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Networked control and observation for Master-Slave systems

Wenjuan Jiang 1 Alexandre Kruszewski 2 Jean-Pierre Richard 3, 4 Armand Toguyeni 2
1 NECS - Networked Controlled Systems
GIPSA-DA - Département Automatique, Inria Grenoble - Rhône-Alpes
3 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This chapter concerns the design of a remote control loop constituted by a Slave system (with computing and energy limitations) and a Master computer, communicating via an Internet connection. In such a situation, the communication cost is reduced but the Quality of Service of the Internet connection is not guaranteed. In particular, when the Slave dynamics are expected to be fast enough, the network induces perturbations (delays, jitters, packet dropouts and sampling) that may damage the performance. Here, the proposed solution relies on a delay-dependent, state-feedback control, computed by the Master on the basis of an observer. This last estimates the present Slave's state from its past sampled outputs, despite the various delays. Then, the computing task is concentrated in the Master. The theoretical results are based on the Lyapunov-Krasovskii functional and the approach of LMI, which guarantee the stabilization performance with respect to the expected maximum delay of the connection. Two strategies are applied: one is a constant controller/observer gain strategy, which takes into account a fixed upperbound for the communication delay. The second strategy aims at improving the performance by adapting the gains to the available network QoS (here, with two possible upperbounds).
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Wenjuan Jiang, Alexandre Kruszewski, Jean-Pierre Richard, Armand Toguyeni. Networked control and observation for Master-Slave systems. Balachandran, Balakumar; Kalmár-Nagy, Tamás; Gilsinn, David E. (Eds.). Delay Differential Equations: Recent Advances and New Directions, Springer Science + Business Media, pp.31-54, 2009, ⟨10.1007/978-0-387-85594-3⟩. ⟨hal-00519520⟩

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