Full-order and reduced-order observers for Lipschitz descriptor systems: the unified LMI approach

This brief considers a new observer design for a class of continuous-time descriptor systems with Lipschitz constraint. Both types of full-order and reduced-order observers are constructed by a unified linear matrix inequality (LMI) approach. Under the sufficient condition in the form of LMI, the errors are guaranteed to be exponentially convergent. An illustrative example is presented to show the effectiveness of the proposed approach.