Terminal Synergetic Control for Blood Glucose Regulation in Diabetes Patients

This paper proposes a novel robust proportional integral non-singular terminal synergetic control (PI-NTSC) for a class of affine nonlinear systems. To counteract the effects of the disturbances, a hybrid nonlinear disturbance observer (HNDOB) scheme is proposed to estimate the matched and mismatched disturbances. A novel proportional integral non-singular terminal synergetic control (PI-NTSC) is proposed for a class of affine nth-order systems. The stability of the PI-NTSC approach is proven using the Lyapunov stability theory. Its effectiveness and applicability is evaluated through simulations of a four-bar linkage mechanism and a servo-hydraulic system. The proposed HNDOB-based PI-NTSC is characterized by a finite time convergence rate, simple implementation, better disturbance rejection ability to both matched and mismatched uncertainties, and chattering free dynamics compared to conventional sliding mode control.

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“…(10) to Eq. ( 11), it can be concluded thaṫ 35], [36]). If a continuous, positive-definite function satisfy:…”

Section: ) Pi-ntsc For Second-order Systemsmentioning

confidence: 89%

Robust PI-Based Non-Singular Terminal Synergetic Control for Nonlinear Systems via Hybrid Nonlinear Disturbance Observer

2021

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“…It remains always a positive and never reaches at zero because BGL at zero means the death of a patient which restricts control input to get infinite. The stability of the system has been proved by considering a positive definite Lyapunov candidate function and the following Lemma 1 ensures the finite time convergence of macro-variable ξ to zero [30]. Lemma 1: Let us consider positive definite function of Lyapunov, which satisfies the following inequality:…”

Section: A Terminal Synergetic Controller Designmentioning

confidence: 99%

Terminal Synergetic and State Feedback Linearization Based Controllers for Artificial Pancreas in Type 1 Diabetic Patients

et al. 2021

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Lack of insulin production by pancreas causes high blood glucose level (BGL) in the diabetic patients. For their treatment, manual insulin intake is possible only during the day timings but not feasible during the night when the patient is sleeping. Artificial pancreas (AP) is used for the automatic regulation of BGL by continuous injection of insulin. The nonlinear Bergman's Minimal Model (BMM) considers fixed meal disturbance which may actually vary continuously during medication due to meal intake or by doing exercise. This variation has been taken into account by the Extended Bergman's Minimal Model (EBMM). In this paper, two nonlinear: Terminal Synergetic and State Feedback Linearization based controllers have been proposed for AP to regulate BGL using EBMM. Asymptotic stability of the proposed controllers has been proved using Lyapunov theory. Comparison of the proposed controllers with each other and that with PID controller has been done using MATLAB/Simulink. White noise has been added as the disturbance to further analyze the output performance of the proposed controllers. The Terminal Synergetic controller which performs better than others, has also been implemented on the data of six Type 1 diabetic patients available in the literature.

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“…In the finite time stable system, the convergence of the system occurs in finite time [41,47,51]. Constructing the SC method based on finite-time stability results in the TSC method which was employed for various control applications [42,47,[57][58][59][60][61]. Finite-time stability of the control system under the TSC approach can be achieved [41,58,61].…”

Section: Introductionmentioning

confidence: 99%

Terminal Synergetic Control for Biological Control of Sugarcane Borer

Boonyaprapasorn,

Simatrang,

Kuntanapreeda

et al. 2023

Preprint

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Sugarcane is an important agricultural commodity in economics that has been harmed by the invasion of sugarcane borer. Establishing a biological pest control strategy for sugarcane using their natural enemies can both protect agricultural products from pest invasion and the environment from chemical toxicity. In this regard, feedback control emerges as a practical and feasible approach to effectively implement the biological control strategy for managing the sugarcane borer. In this work, the terminal synergetic controller was designed to develop the control strategy containing multiple inputs. The controller design was conducted based on the pest-parasitoid model. In the design procedure, the auxiliary system was employed to compensate for the input saturation effects. The control ecosystem stability was conducted through the Lyapunov stability theorem. To confirm the capability and performance of the proposed strategy, the simulation results show that the proposed strategy has the capability to regulate pest population densities at the desired level, akin to the conventional sliding mode control strategy. However, what sets it apart is that the terminal synergetic controller provides the preferable characteristics for controlling the sugarcane borer population which are the finite-time convergence of the control system, and the absence of chattering phenomena in the control inputs.

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Terminal Synergetic Control for Blood Glucose Regulation in Diabetes Patients

Cited by 20 publications

References 12 publications

Robust PI-Based Non-Singular Terminal Synergetic Control for Nonlinear Systems via Hybrid Nonlinear Disturbance Observer

Robust PI-Based Non-Singular Terminal Synergetic Control for Nonlinear Systems via Hybrid Nonlinear Disturbance Observer

Terminal Synergetic and State Feedback Linearization Based Controllers for Artificial Pancreas in Type 1 Diabetic Patients

Terminal Synergetic Control for Biological Control of Sugarcane Borer

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