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Synthesis of a regulator for systems containing a delay link

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This method demonstrates how to synthesize control in systems with delays, highlighting polynomial-matrix decomposition benefits.

The proposed method synthesizes regulators by accounting for delay links without increasing polynomial orders.
Using modal synthesis and polynomial-matrix decomposition, the characteristic polynomial's poles are effectively selected.
The study illustrates this method on a multi-channel unstable system, ensuring clarity with examples of delay approximations.
Enhanced system dynamics are achieved, simplifying configurations and meeting necessary performance indicators.

Voevoda et al. (2025) studied this question.

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