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Stabilization of linear systems with distributed input delay

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3 Author(s)
Goebel, G. ; Inst. for Syst. Theor. & Autom. Control, Univ. of Stuttgart, Stuttgart, Germany ; Münz, U. ; Allgöwer, F.

This paper presents linear matrix inequality (LMI) conditions to design stabilizing state-feedback controllers for linear systems with distributed input delays. A Lyapunov- Krasovskii functional approach is used and the obtained parametric matrix inequalities are reformulated as LMIs using the full-block S-procedure and a convex hull relaxation. These LMI conditions can be used, for example, to design stabilizing controller for networked control systems (NCS). In this setup, the kernel of the distributed input delay describes the probability density of the packet-delay in the communication channel. This controller design for NCS is illustrated in an example.

Published in:

American Control Conference (ACC), 2010

Date of Conference:

June 30 2010-July 2 2010