Improved stability analysis of networked control systems under asynchronous sampling and input delay

Wenjuan Jiang 1 Alexandre Seuret 1
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
Abstract : This article presents a novel approach to assess the stability of linear systems with delayed and sampled-data inputs. It proposes an extension of existing results on the stability of sampled-data systems to the case where a delay is introduced in the control loop. The method is based on a continuous-time modeling of the systems together with the discrete-time Lyapunov theorem, which provides easy tractable sufficient conditions for asymptotic stability. Those conditions cope the problem of stability under asynchronous samplings and time-varying delays. The period and delay-dependent conditions are expressed using computable linear matrix inequalities. Several examples show the efficiency of the stability criteria.
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Wenjuan Jiang, Alexandre Seuret. Improved stability analysis of networked control systems under asynchronous sampling and input delay. 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), Sep 2010, Annecy, France. pp.073. ⟨hal-00515425⟩

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