A switched system approach to exponential stabilization through communication network

Alexandre Kruszewski 1, * Wenjuan Jiang 1 Emilia Fridman 2 Jean-Pierre Richard 3, 1, 4 Armand Toguyeni 5
* Corresponding author
1 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
4 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
5 STF - Systèmes Tolérants aux Fautes
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The paper considers a networked control loop, where the plant is a "slave" part, and the remote controller and observer constitute the "master". Since the performance of Networked Control Systems (NCS) depends on the Quality of Service (QoS) available from the network, it is worth to design a controller that takes into account qualitative information on the QoS in realtime. The goal of the design is to provide a controller that guarantees two things: 1) high performances (here expressed by exponential decay rates) when the QoS remains globally the same; 2) global stability when the QoS changes. In order to guarantee the global stability, the controller will switch by respecting a dwell time constraint. The dwell time parameters are obtained by using the switched system theories and the obtained conditions are Linear Matrix Inequalities (LMI). An experiment illustrates how the controller can be implemented for a control over Internet application (remote control of a small robot).
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Alexandre Kruszewski, Wenjuan Jiang, Emilia Fridman, Jean-Pierre Richard, Armand Toguyeni. A switched system approach to exponential stabilization through communication network. IEEE Transactions on Control Systems Technology, Institute of Electrical and Electronics Engineers, 2012, 20 (4), pp.887-900. ⟨10.1109/TCST.2011.2159793⟩. ⟨inria-00602327⟩

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