Performance Comparison of Different Advanced Control Schemes for Glucose Level Control under Disturbing Meal

Abstract

Abstract
 In this work, diabetic glucose concentration level control under disturbing meal has been controlled using two set of advanced controllers. The first set is sliding mode controllers (classical and integral) and the second set is represented by optimal LQR controllers (classical and Min-, ax). Due to their characteristic features of disturbance rejection, both integral sliding mode controller and LQR Minmax controller are dedicated here for comparison. The Bergman minimal mathematical model was used to represent the dynamic behavior of a diabetic patient’s blood glucose concentration to the insulin injection. Simulations based on Matlab/Simulink, were performed to verify the performance of each controller. In spite that Min-max optimal controller gave better disturbance rejection capability than classical optimal controller, classical sliding mode controller could outperform Min-max controller. However, it has been shown that integral sliding mode controller is the best of all in terms of disturbance rejection capability.
 
 Key words: Optimal LQR control, Optimalminimax control, Sliding mode control, Integral sliding mode control.

Optimal LQR Controller Design for Wing Rock Motion Control in Delta wing Aircraft

“…(20) Depending on the desired performance, the parameters of the matrices H, R and Q are chosen by the designer and generally they are taken as unity matrices [6]. A summary for the calculation of the optimal LQR feedback matrix can be addressed by the steps below:  Selection of design parameter matrices and according to above argument,  Solution of the algebraic Riccati equation for matrix ,  Find the optimal state variable feedback gain matrix K using Eq.…”

“…When applying the adaptive control methods, the wing rock aerodynamic mechanism should be known; anyway, the aerodynamic model may not be easy to achieve [5]. Another approach in controlling dynamical systems is attempting to make the system performance to be optimal, in that way, researchers seek to design a controller, which satisfies the desired performance consuming the shortest time or less energy or both [6]. [7] Applied phase plane analysis and existence theorems to describe the overall system behavior in order to design an optimal controller to stabilize the delta wing aircraft.…”

Design of Second Order Sliding Mode for Glucose Regulation Systems with Disturbance

“…Recent research in the orbit of insulin regulation system contained highly advanced control theory, that orbit sample represented by Reinforcement Learn-ing Algorithm as in [7], new module for the multivariable adaptive like in [8], Model-based falsification has dealt with the problem in [9], Robust glucose control via μ-synthesis has presented in [10], Hybrid Newton Observer has been assessed in Analysis of Glucose Regulation System in [11], Terminal Synergetic Control has been employed in the field as in [12], Backstepping sliding mode Gaussian insulin injection control also presented in [13] and lastly Super twisting control algorithm has presented in [14]. Biomedical applications managed by advanced control theory such the Insulin regulation systems are still struggling for new aspects for improving and enhancing the performance and robustness and that was the motivation of the present work [15], [16]. This work contribution is to introduce a design and comparison study among robust Insulin regulation system based on three sliding mode controllers under meal disturbance.…”