L2-gain analysis of regenerative switched linear systems with sampled-data state-feedback control

Abstract

In this paper, we analyze the L2-gain of a class of switched linear systems under sampled-data state-feedback control. We consider switched linear systems whose switching signal is a regenerative process. Using the lifting approach and piecewise-constant approximations, we derive a sequence whose limit inferior upper-bounds the L2-gain of the closed-loop system. Each term of the sequence can be found by solving a linear matrix inequality. We illustrate the results by the L2-gain analysis of a linear system with a failure-prone controller.

DOI: 10.1109/ACC.2016.7524997

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Cite this paper

@inproceedings{Ogura2016L2gainAO, title={L2-gain analysis of regenerative switched linear systems with sampled-data state-feedback control}, author={Masaki Ogura and Masashi Wakaiki and Jo{\~a}o Pedro Hespanha and Victor M. Preciado}, booktitle={ACC}, year={2016} }