Abstract: “In this work the design of a Luenberger observer is proposed to estimate the unmeasurable state space variables from Hovorka’s model. This model is linearized and evaluated in an operation point where Luenberger observer is designed using the Ackermann methodology. The observer is employed to estimate the unmeasurable variables of virtual patients which are generated by Bergman’s model. Once the unmeasurable state variables are obtained by the Luenberger observer using only the input-output information of the Bergman’s model, a control algorithm based on eigenvalues relocation trough Ackermann methodology for linear systems is applied. In this methodology, a constant feedback gain vector is obtained in order to compute the control signal (insulin) to be applied to virtual patient and keep on normoglycemia rank. The carbohydrates ingestion is considered as the main disturbances. In order to assess the proposed methodology, two tests are designed: the first one consists of changing the r”

Keywords: Luenberger observer, Bergman model, artificial pancreas, type 1 diabetes