### Abstract

Original language | English |
---|---|

Title of host publication | Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010) |

Pages | 3684-3689 |

Publication status | Published - 2010 |

### Fingerprint

### Cite this

*Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010)*(pp. 3684-3689)

}

*Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010).*pp. 3684-3689.

**Stability analysis of stochastic networked control systems.** / Donkers, M.C.F.; Heemels, W.P.M.H.; Bernardini, D.; Bemporad, A.; Shneer, V.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Stability analysis of stochastic networked control systems

AU - Donkers, M.C.F.

AU - Heemels, W.P.M.H.

AU - Bernardini, D.

AU - Bemporad, A.

AU - Shneer, V.

PY - 2010

Y1 - 2010

N2 - In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet-dropouts and communication constraints. Communication constraints impose that, per transmission, only one sensor or actuator node can access the network and send its information. Which node is given access to the network at a transmission time is orchestrated by a so-called network protocol. This paper considers NCSs, in which the transmission intervals and transmission delays are described by a random process, having a continuous probability density function (PDF). By focussing on linear plants and controllers and periodic and quadratic protocols, we present a modelling framework for NCSs based on stochastic discrete-time switched linear systems. Stability (in the mean-square) of these systems is analysed using convex overapproximations and a finite number of linear matrix inequalities. On a benchmark example of a batch reactor, we illustrated the effectiveness of the developed theory.

AB - In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet-dropouts and communication constraints. Communication constraints impose that, per transmission, only one sensor or actuator node can access the network and send its information. Which node is given access to the network at a transmission time is orchestrated by a so-called network protocol. This paper considers NCSs, in which the transmission intervals and transmission delays are described by a random process, having a continuous probability density function (PDF). By focussing on linear plants and controllers and periodic and quadratic protocols, we present a modelling framework for NCSs based on stochastic discrete-time switched linear systems. Stability (in the mean-square) of these systems is analysed using convex overapproximations and a finite number of linear matrix inequalities. On a benchmark example of a batch reactor, we illustrated the effectiveness of the developed theory.

M3 - Conference contribution

SN - 978-142447426-4

SP - 3684

EP - 3689

BT - Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010)

ER -