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This paper presents a functional state estimation method for a bilinear system fed by unknown inputs. The main goal of this contribution concerns the simultaneous state and unknown input estimation in time domain. This is done through the synthesis of a functional observer. It is shown, also, that the observer gains are solutions of a set of linear matrix inequalities. Our approach is tested on an electromechanical actuator example to confirm the performances of the proposed functional observer.
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Wejdene et al. (2024) studied this question.
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