Fractional-Order Modelling and Optimal Control of Cholera Transmission
نویسندگان
چکیده
A Caputo-type fractional-order mathematical model for "metapopulation cholera transmission" was recently proposed in [Chaos Solitons Fractals 117 (2018), 37--49]. sensitivity analysis of that is done here to show the accuracy relevance parameter estimation. Then, a fractional optimal control (FOC) problem formulated and numerically solved. cost-effectiveness performed assess studied measures. Moreover, such allows us cost effectiveness measures during intervention. We conclude FOC system more effective only part time interval. For this reason, we propose where derivative order varies along interval, being or classical when advantageous. Such variable-order model, call 'FractInt' system, shows be most disease.
منابع مشابه
B-Spline Solution of Boundary Value Problems of Fractional Order Based on Optimal Control Strategy
In this paper, boundary value problems of fractional order are converted into an optimal control problems. Then an approximate solution is constructed from translations and dilations of a B-spline function such that the exact boundary conditions are satisfied. The fractional differential operators are taken in the Riemann-Liouville and Caputo sense. Several example are given and the optimal err...
متن کاملprismatic series of elastic actuator: modelling and control by ica and pso-tuned fractional order pid
abstract: this paper presents dynamic modelling and control of a linear prismatic series of elastic actuator. the capability of generating large torques is why this actuator is increasingly used in human-assistive robotic systems. due to having human in the loop, the actuator requires precise control. a fractional pid controller known for its improved performance is used for the control, due to...
متن کاملModelling Optimal Control of Cholera in Communities Linked by Migration
A mathematical model for the dynamics of cholera transmission with permissible controls between two connected communities is developed and analysed. The dynamics of the disease in the adjacent communities are assumed to be similar, with the main differences only reflected in the transmission and disease related parameters. This assumption is based on the fact that adjacent communities often hav...
متن کاملQuadrotor Control Using Fractional-Order PI^λ D^μ Control
Quadrotor control has been noted for its trouble as the consequence of the high maneuverability, system nonlinearity and strongly coupled multivariable. This paper deals with the simulation depend on proposed controller of a quadrotor that can overcome this trouble. The mathematical model of quadrotor is determined using a Newton-Euler formulation. Fractional Order Proportional Integral Derivat...
متن کاملRobust Fractional Order Control of Under-actuated Electromechanical System
This paper presents a robust fractional order controller for flexible-joint electrically driven robots under imperfect transformation of control space. The proposed approach is free from manipulator dynamics, thus free from problems associated with torque control strategy in the design and implementation. As a result, the proposed controller is simple, fast response and superior to the torque c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2021
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract5040261