Linear identification of nonlinear systems: A lifting technique based on the Koopman operator

@article{Mauroy2016LinearIO,
  title={Linear identification of nonlinear systems: A lifting technique based on the Koopman operator},
  author={Alexandre Mauroy and Jorge Gonçalves},
  journal={2016 IEEE 55th Conference on Decision and Control (CDC)},
  year={2016},
  pages={6500-6505}
}
We exploit the key idea that nonlinear system identification is equivalent to linear identification of the so-called Koopman operator. Instead of considering nonlinear system identification in the state space, we obtain a novel linear identification technique by recasting the problem in the infinite-dimensional space of observables. This technique can be described in two main steps. In the first step, similar to a component of the Extended Dynamic Mode Decomposition algorithm, the data are… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 23 CITATIONS

Nonlinear System Identification of Soft Robot Dynamics Using Koopman Operator Theory

  • 2019 International Conference on Robotics and Automation (ICRA)
  • 2018
VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Consistent Tomography over Diffusion Networks under the Low-Observability Regime

  • 2018 IEEE International Symposium on Information Theory (ISIT)
  • 2018
VIEW 1 EXCERPT
CITES BACKGROUND

DIVIDE-AND-CONQUER TOMOGRAPHY FOR LARGE-SCALE NETWORKS

  • 2018 IEEE Data Science Workshop (DSW)
  • 2018
VIEW 1 EXCERPT
CITES BACKGROUND

References

Publications referenced by this paper.
SHOWING 1-10 OF 12 REFERENCES

A sparse Bay esi n approach to the identification of nonlinear state-space sys tems

W. Pan, Y. Yuan, J. Goncalves, G.-B. Stan
  • IEEE Transactions On Automatic Control , 61(1):182–187,
  • 2016
VIEW 1 EXCERPT

Spectral analysis of nonlinear flows

C. W. Rowley, I. Mezí c, S. Bagheri, P. Schlatter, D. S. Henningson
  • Journal of Fluid Mechanics ,
  • 2009
VIEW 1 EXCERPT

Similar Papers