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Zbl 1138.93375
Gao, Huijun; Chen, Tongwen; Lam, James
A new delay system approach to network-based control. (English)
[J] Automatica 44, No. 1, 39-52 (2008). ISSN 0005-1098

Summary: 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 $\cal H _{\infty}$ 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 $\cal H _{\infty}$ control is solved accordingly. Illustrative examples are provided to show the advantage and applicability of the developed results for network-based controller design.

MSC 2000:: *93C57 Sampled-data control systems
93B35 Sensitivity (robustness) of control systems
93D20 Asymptotic stability of control systems
93C05 Linear control systems

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

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Zentralblatt MATH Berlin [Germany]