Signal reconstruction under finite-rate measurements: Finite-horizon navigation application
Name
Sarma-2009-Signal reconstruction under finite-rate measurements Finite-horizon navigation application.pdf
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2.13 MB
Format
Adobe PDF
Checksum (MD5)
81f2e575d8584ac303b02c69de143bd4
Author(s)
Sarma, Sridevi V.
Dahleh, Munther A.
Date Issued
October 2009
Journal
Proceedings of the 7th Asian Control Conference, 2009. ASCC 2009
Publisher
Institute of Electrical and Electronics Engineers
Citation
Sarma, S.V. and M.A. Dahleh. “Signal reconstruction under finite-rate measurements: Finite-horizon navigation application.” Asian Control Conference, 2009. ASCC 2009. 7th. 2009. 459-464. ©2009 IEEE.
Version
Final published version
Abstract
In this paper, we study finite-length signal reconstruction over a finite-rate noiseless channel. We allow the class of signals to belong to a bounded ellipsoid and derive a universal lower bound on a worst-case reconstruction error. We then compute upper bounds on the error that arise from different coding schemes and under different causality assumptions. We then map our general reconstruction problem into an important control problem in which the plant and controller are local to each other, but are together driven by a remote reference signal that is transmitted through a finite-rate noiseless channel. The problem is to navigate the state of the remote system from a nonzero initial condition to as close to the origin as possible in finite-time. Our analysis enables us to quantify the tradeoff between time horizon and performance accuracy which is not well-studied in the area of control with limited information as most works address infinite-horizon control objectives (eg. stability, disturbance rejection).
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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