Journal of Aeronautics & Aerospace Engineering
Open Access

The Overlaps Between the Control Community's Work on System Identification and the Physics on Phase-Space Reconstruction ViaTimeDelay Embedding

9^th International Conference and Exhibition on Satellite & Space Missions

September 11, 2023 | Webinar

Christopher Adeogun

Mountain Top University, Ogun State, Nigeria.

Scientific Tracks Abstracts: J Aeronaut Aerospace Eng

Abstract :

This paper explores the overlaps between the Control community’s work on System Identification (SysID) and the Physics, Mathematics, Chaos, and Complexity communities’ work on phase-space reconstruction via time-delay embedding. There are numerous overlaps between the goals of each community. Nevertheless, the Controls community can gain new insight as well as some new very powerful tools for SysID from the latest developments within the Physics, Mathematics, Chaos, and Complexity communities. These insights are gained via the work on phase-space reconstruction of non-linear dynamics. New methods for discovering non-linear differential based equations that evolved from embedding operations can shed new light on hybridsystems theory, Nyquest-Shannon’s Theories, and network based control theory. This paper strives to guide the Controls community towards a closer inspection of the tools and additional insights being developed within the Physics, Mathematics, Chaos, and Complexity communities for discovery of system dynamics, the rst step in control system development. The paper introduces the concepts of phase-space reconstruction via time-delay embedding (made famous by Whitney, Takens, and Sauer’s Thoreoms), intergrate-and-re embedding, and nonlinear differential equation discovery based on Perona’s method.

Biography :

Christopher O. Adeogun is from Mountain Top University, Ogun State, Nigeria. He has attended too many Conferences