Abstract
This paper discusses the problem of modeling time varying system perturbations and its application to observer-based detection filter design in uncertain linear systems. Robustness issues with respect to structured time varying system perturbations are considered. Our basic contribution is that applying differential algebraic methods and matrix lie-algebra in describing the effect of them varying system perturbation, it is possible to construct an extended linear time invariant(LTI) system and associated observer such that the solution of the design problem can be performed using algebraic methods and geometric concepts similar to the case of time invariant situations. At the same time the filter can be made robust with respect to these perturbations.
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