Gestational Diabetes Mellitus (GDM) is the most common metabolic disorder that found during gestation and is define as hyperglycemia of variable severity with onset or first recognition during gestation that does not clearly characterize any form of the preexisting diabetes (American Diabetes Association [1]). It affects approximately 16.5% of pregnancies worldwide (Plows, et al.[2]). The placenta is an organ that connects the mother and her fetus during pregnancy (Gul, et al.[3]). In the placenta, glucose can be transformed into glycogen for storage by either glycogen synthase or using glycogenin as a prime. However, the function of glycogen deposition stays a matter of debate, it may be the source of fuel for placenta itself or the storage pool for the later use by fetus in the times of need, while the importance of the placental glycogen stays elusive. Increasing evidence indicates that the changed glycogen metabolism and the deposition accompanies with numerous pregnancy complications that harmfully affects fetal development specially
This paper discusses using H2 and H∞ robust control approaches for designing control systems. These approaches are applied to elementary control system designs, and their respective implementation and pros and cons are introduced. The H∞ control synthesis mainly enforces closed-loop stability, covering some physical constraints and limitations. While noise rejection and disturbance attenuation are more naturally expressed in performance optimization, which can represent the H2 control synthesis problem. The paper also applies these two methodologies to multi-plant systems to study the stability and performance of the designed controllers. Simulation results show that the H2 controller tracks a desirable cl
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