Mathematical modelling, nonlinear dynamics, bifurcation, synchronization and control of mechanisms driven by power supply

2010 ◽

Vol 368 (1930) ◽

pp. 4893-4914 ◽

Cited By ~ 65

Author(s):

Kazuyuki Aihara ◽

Hideyuki Suzuki

Keyword(s):

Nonlinear Dynamics ◽

Dynamical Systems ◽

Mathematical Modelling ◽

Systems Theory ◽

Control Systems ◽

Hybrid Systems ◽

Hybrid Dynamical Systems ◽

Medical Systems ◽

Theme Issue ◽

And Control

In this introductory article, we survey the contents of this Theme Issue. This Theme Issue deals with a fertile region of hybrid dynamical systems that are characterized by the coexistence of continuous and discrete dynamics. It is now well known that there exist many hybrid dynamical systems with discontinuities such as impact, switching, friction and sliding. The first aim of this Issue is to discuss recent developments in understanding nonlinear dynamics of hybrid dynamical systems in the two main theoretical fields of dynamical systems theory and control systems theory. A combined study of the hybrid systems dynamics in the two theoretical fields might contribute to a more comprehensive understanding of hybrid dynamical systems. In addition, mathematical modelling by hybrid dynamical systems is particularly important for understanding the nonlinear dynamics of biological and medical systems as they have many discontinuities such as threshold-triggered firing in neurons, on–off switching of gene expression by a transcription factor, division in cells and certain types of chronotherapy for prostate cancer. Hence, the second aim is to discuss recent applications of hybrid dynamical systems in biology and medicine. Thus, this Issue is not only general to serve as a survey of recent progress in hybrid systems theory but also specific to introduce interesting and stimulating applications of hybrid systems in biology and medicine. As the introduction to the topics in this Theme Issue, we provide a brief history of nonlinear dynamics and mathematical modelling, different mathematical models of hybrid dynamical systems, the relationship between dynamical systems theory and control systems theory, examples of complex behaviour in a simple neuron model and its variants, applications of hybrid dynamical systems in biology and medicine as a road map of articles in this Theme Issue and future directions of hybrid systems modelling.

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On nonlinear dynamics behavior and control of a new model of a magnetically levitated vibrating system, excited by an unbalanced DC motor of limited power supply

Journal of the Brazilian Society of Mechanical Sciences and Engineering ◽

10.1007/s40430-014-0233-0 ◽

2014 ◽

Vol 37 (4) ◽

pp. 1139-1150 ◽

Cited By ~ 7

Author(s):

Hassan Costa Arbex ◽

José Manoel Balthazar ◽

Bento Rodrigues de Pontes Junior ◽

Reyolando Manoel Lopes Rebello da Fonseca Brasil ◽

Jorge Luis Palacios Felix ◽

...

Keyword(s):

Nonlinear Dynamics ◽

Power Supply ◽

Dc Motor ◽

New Model ◽

Vibrating System ◽

Limited Power ◽

Limited Power Supply ◽

Magnetically Levitated ◽

And Control

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Nonlinear Dynamics and Control of Flexible Structures

10.21236/ada208120 ◽

1989 ◽

Author(s):

Francis C. Moon ◽

Peter Gergely ◽

James S. Thorp ◽

John F. Abel

Keyword(s):

Nonlinear Dynamics ◽

Flexible Structures ◽

Dynamics And Control ◽

And Control ◽

Nonlinear Dynamics And Control

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On the seminar on problems of nonlinear dynamics and control at Moscow State University

Differential Equations ◽

10.1134/s0012266111080179 ◽

2011 ◽

Vol 47 (8) ◽

pp. 1223-1230

Keyword(s):

Nonlinear Dynamics ◽

State University ◽

Dynamics And Control ◽

And Control ◽

Moscow State University ◽

Nonlinear Dynamics And Control

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Design and Research on Power Systems and Algorithms for Controlling Electric Underground Mining Machines Powered by Batteries

Energies ◽

10.3390/en14134060 ◽

2021 ◽

Vol 14 (13) ◽

pp. 4060

Author(s):

Artur Kozłowski ◽

Łukasz Bołoz

Keyword(s):

Power Systems ◽

Power Supply ◽

Internal Combustion Engines ◽

Underground Mining ◽

Test Stand ◽

Research Network ◽

Control Algorithms ◽

Systems And Control ◽

And Control ◽

Supply Systems

This article discusses the work that resulted in the development of two battery-powered self-propelled electric mining machines intended for operation in the conditions of a Polish copper ore mine. Currently, the global mining industry is seeing a growing interest in battery-powered electric machines, which are replacing solutions powered by internal combustion engines. The cooperation of Mine Master, Łukasiewicz Research Network—Institute of Innovative Technologies EMAG and AGH University of Science and Technology allowed carrying out a number of works that resulted in the production of two completely new machines. In order to develop the requirements and assumptions for the designed battery-powered propulsion systems, underground tests of the existing combustion machines were carried out. Based on the results of these tests, power supply systems and control algorithms were developed and verified in a virtual environment. Next, a laboratory test stand for validating power supply systems and control algorithms was developed and constructed. The tests were aimed at checking all possible situations in which the battery gets discharged as a result of the machine’s ride or operation and when it is charged from the mine’s mains or with energy recovered during braking. Simulations of undesirable situations, such as fluctuations in the supply voltage or charging power limitation, were also carried out at the test stand. Positive test results were obtained. Finally, the power supply systems along with control algorithms were implemented and tested in the produced battery-powered machines during operational trials. The power systems and control algorithms are universal enough to be implemented in two different types of machines. Both machines were specially designed to substitute diesel machines in the conditions of a Polish ore mine. They are the lowest underground battery-powered drilling and bolting rigs with onboard chargers. The machines can also be charged by external fast battery chargers.

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