ADAPTIVE-OBSERVER FOR CONTINUOUS DESCRIPTOR SYSTEMS

We design an adaptive observer for a stable single-input and single-ou tput continuous descriptor (generalized state-space or singular) syste m. Under the assumption that the descriptor system is observable, it i s transformed into what we call descriptor observer canonical form. Th is form also allows the descriptor variable to be represented by a lin ear combination of the 2n unknown parameters and the filtered input an d output measurement. We also show that the estimates converge to the true values, when the bounded input satisfies the richness condition, under the assumption that the system is controllable.