In this article, the use of variable structure feedback control strategies is proposed for the asymptotic stabilization of nonlinear dynamic systems describing chemical processes. The proposed discontinuous controller is dynamic in nature and it effectively eliminates the traditional bang-bang nature of the control input signals and the associated chattering responses. The controller is based on recent results of the differential algebraic approach to system dynamics; in particular Fliess's generalized observability canonical form is used in the derivation of the dynamical discontinuous controller. Some illustrative examples, including simulations, are provided.