Title
LQG control for networked control systems over packet drop links without packet acknowledgment
Abstract
In this paper, we are concerned with the linear quadratic Gaussian (LQG) problem for systems with packet losses but without acknowledgment (ACK) signals to inform the estimator the status of control packet losses. Such system is usually called the user datagram protocol (UDP)-like system. The LQG problem for the UDP-like systems is usually studied under an assumption that the system state is estimated by a suboptimal linear estimator. It is well-known that the resulting optimal control law is not only nonlinear in the system state but also difficult to compute. To deal with such issue, we propose an efficient suboptimal estimator, and then based on it we study the LQG problem for the UDP-like systems. We show that (i) for the finite horizon case, the resulting optimal control law can be recursively computed and is linear in the estimates; (ii) for the infinite horizon case, under some conditions the optimal control law exists and the close-loop system is mean square stable.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2015.08.010
Journal of the Franklin Institute
Field
DocType
Volume
Mathematical optimization,Nonlinear system,Optimal control,Linear-quadratic-Gaussian control,Control theory,Network packet,Optimal projection equations,Control system,Linear-quadratic regulator,Mathematics,Estimator
Journal
352
Issue
ISSN
Citations 
11
0016-0032
7
PageRank 
References 
Authors
0.50
22
5
Name
Order
Citations
PageRank
hong lin1725.76
Hongye Su23563187.46
Peng Shi315816704.36
Renquan Lu42228106.36
Zhengguang Wu53550137.72