Stabilization of uncertain systems with finite data rates and Markovian packet losses

Kunihisa Okano, Hideaki Ishii

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Abstract

This research addresses stabilization of uncertain systems over data rate constrained and lossy channels. While many of the existing works assume that the packet loss process is independent and identically distributed, we model it as a two-state Markov chain, which can deal with more practical situations including bursty dropouts. For parametrically uncertain plants, a necessary condition and a sufficient condition for mean square stability are derived. These conditions are represented by the product of the eigenvalues of the nominal plants, the data rate, the transition probabilities of the channel states, and the upper bounds of uncertainties. In particular, for scalar plants, the conditions coincide with each other.

Original languageEnglish
Title of host publication2013 European Control Conference, ECC 2013
Pages2368-2373
Number of pages6
Publication statusPublished - 2013
Externally publishedYes
Event2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland
Duration: Jul 17 2013Jul 19 2013

Other

Other2013 12th European Control Conference, ECC 2013
CountrySwitzerland
CityZurich
Period7/17/137/19/13

Fingerprint

Uncertain systems
Packet loss
Markov processes
Stabilization
Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Okano, K., & Ishii, H. (2013). Stabilization of uncertain systems with finite data rates and Markovian packet losses. In 2013 European Control Conference, ECC 2013 (pp. 2368-2373). [6669227]

Stabilization of uncertain systems with finite data rates and Markovian packet losses. / Okano, Kunihisa; Ishii, Hideaki.

2013 European Control Conference, ECC 2013. 2013. p. 2368-2373 6669227.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Okano, K & Ishii, H 2013, Stabilization of uncertain systems with finite data rates and Markovian packet losses. in 2013 European Control Conference, ECC 2013., 6669227, pp. 2368-2373, 2013 12th European Control Conference, ECC 2013, Zurich, Switzerland, 7/17/13.
Okano K, Ishii H. Stabilization of uncertain systems with finite data rates and Markovian packet losses. In 2013 European Control Conference, ECC 2013. 2013. p. 2368-2373. 6669227
Okano, Kunihisa ; Ishii, Hideaki. / Stabilization of uncertain systems with finite data rates and Markovian packet losses. 2013 European Control Conference, ECC 2013. 2013. pp. 2368-2373
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