Abstract. This paper deals with a Luenberger Observer structure which is devoted to the identification of state variables of a Linear Time Invariant (LTI) system. In particular, a disturbance acting as an unknown input is estimated under the hypothesis of quasi-stationarity and the phenomenon of peaking is minimised using a weighting step function. Without loosing the generality, a system of the second order is taken into consideration and a constructive proposition is proven.

Received: February 7, 2016

AMS Subject Classification: 49K15, 93B10, 93B07

Key Words and Phrases: problems involving ordinary differential equations, canonical structure, observability

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