Indirect measurements via a polynomial chaos observer

This paper proposes an innovative approach to designing algorithms for indirect measurements based on a polynomial chaos observer (PCO). A PCO allows the introduction and management of uncertainty in a process. The structure of this algorithm is based on the standard closed-loop structure of the observer that is originally introduced by Luenberger. This structure is extended here to formally include uncertainty in the measurement and in the model parameters. Possible applications of this structure are discussed.