Identification with non-parametric uncertainty

An identification technique that is robust to nonparametric uncertainty (i.e. model mismatch) is presented. The identifier produces both a parameter set estimate and a frequency response set estimate. The estimates result from the inclusion of a model of the nonparametric uncertainty in that plant model. The frequency response set estimate is shown to always contain the frequency response of the plant, as long as certain design conditions are met.<<ETX>>

[1]  E. Fogel System identification via membership set constraints with energy constrained noise , 1979 .

[2]  R. Bitmead,et al.  Adaptive frequency sampling filters , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[3]  Y. F. Huang,et al.  On the value of information in system identification - Bounded noise case , 1982, Autom..

[4]  Karl Johan Åström Analysis of Rohrs counterexamples to adaptive control , 1983 .

[5]  L. Ljung,et al.  Design variables for bias distribution in transfer function estimation , 1986, The 23rd IEEE Conference on Decision and Control.

[6]  Michael Athans,et al.  Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics , 1985 .

[7]  Yih-Fang Huang,et al.  A recursive estimation algorithm using selective updating for spectral analysis and adaptive signal processing , 1986, IEEE Trans. Acoust. Speech Signal Process..

[8]  L. Valavani,et al.  A Frequency-Domain Estimator for Use in Adaptive Control Systems , 1987 .

[9]  R. Kosut Adaptive control via parameter set estimation , 1988 .

[10]  G. Goodwin,et al.  Quantification of Uncertainty in Estimation using an Embedding Principle , 1989 .

[11]  G. Goodwin,et al.  A stochastic embedding approach for quantifying uncertainty in the estimation of restricted complexity models , 1989 .

[12]  John J. Shynk,et al.  Adaptive IIR filtering using parallel-form realizations , 1989, IEEE Trans. Acoust. Speech Signal Process..

[13]  G. Goodwin,et al.  Quantification of Uncertainty in Estimation , 1990 .

[14]  Stephen P. Boyd,et al.  Identification of Systems with Parametric and Nonparametric Uncertainty , 1990, 1990 American Control Conference.

[15]  A. Helmicki,et al.  Identification in H∞: a robustly convergent, nonlinear algorithm , 1990, 1990 American Control Conference.

[16]  Lennart Ljung,et al.  On Estimation of Transfer Function Error Bounds , 1991 .