TY - GEN
T1 - Stabilization of uncertain systems with finite data rates and Markovian packet losses
AU - Okano, Kunihisa
AU - Ishii, Hideaki
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
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U2 - 10.23919/ecc.2013.6669227
DO - 10.23919/ecc.2013.6669227
M3 - Conference contribution
AN - SCOPUS:84893273257
SN - 9783033039629
T3 - 2013 European Control Conference, ECC 2013
SP - 2368
EP - 2373
BT - 2013 European Control Conference, ECC 2013
PB - IEEE Computer Society
T2 - 2013 12th European Control Conference, ECC 2013
Y2 - 17 July 2013 through 19 July 2013
ER -