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Authors: Artur Babiarz ; Adam Czornik ; Michal Niezabitowski and Radoslaw Zawiski

Affiliation: Silesian University of Technology, Poland

Keyword(s): Human Leg, Switched Linear System, State-dependent Switching.

Related Ontology Subjects/Areas/Topics: Applications and Services ; Computer Vision, Visualization and Computer Graphics ; Embedded Communications Systems ; Embedded Robotics ; Enterprise Information Systems ; Human and Computer Interaction ; Human-Computer Interaction ; Telecommunications

Abstract: This article presents a novel approach to modelling of the human leg with the use of linear switched systems. Second order differential equations forming a two-segments leg model moving in a vertical plane are shown. State space linear equations describing given model are derived. A linear switched system for such model is presented, where the switching function is modelled as state-dependent. Based on this approach a linear system is presented, which is composed of four subsystems between which switching occurs depending on two state variables. These variables represent angular displacements. As a consequence, a state space division is shown together with a linear system describing human leg in this setting. Finally, a set of simulations presents differences between standard linear modelling approach and a switched linear system approach.

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Paper citation in several formats:
Babiarz, A.; Czornik, A.; Niezabitowski, M. and Zawiski, R. (2015). Mathematical Model of a Human Leg - The Switched Linear System Approach. In Proceedings of the 5th International Conference on Pervasive and Embedded Computing and Communication Systems - PECCS; ISBN 978-989-758-084-0; ISSN 2184-2817, SciTePress, pages 90-97. DOI: 10.5220/0005230300900097

@conference{peccs15,
author={Artur Babiarz. and Adam Czornik. and Michal Niezabitowski. and Radoslaw Zawiski.},
title={Mathematical Model of a Human Leg - The Switched Linear System Approach},
booktitle={Proceedings of the 5th International Conference on Pervasive and Embedded Computing and Communication Systems - PECCS},
year={2015},
pages={90-97},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005230300900097},
isbn={978-989-758-084-0},
issn={2184-2817},
}

TY - CONF

JO - Proceedings of the 5th International Conference on Pervasive and Embedded Computing and Communication Systems - PECCS
TI - Mathematical Model of a Human Leg - The Switched Linear System Approach
SN - 978-989-758-084-0
IS - 2184-2817
AU - Babiarz, A.
AU - Czornik, A.
AU - Niezabitowski, M.
AU - Zawiski, R.
PY - 2015
SP - 90
EP - 97
DO - 10.5220/0005230300900097
PB - SciTePress

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