Title
Event-triggered minimax state estimation with a relative entropy constraint.
Abstract
In this paper, we consider an event-triggered minimax state estimation problem for uncertain systems subject to a relative entropy constraint. This minimax estimation problem is formulated as an equivalent event-triggered linear exponential quadratic Gaussian problem. It is then shown that this problem can be solved via dynamic programming and a newly defined information state. As the solution to this dynamic programming problem is computationally intractable, a one-step event-triggered minimax estimation problem is further formulated and solved, where an a posteriori relative entropy is introduced as a measure of the discrepancy between probability measures. The resulting estimator is shown to evolve in recursive closed-form expressions. For the multi-sensor system scenario, a one-step event-triggered minimax estimator is also presented in a sequential fusion way. Finally, comparative simulation examples are provided to illustrate the performance of the proposed one-step event-triggered minimax estimators.
Year
DOI
Venue
2019
10.1016/j.automatica.2019.108592
Automatica
Keywords
Field
DocType
Event-triggered state estimation,Minimax estimation,Robustness,Relative entropy constraint
Dynamic programming,Mathematical optimization,Minimax,Minimax estimator,Probability measure,Quadratic equation,Gaussian,Kullback–Leibler divergence,Mathematics,Estimator
Journal
Volume
Issue
ISSN
110
1
0005-1098
Citations 
PageRank 
References 
3
0.36
0
Authors
5
Name
Order
Citations
PageRank
Jiapeng Xu130.36
Yang Tang239221.87
Wen Yang39510.06
Fangfei Li436122.25
Ling Shi51717107.86