Dynamical discontinuous feedback strategies in the regulation of nonlinear chemical processes

In this article, a unified approach is proposed for the design of dynamical discontinuous feedback controllers leading to the chattering-free stabilization of nonlinear single-input single-output systems describing chemical processes. The adopted framework is that of a generalized state representation form of the given nonlinear plant. Use is made of the associated generalized observability canonical form of such representation. Unification of discontinuous feedback policies is achieved by zeroing of an input-dependent auxiliary output function using simple discontinuous feedback control paradigms of various kinds. The zeroing of such scaler stabilizing function induces asymptotically stable controlled dynamics on the given nonlinear minimum-phase plant. Pulse-frequency-modulation, pulse-width-modulation and sampled sliding mode control strategies are considered from this unified viewpoint. Examples are provided including simulations