A Three-Tier Time-Scale Architecture for Controlling Complex Nonlinear Systems

TL;DR

This paper introduces a three-tier computational architecture designed to enable real-time control of complex nonlinear systems, addressing limitations of existing methods through a layered approach with distinct roles and information flow.

Contribution

It presents a novel three-tier architecture that combines offline, meso-scale, and real-time computation for controlling complex nonlinear systems.

Findings

Enables real-time control of complex nonlinear PDE systems.

Addresses limitations of single- and two-time-scale approaches.

Provides a practical systems-level control paradigm.

Abstract

This letter proposes a three-tier computational architecture for the real-time control of nonlinear complex systems, such as time-dependent PDEs. There is an important class of such problems for which existing single- and two-time-scale approaches are fundamentally insufficient due to lack of a priori system knowledge, computational complexity, model fidelity requirements, and uncertainty. The proposed architecture consists of an offline, meso-scale, and real-time layer of computation, with distinct roles for each layer and specific information flow between them. The result is a practical systems-level paradigm that enables real-time operation of complex nonlinear control problems.