Optimization of the H2 Norm for Time-Delay Systems, with Application to Control Design and Model Approximation | Zendy

Marco A. Gomez | Zendy; Alexey V. Egorov | Zendy; Sabine Mondié | Zendy; Wim Michiels | Zendy

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Optimization of the H2 Norm for Time-Delay Systems, with Application to Control Design and Model Approximation

Author(s) -

Marco A. Gomez,

Alexey V. Egorov,

Sabine Mondié,

Wim Michiels

Publication year - 2018

Publication title -

ieee transactions on automatic control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.436

H-Index - 294

eISSN - 1558-2523

pISSN - 0018-9286

DOI - 10.1109/tac.2018.2836019

Subject(s) - norm (philosophy) , control theory (sociology) , computer science , control system , control (management) , mathematical optimization , mathematics , engineering , artificial intelligence , electrical engineering , political science , law

We propose a novel approach for the optimization of the H2 norm for time-delay systems, grounded in its characterization in terms of the delay Lyapunov matrix. We show how the partial derivatives of the delay Lyapunov matrix with respect to system or controller parameters can be semianalytically computed, by solving a delay Lyapunov equation with inhomogeneous terms. It allows us to obtain the gra...

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