Evaluating the performance of virtual sensors

The term virtual sensor refers to a mechanism used for reconstructing missing, or difficult to obtain, measurements from available data. Typically, a signal model is employed as an integral part of all virtual sensors. Virtual sensors are core building blocks in a wide range of technological systems including control, communications, biomedical, radar and environmental. In this paper, we review design trade-offs for virtual sensors. We show that there are fundamental and unavoidable limitations associated with their performance. The results can be utilized to assess the desirability, or otherwise, of using a virtual sensor in a given application. The implications of the results in feedback control are also briefly explored.

[1]  G. Goodwin,et al.  Vectorial sensitivity constraints for linear multivariable systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[2]  G. Zames,et al.  On H ∞ -optimal sensitivity theory for SISO feedback systems , 1984 .

[3]  Graham C. Goodwin,et al.  Trade-offs in linear filter design , 1995, Autom..

[4]  G. Goodwin,et al.  Fundamental design tradeoffs in filtering, prediction, and smoothing , 1997, IEEE Trans. Autom. Control..

[5]  B. Francis,et al.  Sensitivity tradeoffs for multivariable plants , 1985 .

[6]  G. Goodwin,et al.  The class of all stable unbiased state estimators , 1989 .

[7]  Dante C. Youla,et al.  Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output case , 1976 .

[8]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[9]  Robert Kohn,et al.  Exact likelihood of vector autoregressive-moving average process with missing or aggregated data , 1983 .

[10]  J. Freudenberg,et al.  Right half plane poles and zeros and design tradeoffs in feedback systems , 1985 .

[11]  David Q. Mayne,et al.  Limiting performance of optimal linear filters , 1999, Autom..

[12]  Rick H. Middleton,et al.  Trade-offs in linear control system design , 1991, Autom..

[13]  Jie Chen Sensitivity Integral Relations and Design Tradeoffs in Linear Multivariable Feedback Systems , 1993, 1993 American Control Conference.

[14]  T. Kailath,et al.  An innovations approach to least-squares estimation--Part II: Linear smoothing in additive white noise , 1968 .

[15]  H. Akaike,et al.  Comment on "An innovations approach to least-squares estimation, part I: Linear filtering in additive white noise" , 1970 .

[16]  C. Desoer,et al.  Feedback system design: The fractional representation approach to analysis and synthesis , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.