Abstract
Abstract Discontinuous feedback stabilization of nonlinear systems, expressed in Generalized State representation form, is accomplished by zeroing of a suitable input-dependent manifold. Pulse-Frequency-Modulation, Pulse Width-Modulation and Sampled Sliding Mode Control strategies are treated from a unified viewpoint which naturally arises from fundamental results of the Differential Algebraic approach to systems dynamics and control. The approach naturally leads to dynamical discontinuous feedback policies resulting in (chattering-free) smoothed constrained linearization and induced robust asymptotic output error stabilization. The results are applicable in a variety of nonlinear control problems, including stabilization, tracking, and model matching. Illustrative examples from non-traditional application areas, such as chemical process control and hydraulic systems control, are presented with simulations.
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