Sampled-data stabilization via Round-Robin scheduling: A direct Lyapunov-Krasovskii approach - Archive ouverte HAL
Communication Dans Un Congrès Année : 2011

Sampled-data stabilization via Round-Robin scheduling: A direct Lyapunov-Krasovskii approach

Résumé

This paper studies stabilization of networked control systems with communication constraints, variable sampling interval and delay. We focus on static output feedback controllers for linear systems. The system sensors nodes are supposed to be distributed over a network. Data transmission over the network is subject to the Round-Robin scheduling protocol. We present the closed-loop system as a switched system with multiple delayed samples. By constructing an appropriate time-dependent Lyapunov functional, which takes into account the switched system model and the sawtooth delays induced by sampled-data control, we derive the exponential stability conditions in terms of Linear Matrix Inequalities (LMIs). Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the classical cart-pendulum benchmark problem.
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Dates et versions

hal-00685179 , version 1 (04-04-2012)

Identifiants

  • HAL Id : hal-00685179 , version 1

Citer

Kun Liu, Emilia Fridman, Laurentiu Hetel, Jean-Pierre Richard. Sampled-data stabilization via Round-Robin scheduling: A direct Lyapunov-Krasovskii approach. IFAC'11, 18th IFAC World Congress, Aug 2011, Milano, Italy. pp.10.3182/20110828-6-IT-1002.02528. ⟨hal-00685179⟩
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