Journal
AUTOMATICA
Volume 87, Issue -, Pages 337-344Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2017.10.008
Keywords
Event-triggered control; Co-design method; Networked control systems; Robust stabilization
Funding
- Dutch Science Foundation (STW)
- Dutch Organization for Scientific Research (NWO) under the VICI grant Wireless control systems: A new frontier in automation [11382]
- ANR under COMPACS [ANR-13-B503-0004-02]
- Australian Research Council under the Discovery Projects scheme
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We investigate the L-2-stabilization of linear systems using output feedback event-triggered controllers. In particular, we are interested in the scenario where the plant output and the control input are transmitted to the controller and to the actuators, respectively, over two different digital channels, which have their own sampling rule. The plant dynamics is affected by external disturbances and the output measurement and the control input are corrupted by noises. We present a co-design procedure to simultaneously synthesize dynamic output feedback laws and event-triggering conditions such that the closed-loop system is L-2-stable with a given upper-bound on the L-2-gain. The required conditions are formulated in terms of the feasibility of linear matrix inequalities (LMIs). Then, we exploit these LMIs to maximize the guaranteed minimum time between two transmissions of the plant output and/or of the control input. We also present a heuristic method to reduce the amount of transmissions for each channel. The developed technique encompasses time-driven (and so periodic) sampling as a particular case and the result is also new in this context. The effectiveness of the proposed methods is illustrated on a numerical example. (C) 2017 Elsevier Ltd. All rights reserved.
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