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Instability conditions for a class of switched linear systems with switching delays based on sampled-data analysis: applications to DC–DC converters

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Abstract

General instability (critical) conditions for a class of switched linear systems (such as DC–DC converters) with switching delays are derived. Many instability conditions for the systems with fixed/variable-switching frequency under various control schemes are also derived. The conditions also show the required ramp slopes to stabilize the converters. Some previously known instability conditions become special cases in this generalized framework. Given an arbitrary control scheme, a systematic procedure is proposed to derive the instability condition for that control scheme. Different control schemes (such as \(V^{2}\) control and voltage/current mode control, for example) are shown to have similar forms of instability conditions.

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  1. Sunplus Technology, No. 19, Innovation 1st Rd., Hsinchu, 300, Taiwan

    Chung-Chieh Fang

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Fang, CC. Instability conditions for a class of switched linear systems with switching delays based on sampled-data analysis: applications to DC–DC converters. Nonlinear Dyn 77, 185–208 (2014). https://doi.org/10.1007/s11071-014-1283-7

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