Sliding mode Σ-Δ modulation control of the boost converter

A switched implementation of average dynamic output feedback laws trough a Σ-Δ-modulator, widely known in the classic communications and analog signal encoding literature, not only frees the sliding mode control approach from state measurements and the corresponding synthesis of sliding surfaces in the plant's state space, but it also allows to effectively transfer all desired closed loop features of an uniformly bounded, continuous, average output feedback controller design into the more restrictive discretevalued (ON-OFF) control framework of a switched system. The proposed approach is here used for the input-output sliding mode stabilization of the 'boost' DC-to-DC converter. This is achieved by means of a well known passivity based controller but any other output feedback design would have served our purposes. This emphasizes the flexibility of the proposed sliding mode control design implementation through Σ-Δ-modulators.