A Nonlinear Optimal Control Approach of Insulin Infusion for Blood Glucose Levels Regulation

2016 ◽  
Vol 3 (2) ◽  
pp. 91-102 ◽  
Author(s):  
G. Rigatos ◽  
P. Siano ◽  
A. Melkikh
Keyword(s):  
Optimal Control ◽  
Blood Glucose ◽  
Insulin Infusion ◽  
Nonlinear Optimal Control ◽  
Control Approach ◽  
Glucose Levels ◽  
Blood Glucose Levels ◽  
Optimal Control Approach

scholarly journals Modelling and optimal control of blood glucose levels in the human body

2015 ◽  
Vol 11 (4) ◽  
pp. 1149-1164 ◽  
Author(s):  
Zahra Al Helal ◽  
◽  
Volker Rehbock ◽  
Ryan Loxton
Keyword(s):  
Optimal Control ◽  
Blood Glucose ◽  
Human Body ◽  
Glucose Levels ◽  
Blood Glucose Levels

A Nonlinear Optimal Control Approach for the Vertical Take-off and Landing Aircraft

2021 ◽  
pp. 2150012
Author(s):  
G. Rigatos
Keyword(s):  
Optimal Control ◽  
Control Method ◽  
Nonlinear Optimal Control ◽  
The Body ◽  
Algebraic Riccati Equation ◽  
Control Input ◽  
Time Step ◽  
Control Approach ◽  
Vtol Aircraft ◽  
Optimal Control Approach

The paper proposes a nonlinear optimal control approach for the model of the vertical take-off and landing (VTOL) aircraft. This aerial drone receives as control input a directed thrust, as well as forces acting on its wing tips. The latter forces are not perpendicular to the body axis of the drone but are tilted by a small angle. The dynamic model of the VTOL undergoes approximate linearization with the use of Taylor series expansion around a temporary operating point which is recomputed at each iteration of the control method. For the approximately linearized model, an H-infinity feedback controller is designed. The linearization procedure relies on the computation of the Jacobian matrices of the state-space model of the VTOL aircraft. The proposed control method stands for the solution of the optimal control problem for the nonlinear and multivariable dynamics of the aerial drone, under model uncertainties and external perturbations. For the computation of the controller’s feedback gains, an algebraic Riccati equation is solved at each time-step of the control method. The new nonlinear optimal control approach achieves fast and accurate tracking for all state variables of the VTOL aircraft, under moderate variations of the control inputs. The stability properties of the control scheme are proven through Lyapunov analysis.

A nonlinear optimal control approach for the spherical robot

2018 ◽  
Author(s):  
Gerasimos Rigatos ◽  
Krishna Busawon ◽  
Jorge Pomares ◽  
Patrice Wira ◽  
Masoud Abbaszadeh
Keyword(s):  
Optimal Control ◽  
Nonlinear Optimal Control ◽  
Spherical Robot ◽  
Control Approach ◽  
Optimal Control Approach

scholarly journals Understanding safety differently: developing a model of resilience in the use of intravenous insulin infusions in hospital in-patients—a feasibility study protocol

BMJ Open ◽  
2019 ◽  
Vol 9 (7) ◽  
pp. e029997
Author(s):  
Mais Hasan Iflaifel ◽  
Rosemary Lim ◽  
Kath Ryan ◽  
Clare Crowley ◽  
Rick Iedema
Keyword(s):  
Blood Glucose ◽  
Phase I ◽  
Critically Ill ◽  
Critically Ill Patients ◽  
Insulin Infusion ◽  
University Hospitals ◽  
Glucose Levels ◽  
Oxford University ◽  
Intravenous Insulin ◽  
Blood Glucose Levels

BackgroundIntravenous insulin infusions are considered the treatment of choice for critically ill patients and non-critically ill patients with persistent raised blood glucose who are unable to eat, to achieve optimal blood glucose levels. The benefits of using intravenous insulin infusions as well as the problems experienced are well described in the scientific literature. Traditional approaches for improving patient safety have focused on identifying errors, understanding their causes and designing solutions to prevent them. Such approaches do not take into account the complex nature of healthcare systems, which cannot be controlled solely by following standards. An emerging approach called Resilient Healthcare proposes that, to improve safety, it is necessary to focus on how work can be performed successfully as well as how work has failed.Methods and analysisThe study will be conducted at Oxford University Hospitals NHS Foundation Trust and will involve three phases. Phase I: explore how work is imagined by analysing intravenous insulin infusion guidelines and conducting focus group discussions with guidelines developers, managers and healthcare practitioners. Phase II: explore the interplay between how work is imagined and how work is performed using mixed methods. Quantitative data will include blood glucose levels, insulin infusion rates, number of hypoglycaemic and hyperglycaemic events from patients’ electronic records. Qualitative data will include video reflexive ethnography: video recording healthcare practitioners using intravenous insulin infusions and then conducting reflexive meetings with them to discuss selected video footage. Phase III: compare findings from phase I and phase II to develop a model for using intravenous insulin infusions.Ethics and disseminationEthical approvals have been granted by the South Central—Oxford C Research Ethics Committee, Oxford University Hospitals NHS Foundation Trust and University of Reading. The results will be disseminated through presentations at appropriate conferences and meetings, and publications in peer-reviewed journals.

A nonlinear optimal control approach for chaotic finance dynamics

2017 ◽  
Author(s):  
G. Rigatos ◽  
P. Siano ◽  
V. Loia ◽  
A. Tommasetti ◽  
O. Troisi
Keyword(s):  
Optimal Control ◽  
Nonlinear Optimal Control ◽  
Control Approach ◽  
Optimal Control Approach
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