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An important merit of these LMI conditions is that there are adjustable convergence indices prescribed for both the time and batch directions, and an adjustable robust control performance level for the closed-loop system.
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Furthermore, the monotonic convergence of the closed-loop system in the batch direction has been proved.
To exploit the repetitive nature of batch processes, iterative learning control scheme is used in batch direction.
The proposed identification method uses the information not only from the time direction but also along the batch direction to improve the identification performance from batch to batch.
Secondly, mode identification is conducted along the batch direction and the phase affiliation is sequentially determined along time direction by determining the changes in variable correlations.
Applications on a three-tank system show that the proposed method can achieve the design objective well, with performance improvement along both time and batch direction, and also owns good robustness to uncertainties and non-repetitive disturbances.
Applications on injection packing pressure control show that the proposed method can achieve the design objective well, with performance improvement along both time and batch direction, and also owns good robustness to disturbances and measurement noises.
For the batch-to-batch direction, a robust ILC updating law is developed based on the two-dimensional (2D) control system theory, which is capable of perfect output tracking against repetitive type load disturbance.
An important merit is that the proposed ILC design is independent of the PI tuning which maintains the closed-loop system stability, owing to that the ILC updating law is implemented through adjusting the set-point of the closed-loop system and adding a feedforward control signal to the plant input along the batch-to-batch direction.
From this batch, Dunham gave further direction, and they continued to massage and refine the identity.
The temporal changes in the ( {updelta mathrm{D}}_{{mathrm{H}}_2} ) values showed different directions in the batches that had different initial isotope compositions of H2 and H2O (Fig. 1o and Table 2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com