Observer for linear systems under time-varying delayed measurements: Application to a cardiovascular system

This work presents the design of a cascade observer for a linear system that is applicated for state estimation of the cardiovascular system. The system exhibits time-varying delays in the available output. The cascade observer in this work is capable of estimating actual state vector even in the presence of time-varying delays. The structure of the observer consists of m+ 1 subsystems, the first subsystem is an observer that estimates the delayed state vector and the m subsystems will compesate a fraction of the time-delay where the last subsystems estimate the actual state vector. The observer is validated in simulation and applied to estimate the dynamics of the cardiovascular system by obtaining the actual state vector estimatation and the output signal.