LPV-based quality interpretations on modeling and control of diabetes

doi:10.12700/aph.13.1.2016.1.12

Cited by 12 publications

(1 citation statement)

References 22 publications

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“…[22,23,24,25]), life sciences as modeling the glucose-insulin system (e.g. [26,27,28,29]), anaesthesia control (e.g. [30,31,32,33,34,35]) can be mentioned.…”

Section: Delay1mentioning

confidence: 99%

On the Implementation of Fixed Point Iteration-based Adaptive Receding Horizon Control for Multiple Degree of Freedom, Higher Order Dynamical Systems

Khan¹,

Tar²

2019

ACTA POLYTECH HUNG

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Based on the observation that it is very difficult to combine the mathematical frameworks of the prevailing Lyapunov function-based adaptive controllers and the traditional, optimal control-based "Model Predictive Controllers (MPC)", a novel adaptive solution was introduced to improve the operation of the "Receding Horizon Controllers (RHC)". Because at the local optima the gradient of the auxiliary function is zero, Lagrange's original "Reduced Gradient Method (RGM)" was replaced by a "Fixed Point Iteration (FPI)"-based algorithm that directly drove this gradient toward zero. According to "Banach's Fixed Point Theorem" the convergence of the method was guaranteed by a contractive function that generated the iterative sequence. The greatest modeling burden in this approach was the need for the calculation of the Jacobian of the problem, i.e. the gradient of the gradient of the auxiliary function. In the first simulations only a single "Degree of Freedom (DoF)" 2 nd order nonlinear system, a van der Pol oscillator was investigated. The attempts that were made to evade the calculation of the Jacobian were finished with the conclusion that at least a rough numerical approximation of this Jacobian generally must be utilized. Though the MPC approach allows the use a great variety of cost functions and dynamical models, mathematically well established results are available only for quadratic cost functions and "Linear Time-invariant (LTI)" models. For other cost functions and models careful numerical analysis is needed. In this paper the use of non-quadratic cost functions is numerically investigated in the FPI-based adaptive RHC control of 2 DoF 2 nd order nonlinear system that consists of two, nonlinearly coupled van der Pol oscillators, is considered. To guarantee lucid calculations simple functions are introduced that map the active parts of the horizon under consideration to the elements of the gradient of the auxiliary function that are calculated analytically. For the calculation of the Jacobian only a rough numerical estimation is applied. The simulation results reveal certain limitations of the suggested method.

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“…[22,23,24,25]), life sciences as modeling the glucose-insulin system (e.g. [26,27,28,29]), anaesthesia control (e.g. [30,31,32,33,34,35]) can be mentioned.…”

Section: Delay1mentioning

confidence: 99%

On the Implementation of Fixed Point Iteration-based Adaptive Receding Horizon Control for Multiple Degree of Freedom, Higher Order Dynamical Systems

Khan¹,

Tar²

2019

ACTA POLYTECH HUNG

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Control of T1DM via tensor product-based framework

Eigner

Pausits

Kovács

2016

2016 IEEE 17th International Symposium on Computational Intelligence and Informatics (CINTI)

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Abstract-With this study our goal was to investigate and prove the usability of the Tensor Product (TP)-transformation based modeling and control regarding the control of Diabetes Mellitus (DM). In details, we examined the TP-based modeling possibilities of Type 1 DM (T1DM) by using the simple well-known Minimal Model. We provided a TP-based controller design solution, where the main focus was on the disturbance rejection. Generally, the TP-based framework using the Parallel Distributed Control (PDC)-and Linear Parameter Varying (LPV) theorems via wellconditioned Linear Matrix Inequalities (LMI) to realize the TPbased controller. In this manner the basis of our controller design procedure was the development of the control oriented qLPV model form, the selection and application of appropriate LMIs through which the PDC-based TP controller can be developed and the realization of the control environment. We prove the usability of the developed control solution on the mentioned T1DM model beside unfavorable disturbances.

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Novel Contradiction Resolution in Fixed Point Transformation-based Adaptive Control

Khan

Tar

2018

2018 IEEE 18th International Symposium on Computational Intelligence and Informatics (CINTI)

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LPV-based quality interpretations on modeling and control of diabetes

Cited by 12 publications

References 22 publications

On the Implementation of Fixed Point Iteration-based Adaptive Receding Horizon Control for Multiple Degree of Freedom, Higher Order Dynamical Systems

On the Implementation of Fixed Point Iteration-based Adaptive Receding Horizon Control for Multiple Degree of Freedom, Higher Order Dynamical Systems

Control of T1DM via tensor product-based framework

Novel Contradiction Resolution in Fixed Point Transformation-based Adaptive Control

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