Optimal capacity allocation for sampled networked systems

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the problem of estimating the states of weakly coupled linear systems from sampled measurements. We assume that the total capacity available to the sensors to transmit their samples to a network manager in charge of the estimation is bounded above, and that each sample requires the same amount of communication. Our goal is then to find an optimal allocation of the capacity to the sensors so that the time-averaged estimation error is minimized. We show that when the total available channel capacity is large, this resource allocation problem can be recast as a strictly convex optimization problem, and hence there exists a unique optimal allocation of the capacity. We further investigate how this optimal allocation varies as the available capacity increases. In particular, we show that if the coupling among the subsystems is weak, then the sampling rate allocated to each sensor is nondecreasing in the total sampling rate, and is strictly increasing if and only if the total sampling rate exceeds a certain threshold.

Original languageEnglish (US)
Pages (from-to)100-112
Number of pages13
JournalAutomatica
Volume85
DOIs
StatePublished - Nov 2017

Keywords

  • Algebraic Riccati equations
  • Capacity filtration
  • Mean squared error estimation
  • Optimal capacity allocation
  • Sampled networked systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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