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An LMI problem for consistent estimate of innovations model

This paper proposes an LMI problem for consistently estimating Kalman gain K and the covariance of the innovations process Ωe. In the previous papers, the problem of estimating K and Ωe consistently is formulated as a nonlinear optimization problem. It is shown that the problem can be reformulated as an LMI problem by extending the variables and that the solution gives consistent estimates. It is also shown a sufficient condition for the existence of a consistent estimate.