Summary: This paper extends the notion of geometric control in algebraic \(K\)-theory from additive categories with split exact sequences to other exact structures. In particular, we construct exact categories of modules over a Noetherian ring filtered by subsets of a metric space and sensitive to the large scale properties of the space. The algebraic \(K\)-theory of these categories is related to the bounded \(K\)-theory of geometric modules of Pedersen and Weibel the way \(G\)-theory is classically related to \(K\)-theory. We recover familiar results in the new setting, including the nonconnective bounded excision and equivariant properties. We apply the results to the \(G\)-theoretic Novikov conjecture which is shown to be stronger than the usual \(K\)-theoretic conjecture.