Feedback stabilization of dynamical systems with switched delays
(2012) CDC 2012 — Location: Maui, Hawaii, USA (10.December.2012)
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- Abstract
- We analyze a classification of two main families of controllers that are of interest when the feedback loop is subject to switching propagation delays due to routing via a wireless multi-hop communication network. We show that we can cast this problem as a subclass of classical switching systems, which is a non-trivial generalization of classical LTI systems with timevarying delays. We consider both cases where delay-dependent and delayindependent controllers are used, and show that both can be modeled as switching systems with unconstrained switchings. We provide NP-hardness results for the stability verification problem, and propose a general methodology for approximate stability analysis with arbitrary precision. We finally give evidence that non-trivial design problems arise for which new algorithmic methods are needed
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Citations
Jungers, R., D’Innocenzo, A., & Di Benedetto, M. D. (2012). Feedback stabilization of dynamical systems with switched delays. Proceedings of the 51st IEEE Conference on Decision and Control. Published. CDC 2012, Maui, Hawaii, USA. https://hdl.handle.net/2078.5/252083