articleSIAM Journal on Applied Dynamical SystemsJan 1, 2016HYBRID OA

Dynamic Mode Decomposition with Control

JLJoshua L. ProctorSLSteven L. BruntonJNJ. Nathan Kutz

Institute for Disease Modeling · Bellevue Hospital Center · +2 more institutions

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Abstract

We develop a new method which extends dynamic mode decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear analysis to nonlinear operator theory, and provides an equation-free architecture which is compatible with compressive sensing. In actuated systems, DMD is incapable of producing an input-output model; moreover, the dynamics and the modes will be corrupted by external forcing. Our new method, dynamic mode decomposition with control (DMDc), capitalizes on all of the advantages of DMD and provides the additional innovation of being able to disambiguate between the underlying…

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1,065
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37.35
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100%
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3

Topics & keywords

Topics
Keywords
  • Dynamic mode decomposition
  • Computer science
  • Nonlinear system
  • Dynamical systems theory
  • Observable
  • Mode (computer interface)
  • Control theory (sociology)
  • System dynamics
UN Sustainable Development Goals
  • Industry, innovation and infrastructure
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