Abstract
Necessary and sufficient conditions are derived for the existence of reduced order, steady state, optimal linear state estimators for continuous, linear, dynamical systems when some output measurements are noise free. These conditions are shown to be dual to the generalized, strengthened Legendre-Clebsch conditions for the extremal controls of a dual singular regulator when the order of singularity is at most two. The optimal estimators are designed without the use of Luenberger observers.
Published Version
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