2018
DOI: 10.1016/j.automatica.2018.05.008
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A fundamental control performance limit for a class of positive nonlinear systems

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Cited by 16 publications
(8 citation statements)
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“…As discussed before, a better control of BG is achieved by short duration insulin actions [5,31,32]. In this context, pulsatile models -in contrast to zero-order hold assumptions -are necessary to properly describe the patient dynamics.…”
Section: Discrete-time Modeling For Pulsatile Input Signalsmentioning
confidence: 99%
See 1 more Smart Citation
“…As discussed before, a better control of BG is achieved by short duration insulin actions [5,31,32]. In this context, pulsatile models -in contrast to zero-order hold assumptions -are necessary to properly describe the patient dynamics.…”
Section: Discrete-time Modeling For Pulsatile Input Signalsmentioning
confidence: 99%
“…On the other hand, the use of pulses has several physiological benefits (in fact, the healthy pancreas segregates insulin in such a way, every 5-10 min, [28,29]). Studies have shown both, experimentally [6,5,30] and theoretically [31,32], that a better postprandial control is achieved by shot boluses, especially in the case of meals with high glycemic index (HGI). Moreover, a pulsatile insulin delivery suppresses more effectively the hepatic glucose release, as stated in [29,33].…”
Section: Introductionmentioning
confidence: 99%
“…This has allowed us to compare standard therapies which typically consist in shots of insulin with therapies in which insulin is delivered continuously. In [ 63 , 64 ] it has been proven that the optimal control is pulsatile when the aim of the control is to minimize the variation in the maximum and minimum output response, the system is positive (like the one we are considering) and the disturbance (the meal, in our case) is pulsatile. Our work indicates that pulsatile control is still a good choice when more complex objective functions are chosen.…”
Section: Discussionmentioning
confidence: 99%
“…In Ref. [ 33 ], a feedforward controller is designed for a class of positive input non‐linear systems. Because the BGC model is non‐linear in nature, the system is modelled by linear and non‐linear subsystems.…”
Section: Introductionmentioning
confidence: 99%
“…The conclusion proposed in Refs. [ 32 , 33 ] has to be understood with the caveat that the result assumes that the food pattern and the patient model are sufficiently well known so that the required feedforward bolus can be accurately computed. In practice, this assumption may not be valid.…”
Section: Introductionmentioning
confidence: 99%