Nonparametric Tracking of the Time-Varying Dynamics of Weakly Nonlinear Periodically Time-Varying Systems Using Periodic Inputs

@article{Louarroudi2012NonparametricTO,
  title={Nonparametric Tracking of the Time-Varying Dynamics of Weakly Nonlinear Periodically Time-Varying Systems Using Periodic Inputs},
  author={Ebrahim Louarroudi and Rik Pintelon and John Lataire},
  journal={IEEE Transactions on Instrumentation and Measurement},
  year={2012},
  volume={61},
  pages={1384-1394}
}
In this paper, a nonparametric estimation procedure is presented in order to track the evolution of the dynamics of continuous (discrete)-time (non)-linear periodically time-varying (PTV) systems. Multisine excitations are applied to a PTV system since this kind of excitation signals allows us to discriminate between the noise and the nonlinear distortion from a single experiment. The key idea is that a linear PTV system can be decomposed into an (in)finite series of transfer functions, the so… CONTINUE READING
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