Confidence regions and experiment design for non-parametric estimation
Research output: Contribution to conference › Paper › peer-review
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2002. 3930-3935 Paper presented at Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), Orlando, United States.
Research output: Contribution to conference › Paper › peer-review
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TY - CONF
T1 - Confidence regions and experiment design for non-parametric estimation
AU - Heath, W.P.
PY - 2002/8/6
Y1 - 2002/8/6
N2 - When estimating the response of a linear system at a specific frequency under ideal conditions, the presence in the excitation signal of other frequencies has no effect on the bias and variance of the estimate. Nevertheless, such additional excitation may have a detrimental effect on the ability to choose confidence regions. This is discussed for the case of finite data experiments with both white and coloured noise. The choice of confidence regions for plants in closed-loop is also considered. In particular, the legitimate use of a-priori and a-posteriori information is discussed.
AB - When estimating the response of a linear system at a specific frequency under ideal conditions, the presence in the excitation signal of other frequencies has no effect on the bias and variance of the estimate. Nevertheless, such additional excitation may have a detrimental effect on the ability to choose confidence regions. This is discussed for the case of finite data experiments with both white and coloured noise. The choice of confidence regions for plants in closed-loop is also considered. In particular, the legitimate use of a-priori and a-posteriori information is discussed.
U2 - 10.1109/CDC.2001.980490
DO - 10.1109/CDC.2001.980490
M3 - Papur
SP - 3930
EP - 3935
T2 - Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)
Y2 - 4 December 2001 through 7 December 2001
ER -