Title
Riccati-Based Design of Event-Triggered Controllers for Linear Systems With Delays.
Abstract
In event-triggered control (ETC) systems, the measured state or output of the plant is sent to the controller at so-called event times. In many ETC systems, these event times are generated based on a static function of the current state or output measurement of the system and its sampled-and-held version that is available to the controller. Hence, the event-generator does not include any dynamics of its own. In contrast, dynamic event-generators trigger events based on additional dynamic variables, whose dynamics depend on the state or output of the system. In this paper, we propose new static and dynamic continuous event-generators (which require continuous measuring of the plant output) and periodic event-generators (which only require periodic sampling of the plant output) for linear control systems with communication delays. All event-generators we propose lead to closed-loop systems which are globally exponentially stable with a guaranteed decay rate, L 2 -stable with a guaranteed L 2 -gain, and have a guaranteed positive minimum inter-event time. By using new Riccati-based analysis tools tailored to linear systems, the conservatism in our decay rate and L 2 -gain estimates is small. The dynamic event-generators even further reduce this conservatism, and as a result typically generate significantly fewer events than their static counterparts, while guaranteeing the same control performance. The benefits of these new event-generators are demonstrated via two numerical examples.
Year
DOI
Venue
2018
10.1109/TAC.2017.2713047
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Delays,Closed loop systems,Vehicle dynamics,Linear systems,Current measurement,Asymptotic stability
Analysis tools,Control theory,Linear system,Control theory,Vehicle dynamics,Event triggered,Exponential stability,Sampling (statistics),Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
63
1
0018-9286
Citations 
PageRank 
References 
11
0.49
23
Authors
3
Name
Order
Citations
PageRank
Dominicus P. Borgers1454.36
Dolk, V.S.21097.47
W. P. M. H. Heemels32436194.41