Foundations of Statistical Methods for the Control of Far-from-equilibrium Driven Systems
Abstract
The objective of this project is to study the control systems associated with a class of nonequilibrium statistical mechanics phenomena, called far-from-equilibrium driven systems, which arise in several applications from biology to social interactions. Specifically, the project develops control-theoretic mathematical models for non-equilibrium statistical mechanics phenomena, defines new control terminology for far-fromequilibrium driven systems (e.g., new definitions for stability/instability, new definitions for phase control and phase changes), and develops new mathematical tools for the design of control systems that include far-from-equilibrium systems. The goals of the project are: - We will consider the prominent model for far-from-equilibrium systems, called the Totally-Asymmetric Simple Exclusion Process (TASEP). We will consider various feedback control architectures (in terms of sensing and actuation), and we will design control laws that: Alter the phase diagram of the TASEP; Create new phases, or make certain phases disappear from the diagram. - We will define new control terminology that is applicable to many-particle far-from-equilibrium systems. For instance, we will define new mathematical concepts for stability and robustness in the context of control of farfrom- equilibrium systems. - We will consider the feedback control of equilibrium systems that make the system non-equilibrium or far- from- equilibrium. We will also consider the control of non-equilibrium or far-from-equilibrium systems that renders the system equilibrium.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Sep 11, 2018
- Source ID
- W911NF1510249
Entities
People
- Sertac Karaman
Organizations
- Army Contracting Command
- Massachusetts Institute of Technology
- United States Army