtration, Woven Fabric, CFD, Fabric modelling, Particle packing, Particle shapes
AB - A computer simulation model, based on theoretical analysis, has been developed to investigate
and quantify how variation of particle shapes can affect the resulting filtration performance. The software
tool geometrically models 3D woven fabrics, interfaces with CFD tools to numerically determine the fluid
flow paths, implements particles of various shapes and sizes, and employs a force model as the foundation of
its capture and positioning mechanisms. When a particle is intercepted by the fabric, the various forces
exerted on it are utilized to predict the particle’s movement over the fabric surface. These forces are derived
from particle-fabric interactions such as friction and normal contact force, as well as particle-fluid
interactions such as drag, buoyancy and particle weight. When these forces are in equilibrium, the particle is
consequently deposited on the fabric. However, the subsequent motion of the particle is also controlled by
particle-particle interactions due to collision and the van der Waals forces between such particles. The
identical filtration process scenario are simulated in this work with different particles of spherical, ellipsoid,
discus and needle shapes. By using the predicted results as the comparison criteria, it is revealed that the
particle shape is a significant parameter that influences the filtration characteristics and the transient
behaviour of cake formation.
. (2024). The Computation of a Common Quadratic Lyapunov Function for a Linear Control System.
Journal of Information and Computing Science. 2 (2).
111-118.
doi:
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