Micro-Macro Secure Control of Infinite-Dimensional Transport Systems

Introduction

Although "transport" may imply different notions for different scientific fields, the feature of incorporation of interacting system components through which "information" is propagated remains invariant. Biological transport systems is an example whose significance has become evident with the recent outbreak of COVID-19 spreading. Blood transport in cardiovascular systems falls also under this category.

Urgent Need for Efficient Strategies

The urgent need for the design of efficient/safe epidemic spreading suppression and congested blood transport monitoring strategies is apparent, considering the potential significant socioeconomic impact.

Challenges in Development

However, the continuum, spatiotemporally-varying nature of such interconnected systems, in addition to dynamic complexity and limited available control authority, hampers the development of systematic feedback control design and analysis methodologies.

C-NORA Framework

C-NORA aims at the introduction of a pioneering holistic framework for systematic, computationally tractable control design and analysis of large-scale, interacting, distributed parameter transport systems, which:

1. Harmonizes control at micro-macro levels.
2. Accounts in design for all essential dynamic phenomena.
3. Compensates adverse effects of limited control authority in design.
4. Develops ad hoc tools for system-specific analysis.

Demonstration and Validation

C-NORA's new control design and analysis tools will be demonstrated in distributed parameter, epidemiological/cardiovascular transport systems and will be validated in numerical simulation.

Risks and Scientific Gain

C-NORA's high risk lies in the unification and complexity of heterogeneous, unexplored infinite-dimensional systems, whose treatment requires rethinking of fundamental control-theoretic tools.

C-NORA's high scientific gain lies in that, on the way of executing its key ideas, novel, interdisciplinary concepts and groundbreaking control/analysis methodologies will be introduced, while unprecedented research arenas will open for systems and control, transport, mathematicians, and systems biologists.