Controller design for a fractional-order nonlinear glucose-insulin system using feedback linearization

2020 ◽  
Vol 42 (13) ◽  
pp. 2372-2381 ◽  
Author(s):  
Muhammad Waleed Khan ◽  
Muhammad Abid ◽  
Abdul Qayyum Khan ◽  
Ghulam Mustafa
Keyword(s):  
Nonlinear Systems ◽  
Fractional Order ◽  
Human Body ◽  
Feedback Linearization ◽  
Controller Design ◽  
Artificial Pancreas ◽  
Glucose Regulation ◽  
Order Model ◽  
Fractional Order Model ◽  
Simulation Results

In this paper, the system of glucose regulation in a human body is discussed. Nonlinear Bergman’s minimal model representing this system is taken, and converted to fractional-order model using the Caputo definition. After that, method of feedback linearization is put forward for fractional-order nonlinear systems, and then applied to design observer based controller for an artificial pancreas for a patient with diabetes. Using FOTF toolbox in MATLAB, the designed controller, observer, and the system are simulated. Using simulation results, it is shown that the designed controller and observer are stable, and the desired level of glucose concentration is being tracked faithfully.

Estimation of the Order and Parameters of a Fractional Order Model From a Noisy Step Response Data1

2014 ◽  
Vol 136 (3) ◽  
Author(s):  
Mahsan Tavakoli-Kakhki ◽  
Mohammad Saleh Tavazoei
Keyword(s):  
Numerical Simulation ◽  
Fractional Order ◽  
Closed Loop ◽  
Open Loop ◽  
Measurement Noise ◽  
Step Response ◽  
Order Model ◽  
Response Data ◽  
Fractional Order Model ◽  
Simulation Results

This paper deals with integral based methods to estimate the order and parameters of simple fractional order models from the extracted noisy step response data of a process. This data can be obtained from both open-loop and closed-loop tests. Numerical simulation results are presented to verify the robustness of these proposed methods in the presence of the measurement noise.

scholarly journals A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel

2021 ◽  
Vol 146 ◽  
pp. 110859
Author(s):  
Ahmed Boudaoui ◽  
Yacine El hadj Moussa ◽  
Zakia Hammouch ◽  
Saif Ullah
Keyword(s):  
Fractional Order ◽  
The Novel ◽  
Order Model ◽  
Fractional Order Model ◽  
Novel Coronavirus

Chaos Suppression in Fractional order Permanent Magnet Synchronous Generator in Wind Turbine Systems

2017 ◽  
Vol 6 (2) ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Dynamic Properties ◽  
Synchronous Generator ◽  
Adaptive Controller ◽  
Control Technique ◽  
Order Model ◽  
Permanent Magnet Synchronous Generator ◽  
Chaos Suppression ◽  
Fractional Order Model

AbstractIn this paper we investigate the control of three-dimensional non-autonomous fractional-order uncertain model of a permanent magnet synchronous generator (PMSG) via a adaptive control technique. We derive a dimensionless fractional order model of the PMSM from the integer order presented in the literatures. Various dynamic properties of the fractional order model like eigen values, Lyapunov exponents, bifurcation and bicoherence are investigated. The system chaotic behavior for various orders of fractional calculus are presented. An adaptive controller is derived to suppress the chaotic oscillations of the fractional order model. As the direct Lyapunov stability analysis of the robust controller is difficult for a fractional order first derivative, we have derived a new lemma to analyze the stability of the system. Numerical simulations of the proposed chaos suppression methodology are given to prove the analytical results derived through which we show that for the derived adaptive controller and the parameter update law, the origin of the system for any bounded initial conditions is asymptotically stable.

scholarly journals Identification of a PEMFC fractional order model

2017 ◽  
Vol 42 (2) ◽  
pp. 1499-1509 ◽  
Author(s):  
Miassa Amira Taleb ◽  
Olivier Béthoux ◽  
Emmanuel Godoy
Keyword(s):  
Fractional Order ◽  
Order Model ◽  
Fractional Order Model
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