On Delay-Range-Dependent and Delay-Rate-Dependent Stability for Delayed Systems
Yuan He,
Jintian Hu,
Shuxia Wang,
Liansheng Zhang
Issue:
Volume 3, Issue 2, December 2019
Pages:
20-28
Received:
27 September 2019
Accepted:
22 October 2019
Published:
28 October 2019
DOI:
10.11648/j.cse.20190302.11
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Abstract: It is well known that the phenomena of time delays are frequently encountered in many process and various control systems. The presence of delays can have an effect on system stability and performance, so ignoring them may lead to design flaws and incorrect analysis conclusions. Hence, the stability problem for time-delayed systems has received considerable attention in recent years. This brief focuses on the stability analysis for a class of delayed linear systems. Firstly, we construct a novel augmented Lyapunov-Krasovskii functional (LKF) which includes the lower, the upper bounds of the delay and the delay itself. Secondly, utilizing some integral inequalities and the reciprocally convex combination lemma, we obtain less conservative stability criteria formulated in form of linear matrix inequalities (LMIs). Finally, numerical examples are provided to show the effectiveness of the proposed method.
Abstract: It is well known that the phenomena of time delays are frequently encountered in many process and various control systems. The presence of delays can have an effect on system stability and performance, so ignoring them may lead to design flaws and incorrect analysis conclusions. Hence, the stability problem for time-delayed systems has received con...
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Design Modified Robust Linear Compensator of Blood Glucose for Type I Diabetes Based on Neural Network and PSO Algorithm
Ekhlas Hameed Karam,
Eman Hassony Jadoo
Issue:
Volume 3, Issue 2, December 2019
Pages:
29-36
Received:
15 December 2019
Accepted:
30 December 2019
Published:
8 January 2020
DOI:
10.11648/j.cse.20190302.12
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Abstract: Type I diabetic patients is a chronic condition marked by an abnormally large level of glucose in human blood. Persons with diabetes characterized by no insulin secretion in the pancreas (ß-cell) also known as insulin-dependent diabetic Mellitus (IDDM). The treatment of type I diabetes is depending on the delivery of the exogenous insulin to reach the blood glucose level near to the normal range (70-110mg/dL). In this paper, a modified robust linear compensator (MRLC) is suggested to regulate the glucose level of the blood in the presence of the parameter variations and meal disturbance. The Bergman minimal mathematical model is used to describe the dynamic behavior of blood glucose concentration due to insulin regulator injection. Firstly, the robust linear compensator (RLC) is designed based on the linear algebraic method, the simple PD-ADALINE neural network is used to modified the RLC based on the Particle Swarm Optimization technique (PSO) which is used to adjusted the proposed neural network parameters. The simulation part, based on MATLAB/Simulink, was performed to verify the performance of the proposed controller. It has been shown from the results of the effectiveness of the proposed MRLC in controlling the behavior of glucose deviation to a sudden rise in blood glucose.
Abstract: Type I diabetic patients is a chronic condition marked by an abnormally large level of glucose in human blood. Persons with diabetes characterized by no insulin secretion in the pancreas (ß-cell) also known as insulin-dependent diabetic Mellitus (IDDM). The treatment of type I diabetes is depending on the delivery of the exogenous insulin to reach ...
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