Paper Info
Title
Optimal Local And Remote Controllers With Unreliable Communication: The Infinite Horizon Case
Abstract
We consider a decentralized optimal control problem for a linear plant controlled by two controllers, a local controller and a remote controller. The local controller directly observes the state of the plant and can inform the remote controller of the plant state through a packet-drop link with acknowledgments. The finite horizon version of this problem was solved in our prior work In The optimal strategies in the finite horizon case were shown to be characterized by coupled Riccati recursions. In this paper, we show that the finite horizon solution is related to the solution of a centralized control problem for an auxiliary Markov jump linear system. By exploiting this connection, we investigate the infinite horizon decentralized control problem. Our main result characterizes a critical threshold pc for link failure probability above which no decentralized strategy can give a finite cost. When the link failure probability is below this threshold, we provide an explicit characterization of the optimal strategies.
Year
Venue
Field
2018
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)
Control theory,Optimal control,Markov process,Decentralised system,Linear system,Control theory,Computer science,Markov chain,Symmetric matrix,Infinite horizon
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Yi Ouyang14310.16
Seyed Mohammad Asghari273.55
Ashutosh Nayyar324030.84