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The method of extended linearization is proposed for the systematic solution of sliding mode controller design in DC-to-DC power converters of the boost and the buck-boost type. A nonlinear sliding surface with suitable stabilizing properties is synthesized on the basis of the extension of a linear sliding design carried out for the parametrized average linear incremental model of the converter. The obtained feedback strategies lead to asymptotically stable sliding modes with remarkable self-scheduling properties. Simulation examples are presented for illustrative purposes.>
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Sira‐Ramírez et al. (1994) studied this question.
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