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)

1 SyNeR - Systèmes Non Linéaires et à Retards
2 Department of Electrical Engineering
3 Centrale Lille
4 NON-A - Non-Asymptotic estimation for online systems
5 STF - Systèmes Tolérants aux Fautes

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).

Mots clés: Networked Control Systems; Time Delay Systems; gain scheduling; Lyapunov-Krasovskii; LMI

Domaines: Automatique / Robotique; Automatique; Réseaux et télécommunications [cs.NI]

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, 2012, 20 (4), pp.887-900. ⟨10.1109/TCST.2011.2159793⟩. ⟨inria-00602327⟩