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Tuning an H-infinity controller with a given order and a structure for interconnected systems with delays. (English) Zbl 1328.93121
Seuret, Alexandre (ed.) et al., Low-complexity controllers for time-delay systems. Cham: Springer (ISBN 978-3-319-05575-6/hbk; 978-3-319-05576-3/ebook). Advances in Delays and Dynamics 2, 95-110 (2014).
Summary: An eigenvalue based framework is developed for the $${\mathcal{H}}_\infty$$ norm analysis and its norm minimization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations (DDAEs). For these equations $${\mathcal{H}}_\infty$$ norms are analyzed and their sensitivity with respect to small delay perturbations is studied. Subsequently, numerical methods for the $${\mathcal{H}}_\infty$$ norm computation and for designing controllers minimizing the $${\mathcal{H}}_\infty$$ norm with a prescribed structure or order, based on a direct optimization approach, are briefly addressed. The effectiveness of the approach is illustrated with a software demo. The chapter concludes by pointing out the similarities with the computation and optimization of characteristic roots of DDAEs.
For the entire collection see [Zbl 1300.93008].
##### MSC:
 93B60 Eigenvalue problems 93B36 $$H^\infty$$-control 93B40 Computational methods in systems theory (MSC2010) 93C15 Control/observation systems governed by ordinary differential equations
HANSO; HIFOO
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