Journal
PROCEEDINGS OF THE 20TH INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL (PART OF CPS WEEK) (HSCC' 17)
Volume -, Issue -, Pages 179-186Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3049797.3049815
Keywords
Event-triggered control; Hybrid systems; Impulsive systems; Riccati differential equations; L-2 stability; Global exponential stability
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Funding
- Innovational Research Incentives Scheme under the VICI grant Wireless control systems: A new frontier in automation - NWO (The Netherlands Organisation for Scientific Research) [11382]
- STW (Dutch Technology Foundation)
- STW project Integrated design approach for safety-critical real-time automotive systems [12698]
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In event-triggered control systems, events are typically generated when a static function of the output (or state) of the system exceeds a given threshold. Recently, event-generators have been proposed that generate events based on an additional dynamic variable, with dynamics that depend on the output of the system. It is shown that these dynamic event-generators are able to guarantee the same performance as their static counterparts, while typically generating significantly fewer events. However, all dynamic event-generators available in literature require continuous measuring of the output of the plant, which is difficult to realize on digital platforms. In this paper, we propose new dynamic event-generators for linear systems, which require only periodic sampling of the output, and are therefore easy to implement on digital platforms. Based on hybrid modelling techniques combined with constructive designs of Lyapunov/storage functions for the resulting hybrid models, it is shown that these (dynamic periodic) event-generators lead to closed-loop systems which are globally exponentially stable (GES) with a guaranteed decay rate and L-2-stable with a guaranteed L-2-gain. The benefits of these new event-generators are also demonstrated via a numerical example.
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