Hybrid State Observer with Modulated Correction for Periodic Systems under Intrinsic Impulsive Feedback

A new observer structure for hybrid systems comprised of a linear time-invariant subsystem and immeasurable (intrinsic) impulsive feedback is suggested. It brings about significant improvements in the state estimation error settling time in comparison with that of an earlier considered static feedback observer by making use of the weighted output estimation error in the calculation of the discrete part of the observer.