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طراحی کنترلکننده مبتنی بر استفاده از مشاهدهگر حالت برای تنظیم قند خون بیماران دیابت نوع 1 | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 1، دوره 56، شماره 4، 1403، صفحه 467-496 اصل مقاله (1.82 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2024.22825.7683 | ||
| نویسنده | ||
| محمدرضا همایون زاده* | ||
| دانشکده مهندسی، گروه مکانیک، دانشگاه فسا، فسا، ایران | ||
| چکیده | ||
| در این مقاله، یک کنترلکننده غیرخطی مبتنی بر استفاده از مشاهدهگر حالت برای تنظیم غلظت قند خون در بیماران دیابت نوع 1 ارائه شده است. مدل استفاده شده برای بیماری، مدل حداقلی برگمان توسعه یافته است که اختلالات ناشی از وعده غذایی سازگار با هموستاز انسولین-گلوکز در دیابت نوع 1 را در نظر میگیرد. برای طراحی کنترل پسخورد، از روش پسگام استفاده شده است. کنترلکننده پیشنهادی نیازی به اندازهگیری انسولین و غلظت پلاسما ندارد، درحالیکه عملکرد و مقاومت آن در برابر عدم قطعیت بهبود یافته است. در شرایط واقعی، فقط غلظت قند خون قابل اندازهگیری است و غلظت انسولین و سطح پلاسما توسط مشاهدهگر حالت تخمین زده میشوند و این تخمینها به عنوان پسخورد در قانون کنترلی استفاده میشوند. پایداری مجانبی کنترلکننده با استفاده از قضیه لیاپانوف اثبات شده است و همچنین اثبات شده است که سیستم در حضور عدم قطعیت در پارامترهای سیستم و اختلالات خارجی به صورت محدود بودن ورودی-خروجی پایدار است. نتایج تایید میکنند که کنترلکننده پیشنهادی میتواند در حضوراختلالات ناشی از وعده غذایی و نامعینی در پارامترهای سیستم به صورت مجانبی غلظت قند خون را با تزریق مناسب انسولین کنترل کند. | ||
| کلیدواژهها | ||
| پایداری مجانبی؛ تنظیم قند خون؛ روش پسگام؛ طراحی مشاهدهگر؛ قضیه لیاپونوف | ||
| عنوان مقاله [English] | ||
| Controller design based on the use of state observers for blood glucose regulation in patients with type 1 diabetes | ||
| نویسندگان [English] | ||
| Mohamadreza Homayounzade | ||
| Mechanical Engineering department- Fasa University-Fasa-Iran. | ||
| چکیده [English] | ||
| In this paper, an observer-based nonlinear controller for regulating blood glucose concentrations (BGC) in type 1 diabetes mellitus (T1DM) is proposed. The virtual patient model considered is the extended Bergmann minimal model, which is augmented by a meal disturbance and adapted to represent the insulin-glucose homeostasis of T1DM. The backstepping (BS) technique is used to design a closed-loop feedback controller. The proposed controller does not need to measure insulin, and plasma concentrations while improving control performance and robustness against uncertainty. Insulin concentration and plasma levels are estimated using state observers. These estimations are used as feedback to the controller. The asymptotic stability of the observer-based controller is proved using the Lyapunov theorem. Moreover, it is proved that the system is bounded input-bounded output (BIBO) stable in the presence of uncertainties generated by uncertain parameters and external disturbances. For realistic situations, we consider only the BGC to be available for measurement, and additionally, inter-and intra-patient variability of system parameters is considered. The results confirm that the proposed controller can asymptotically regulate BGC by appropriate injection of insulin under meal disturbance and ±%25 of variations in system parameters. | ||
| کلیدواژهها [English] | ||
| Asymptotic Stability, Backstepping Approach, Blood Glucose Concentration, Lyapunov Theorem, Observer Design | ||
| مراجع | ||
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