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Stability of LTI systems with distributed sensors and aperiodic sampling

Abstract : This chapter is dedicated to the stability analysis of sampled-data linear time invariant systems with asynchronous sensors and aperiodic sampling. The study is performed using an input/output interconnection modelling, and tools from the robust control theory. Two approaches are presented. One is based on the small gain theorem, while the other is based on the dissipativity theory. Tractable stability criteria that allow an estimation of the Maximal Admissible Sampling Period are obtained for both approaches. Finally, experimental results performed on an inverted pendulum benchmark are presented. They confirm the applicability of both approaches and allow for some comparisons between both results.
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https://hal.inria.fr/hal-01689253
Contributor : Christophe Fiter <>
Submitted on : Monday, July 9, 2018 - 10:05:03 AM
Last modification on : Friday, December 11, 2020 - 6:44:07 PM
Long-term archiving on: : Tuesday, October 2, 2018 - 7:41:02 AM

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Christophe Fiter, Taki-Eddine Korabi, Lucien Etienne, Laurentiu Hetel. Stability of LTI systems with distributed sensors and aperiodic sampling. Control subject to Computational and Communication Constraints: Current Challenges, Lecture Notes in Control and Information Sciences, Springer, 2018. ⟨hal-01689253⟩

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