Communications: directive radio wave systems and devices (e.g. – With particular circuit – Digital processing
Reexamination Certificate
2007-02-20
2007-02-20
Sotomayor, John B. (Department: 3662)
Communications: directive radio wave systems and devices (e.g.,
With particular circuit
Digital processing
C342S162000
Reexamination Certificate
active
11081192
ABSTRACT:
State estimation of a system having multidimensional parameters, which are unknown, arbitrarily time-varying, but bounded, in addition to state variables, is performed by initializing the state estimate and matrices representing its covariance and bias coefficients which linearly relate initial state estimation errors to the parameter errors. System matrices Φ, Γ, F, G and the mean valueλof unknown, time-varying, but bounded parameters λ are determined. A matrix Λ is generated, representing their physical bounds. The state estimate {circumflex over (x)}(k|k) and matrices M(k|k) and D(k|k), characterizing the effects of measurement errors and parameter uncertainty, are extrapolated to generate {circumflex over (x)}(k+1|k), M(k+1|k), and D(k+1|k). The measurement noise covariance N is determined. The filter gain matrix K is calculated. The state estimate is updated with the filter gain matrix K weighting the measurement z(k+1) and the extrapolated state estimate {circumflex over (x)}(k+1|k) to generate the current system estimate {circumflex over (x)}(k+1|k+1), by minimizing its total mean square error due to measurement errors and parameter uncertainty. The matrices M(k+1|k) and D(k+1|k) are updated with the filter gain matrix K to generate M(k+1|k+1) and D(k+1|k+1).
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Mookerjee Purusottam
Reifler Frank J.
Duane Morris LLP
Lockheed Martin Corporation
Sotomayor John B.
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