Modeling for Process Control: High-Dimensional Systems

Lev S. Tsimring

关键词: EXCITATION;    GRANULAR MATERIALS;    PROCESS CONTROL;    PROCESSING;    SIMULATION Nonlinear dynamics;    pattern formation;    granular materials;    modeling;    spatio-temporal systems;    control;   

DOI  :  10.2172/937090
RP-ID  :  DOE/ER/14138-1
PID  :  OSTI ID: 937090
Others  :  TRN: US201003%%182

美国|英语

来源: SciTech Connect

【 摘 要 】

Most of other technologically important systems (among them, powders and other granular systems) are intrinsically nonlinear. This project is focused on building the dynamical models for granular systems as a prototype for nonlinear high-dimensional systems exhibiting complex non-equilibrium phenomena. Granular materials present a unique opportunity to study these issues in a technologically important and yet fundamentally interesting setting. Granular systems exhibit a rich variety of regimes from gas-like to solid-like depending on the external excitation. Based the combination of the rigorous asymptotic analysis, available experimental data and nonlinear signal processing tools, we developed a multi-scale approach to the modeling of granular systems from detailed description of grain-grain interaction on a micro-scale to continuous modeling of large-scale granular flows with important geophysical applications.