H. Siraramirez et M. Riosbolivar, SLIDING MODE CONTROL OF DC-TO-DC POWER CONVERTERS VIA EXTENDED LINEARIZATION, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 41(10), 1994, pp. 652-661
The method of Extended Linearization is proposed for the systematic so
lution 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 ex
tension of a Linear sliding design carried out for the parametrized av
erage linear incremental model of the converter. The obtained feedback
strategies lead to asymptotically stable sliding modes with remarkabl
e self-scheduling properties. Simulation examples are presented for il
lustrative purposes.