×

zbMATH — the first resource for mathematics

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
Software:
HANSO; HIFOO
PDF BibTeX XML Cite
Full Text: DOI