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Delay-dependent robust stabilization for uncertain neutral systems with distributed delays. (English) Zbl 1140.93466
Summary: The problems of robust stability and robust stabilization of uncertain neutral systems with distributed delays are studied in this paper. Using a combination of integral inequality technique and descriptor system approach, new delay-dependent sufficient conditions for robust stability and robust stabilization are formulated in terms of linear matrix inequalities (LMIs). LMI-based conditions are also derived for robust stability and robust stabilizability of uncertain distributed-delay systems when the distributed delay belongs to a given interval. When the results obtained in this paper are applied to stabilization of combustion in the chamber of a liquid monopropellant rocket motor, it is found that the combustion can be robustly stabilized over larger variation intervals of pressure parameter and time-delay parameter than those obtained by F. Zheng and P. M. Frank [Automatica 38, No. 3, 487–497 (2002; Zbl 0995.93065)].

MSC:
93D21 Adaptive or robust stabilization
93D09 Robust stability
93C15 Control/observation systems governed by ordinary differential equations
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