Physical Inverted Pendulum Model for Human Balance Analysis
Paper ID : 1460-SPORTCONGRESS
Authors
Zahra Ghalenovi *1, Maryam Ghalenovi2
1Department of Physics, Kosar University of Bojnord, Bojnourd, Iran
2Tehran Department of Education
Abstract
Balance control is a crucial factor in sports sciences, as it directly influences performance, injury prevention, and motor skill development. Human balance results from the interactions between the nervous system and the mechanical responses of the musculoskeletal system. Analyzing these interactions provides a deep understanding of how athletes maintain stability during their movement. In this work, we present a simplified physical model that considers the human body as an inverted pendulum controlled by muscular torque. We drive a delayed differential equation that describes the dynamical behavior of the system and analyze its stability characteristics. The second-order Taylor expansion is used to simplify the equation of motion. Then, numerical simulations are carried out to determine the critical time delay and investigate how variations in neural delay affect system stability. Our findings indicate that when the neural delay exceeds a certain threshold, the stability of the system is significantly reduced. The proposed model therefore provides a simple and powerful theoretical framework for understanding, analyzing, and improving human balance control in sports science, control research and rehabilitation.
Keywords
Human balance, Inverted pendulum model, Numerical simulations, Critical delay.
Status: Abstract Accepted (Poster Presentation)