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2023 | OriginalPaper | Buchkapitel

Design of Structured Controllers for Linear Time-Delay Systems

verfasst von : Wim Michiels

Erschienen in: Controlling Delayed Dynamics

Verlag: Springer International Publishing

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Abstract

We present an overview of control design methods for linear time-delay systems, which are grounded in matrix theory and numerical linear algebra techniques, such as eigenvalue computations, solving Lyapunov matrix equations, eigenvalue perturbation theory and eigenvalue optimization. The methods are particularly suitable for the design of structured controllers, as they rely on a direct optimization of stability, robustness and performance indicators as a function of controller or design parameters. Several illustrations complete the presentation.

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Fußnoten
1
\(\mathbb {R}_0^+\) denotes the set of strictly positive real numbers.
 
2
The m components of \(\vec {\tau }=(\tau _1,\ldots ,\tau _m)\) are rationally independent if and only if \(\sum _{k=1}^m n_k \tau _k=0,\ n_k\in \mathbb {Z}\) implies \(n_k=0,\forall k=1,\ldots ,m\).
 
3
This terminology is borrowed from the theory of neutral delay differential equations (Hale and Verduyn Lunel 2002; Michiels and Vyhlídal 2005).
 
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Metadaten
Titel
Design of Structured Controllers for Linear Time-Delay Systems
verfasst von
Wim Michiels
Copyright-Jahr
2023
DOI
https://doi.org/10.1007/978-3-031-01129-0_8

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