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arXiv · 2003.04695

On the sensitivity of the H-infinity norm of systems described by delay differential algebraic equations

Suat Gumussoy·Wim Michiels
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Abstract

We consider delay differential algebraic equations (DDAEs) to model interconnected systems with time-delays. The DDAE framework does not require any elimination techniques and can directly deal with any interconnection of systems and controllers with time-delays. In this framework, we analyze the properties of the H-infinity norm of systems described by delay differential algebraic equations. We show that the standard H-infinity norm may be sensitive to arbitrarily small delay perturbations. We introduce the strong H-infinity norm which is insensitive to small delay perturbations and describe its properties. We conclude that the strong H-infinity norm is more appropriate in any practical control application compared to the standard H-infinity norm for systems with time-delays whenever there are high-frequency paths in control loops.

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Suat Gumussoy, Wim Michiels. 2020-03-10. On the sensitivity of the H-infinity norm of systems described by delay differential algebraic equations. https://doi.org/10.3182/20110828-6-it-1002.00834

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