: A new method for the design of reduced-order observers for descriptor systems with unknown inputs is presented. The approach is based on the generalized constrained Sylvester equation. Sufficient conditions for the existence of the observer are given.
parametrizations methods for all unknown input observers are presented, the first one is based on the matrix fraction description (MFD) and the second one is developed in RH ∞ . The LTR for both minimum and non-minimum phase systems are considered. An exact recovery, based on the unknown input observer, is provided for minimum phase systems. For non-minimum phase systems, an approximate recovery is obtained by minimizing the H ∞ norm of the recovery matrix.
In this note, we present a new design of unknown input observers. Necessary and sufficient conditions are given for the existence of this observer for both minimum and non-minimum phase systems. This unknown input observer design is closely related to an exact model matching problem.
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