Remote-state estimation with packet drop. Issue 22 (2016)

• Record Type: Journal Article
• Authors: Chakravorty, Jhelum; Mahajan, Aditya
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 22(2016)
• Page Start: 7
• Page End: 12
• Publication Date: 2016
• Subjects: Remote-state estimation -- decentralized control -- distortion-transmission function; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.10.364
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In the remote estimation system, a transmitter observes a discrete-time symmetric countable state Markov process and decides to either transmit the current state of the Markov process or not transmit. The transmitted packet gets dropped in the communication channel with a probability ε. An estimator estimates the Markov process based on the received observations. When each transmission is costly, we characterize the minimum achievable cost of communication plus estimation error. When there is a constraint on the average number of transmissions, we characterize the minimum achievable estimation error. Transmission and estimation strategies that achieve these fundamental limits are also identified.