A new delay system approach to network-based control.

*(English)*Zbl 1138.93375Summary: This paper presents a new delay system approach to network-based control. This approach is based on a new time-delay model proposed recently, which contains multiple successive delay components in the state. Firstly, new results on stability and \(\mathcal H _{\infty}\) performance are proposed for systems with two successive delay components, by exploiting a new Lyapunov-Krasovskii functional and by making use of novel techniques for time-delay systems. An illustrative example is provided to show the advantage of these results. The second part of this paper utilizes the new model to investigate the problem of network-based control, which has emerged as a topic of significant interest in the control community. A sampled-data networked control system with simultaneous consideration of network induced delays, data packet dropouts and measurement quantization is modeled as a nonlinear time-delay system with two successive delay components in the state and, the problem of network-based \(\mathcal H _{\infty}\) control is solved accordingly. Illustrative examples are provided to show the advantage and applicability of the developed results for network-based controller design.

##### MSC:

93C57 | Sampled-data control/observation systems |

93B35 | Sensitivity (robustness) |

93D20 | Asymptotic stability in control theory |

93C05 | Linear systems in control theory |

##### Keywords:

linear matrix inequality (LMI); networked control systems (NCSs); sampled-data systems; stability; time-delay systems**OpenURL**

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