Interlacing Application to State Space Regulators
DOI:
https://doi.org/10.17979/ja-cea.2026.47.13661Keywords:
Interlacing control, Multirate control, Multivariable control, State-space methods, Modal form, Balanced realization, Computational savingAbstract
This paper presents a formulation of the interlacing control technique directly on the state-space representation of discrete-time linear controllers, applicable to MIMO systems of arbitrary dimension. The proposed decomposition acts on the state matrices of the discretized controller and partitions its dynamics into a fast sub-controller, updated at every sampling period, and NN slow sub-controllers, updated in an interleaved fashion with period NNTT. Two controller realisations are analysed, the diagonal (modal) form and the balanced form, and for each of them different input–output update criteria for the slow sub-controllers are examined. The technique reduces the computational load without discarding any controller dynamics or modifying the sampling period. As an application example, the proposed methodology is assessed in the black-start operation of wind turbines using a 15th-order μ-synthesis controller, confirming both its validity and the achieved computational savings.
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Copyright (c) 2026 José Vicente Roig, Julian Jose Salt Llobregat
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