Title
Event-Triggered Stabilization of Linear Systems Under Bounded Bit Rates.
Abstract
This paper addresses the problem of exponential practical stabilization of linear time-invariant systems with disturbances using event-triggered control and bounded communication bit rate. We consider both the case of instantaneous communication with finite precision data at each transmission and the case of non-instantaneous communication with bounded communication rate. Given a prescribed rate of convergence, the proposed event-triggered control implementations opportunistically determine the transmission instants and the finite precision data to be transmitted on each transmission. We show that our design exponentially practically stabilizes the origin while guaranteeing a uniform positive lower bound on the inter-transmission and inter-reception times, ensuring that the number of bits transmitted on each transmission is upper bounded uniformly in time, and allowing for the possibility of transmitting fewer bits at any given time if more bits than prescribed were transmitted earlier. We also characterize the necessary and sufficient average data rate for exponential practical stabilization. Several simulations illustrate the results.
Year
DOI
Venue
2016
10.1109/TAC.2015.2480215
IEEE Trans. Automat. Contr.
Keywords
DocType
Volume
Decoding,Encoding,Quantization (signal),Bit rate,Convergence,Symmetric matrices,Delays
Journal
abs/1405.6196
Issue
ISSN
Citations 
6
0018-9286
17
PageRank 
References 
Authors
0.63
19
2
Name
Order
Citations
PageRank
Pavankumar Tallapragada118712.77
Jorge Cortes21046113.95