### 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 language | English |
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Title of host publication | 2013 European Control Conference, ECC 2013 |

Pages | 2368-2373 |

Number of pages | 6 |

Publication status | Published - 2013 |

Externally published | Yes |

Event | 2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland Duration: Jul 17 2013 → Jul 19 2013 |

### Other

Other | 2013 12th European Control Conference, ECC 2013 |
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Country | Switzerland |

City | Zurich |

Period | 7/17/13 → 7/19/13 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2013 European Control Conference, ECC 2013.*, 6669227, pp. 2368-2373, 2013 12th European Control Conference, ECC 2013, Zurich, Switzerland, 7/17/13.

}

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.

UR - http://www.scopus.com/inward/record.url?scp=84893273257&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893273257&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84893273257

SN - 9783033039629

SP - 2368

EP - 2373

BT - 2013 European Control Conference, ECC 2013

ER -