Paper Info
Title
Modeling and estimation for networked systems with multiple random transmission delays and packet losses.
Abstract
In networked systems, data packets are transmitted through networks from a sensor to a data processing center. Due to the unreliability of communication channels, a packet may be delayed even lost during the transmission. At each moment, the data processing center may receive one or multiple data packets or nothing at all. A novel model is developed to describe the possible multiple random transmission delays and data packet losses by employing a group of Bernoulli distributed random variables. It is transformed to a measurement model with multiple random delayed states and noises. Based on the model, an optimal linear filter in the linear minimum variance sense is proposed by using the orthogonal projection approach which is a universal tool to find the optimal linear estimate. It does not have a steady-state performance since it depends on the values of random variables that depict the phenomena of delays and losses at each moment. So it needs to be computed online. To reduce the online computational cost, a suboptimal linear filter dependent on the probabilities of random variables is also proposed. However, it is worth noting that it is linearly optimal among all the linear filters dependent on the probabilities. It can be computed offline since it has the steady-state performance. A sufficient condition of existence for the steady-state performance is given. A simulation example shows the effectiveness.
Year
DOI
Venue
2014
10.1016/j.sysconle.2014.07.005
Systems & Control Letters
Keywords
Field
DocType
Optimal linear filter,Random transmission delay,Packet loss,Steady state,Orthogonal projection approach
Minimum-variance unbiased estimator,Mathematical optimization,Random variable,Data processing,Linear filter,Orthographic projection,Control theory,Network packet,Packet loss,Communication channel,Mathematics
Journal
Volume
ISSN
Citations 
73
0167-6911
10
PageRank 
References 
Authors
0.53
20
2
Name
Order
Citations
PageRank
Shuli Sun173452.41
Guanghui Wang2103.91