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**Network-based \(H_\infty\) control for stochastic systems.**
*(English)*
Zbl 1163.93034

Summary: This paper investigates the problem of network-based control for stochastic plants. A new model of stochastic time-delay systems is presented where both network-induced delays and packet dropouts are taken into consideration for a sampled-data network-based control system. This model consists of two successive delay components in the state, and we solve the network-based \(H_\infty\) control problem based on this model by a new stochastic delay system approach. The controller design for the sampled-data systems is carried out in terms of linear matrix inequalities. Finally, we illustrate the methodology by applying these results to an air vehicle control problem.

### MSC:

93E15 | Stochastic stability in control theory |

93B36 | \(H^\infty\)-control |

93C57 | Sampled-data control/observation systems |

60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |

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\textit{X. Meng} et al., Int. J. Robust Nonlinear Control 19, No. 3, 295--312 (2009; Zbl 1163.93034)

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