NDLI: On the optimal solutions of the infinite-horizon linear sensor scheduling problem

Content Provider	IEEE Xplore Digital Library
Author	Wei Zhang Vitus, M.P. Jianghai Hu Abate, A. Tomlin, C.J.
Copyright Year	2010
Description	Author affiliation: Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, USA (Wei Zhang; Tomlin, C.J.) \|\| Delft Center for Systems and Control, University of Technology, The Netherlands (Abate, A.) \|\| School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA (Jianghai Hu) \|\| Department of Aeronautics and Astronautics, Stanford University, CA 94305, USA (Vitus, M.P.)
Abstract	This paper studies the infinite-horizon sensor scheduling problem for linear Gaussian processes with linear measurement functions. Several important properties of the optimal infinite-horizon schedules are derived. In particular, it is proved that under some mild conditions, both the optimal infinite-horizon average-per-stage cost and the corresponding optimal sensor schedules are independent of the covariance matrix of the initial state. It is also proved that the optimal estimation cost can be approximated arbitrarily closely by a periodic schedule with a finite period, and moreover, the trajectory of the error covariance matrix under this periodic schedule converges exponentially to a unique limit cycle. These theoretical results provide valuable insights about the problem and can be used as general guidelines in the design and analysis of various infinite-horizon sensor scheduling algorithms.
Starting Page	396
Ending Page	401
File Size	182390
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5717163
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Schedules Covariance matrix Trajectory Optimal scheduling Estimation Scheduling Processor scheduling
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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