A mathematical model of the adaptive control of human arm motions

1999 ◽  
Vol 80 (5) ◽  
pp. 369-382 ◽  
Author(s):  
Robert M. Sanner ◽  
Makiko Kosha
Keyword(s):  
Mathematical Model ◽  
Adaptive Control ◽  
Arm Motions ◽  
Human Arm

scholarly journals Belt conveyor failure simulation at the design stage with transverse displacements of the belt

2020 ◽  
Vol 168 ◽  
pp. 00056
Author(s):  
Vitalii Monastyrskyi ◽  
Serhii Monastyrskyi ◽  
Denis Nomerovskyi ◽  
Borys Mostovyi
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Fourier Transform ◽  
Adaptive Control ◽  
Design Stage ◽  
Belt Conveyor ◽  
Failure Simulation ◽  
The Fourier Transform ◽  
External Forces ◽  
The Mathematical Model

To find possible conveyor failures at the design stage means to determine a transverse belt displacement and compare the obtained data with the permissible ones. The dynamic problem of the belt movement on the conveyor has been defined. Resistance and external forces, limits of the belt displacement have been determined. The transverse belt displacement can be described by partial differential equations. To solve the problem, the Fourier transform has been used. Change patterns in the transverse belt conveyor displacement dependent on conveyor’s parameters, type of load, and skewing of the idlers along the conveyor have been obtained. The results agree with experimental data. The method of adaptive control of the transverse belt displacement has been described. The essence of this method is to adapt the model of the moving belt in the conveying trough to changed conditions and to reveal the uncertainty of the control with the known parameters of the mathematical model.

scholarly journals Theoretical Analysis and Adaptive Synchronization of a 4D Hyperchaotic Oscillator

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
T. Fonzin Fozin ◽  
J. Kengne ◽  
F. B. Pelap
Keyword(s):  
Mathematical Model ◽  
Adaptive Control ◽  
Theoretical Analysis ◽  
Electronic Circuit ◽  
Adaptive Synchronization ◽  
Uncertain Parameters ◽  
Exponential Nonlinearity ◽  
Dynamical Properties ◽  
Hyperchaotic Systems ◽  
Good Agreement

We propose a new mathematical model of the TNC oscillator and study its impact on the dynamical properties of the oscillator subjected to an exponential nonlinearity. We establish the existence of hyperchaotic behavior in the system through theoretical analysis and by exploiting electronic circuit experiments. The obtained numerical results are found to be in good agreement with experimental observations. Moreover, the new technique on adaptive control theory is used on our model and it is rigorously proven that the adaptive synchronization can be achieved for hyperchaotic systems with uncertain parameters.

Modeling and Analyses of the N-Link Bent-Arm PenduBot

2010 ◽  
Vol 171-172 ◽  
pp. 644-647
Author(s):  
Shao Qiang Yuan ◽  
Xin Xin Li
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Nonlinear Model ◽  
Condition Number ◽  
Kinematics And Dynamics ◽  
Controllability Matrix ◽  
Human Arm ◽  
The World ◽  
The Mathematical Model ◽  
Natural Characteristics

Bent-arm PenduBot is more similar to human arm, which attaches more and more robot experts’ attention around the world. As the foundation of the multi-link PenduBot control, the mathematical model should be established first. Based on the method of kinematics and dynamics, the N-link bent-arm PenduBot mathematical models are established in this paper, including the nonlinear model and the linear model. The natural characteristics of different pendulum are analyzed. By using the condition number of the controllability matrix, the control difficulty for higher order systems is compared.

Modeling Heat Transfer in Human Arm and Forearm: Effect of Countercurrent Heat Exchange and Superficial Veins

2008 ◽  
Author(s):  
Maurício S. Ferreira ◽  
Jurandir I. Yanagihara
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Blood Flow ◽  
Heat Exchange ◽  
Heat Sink ◽  
Human Tissue ◽  
Thermal Equilibrium ◽  
Venous Blood ◽  
Perfusion Rate ◽  
Human Arm

In 1948, Pennes [1] presented a mathematical model of heat transfer in human tissue. The effect of blood flow on heat transfer was modeled as heat sink or source whose magnitude is proportional to the volumetric perfusion rate and difference between arterial and venous temperature [2]. Pennes assumed that thermal equilibrium occurs in the capillary beds, although Chen [3] showed that it occurs in bigger vessels before the blood enters the beds. Weinbaum et al. [2] and Zhu et al. [4] studied the thermal effect of vessels in the range of 50 to 1,000 μm on muscle tissue, and recognized the importance of countercurrent heat exchange. Hirata et al. [5] showed that the heat loss in the forearm is enhanced by the venous blood returning through the superficial veins and that arterious-venous anastomoses (AVAs) presented in the hands are important to thermoregulation.

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