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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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