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Quiet standing: The Single Inverted Pendulum model is not so bad after all
Pietro Morasso1, Amel Cherif1,2, Jacopo Zenzeri1
1Department of Robotics, Brain and Cognitive Sciences, Istituto Italiano di Tecnologia, Genoa, Italy.
The study proposes a new Double Inverted Pendulum (DIP) model for balance control, integrating active ankle and passive hip mechanisms. This hybrid model accurately simulates human postural sway, including complex ankle-hip interactions and center of mass acceleration minimization.
Area of Science:
- Biomechanics
- Human Motor Control
- Robotics
Background:
- The Single Inverted Pendulum (SIP) model, focusing solely on ankle rotations, has been a long-standing paradigm for balance and postural control.
- Recent kinematic analyses reveal significant hip motion during quiet standing, necessitating a more complex model like the Double Inverted Pendulum (DIP).
- Existing DIP models suggest bi-axial active control to minimize Center of Mass (CoM) acceleration.
Purpose of the Study:
- To propose and simulate a novel hybrid control mechanism for the Double Inverted Pendulum (DIP) model of human postural control.
- To investigate an alternative control strategy involving intermittent active feedback to the ankle and passive stiffness at the hip.
- To validate the model's ability to reproduce experimentally observed ankle-hip coordination patterns and CoM acceleration minimization.
Main Methods:
- Development of a DIP model incorporating a Virtual Inverted Pendulum (VIP) to represent the dynamics between the ankle and CoM.
- Implementation of a hybrid control strategy with intermittent active feedback to the ankle joint based on the VIP's state.
- Simulation of the DIP/VIP model under the proposed hybrid control to analyze joint interactions and CoM dynamics.
Main Results:
- The DIP/VIP model successfully reproduced the in-phase and anti-phase oscillatory patterns observed between the ankle and hip joints in experimental studies.
- Simulations demonstrated that the hybrid control mechanism indirectly achieves minimization of CoM acceleration through the interplay of active ankle and passive hip control.
- The model's findings suggest a functional equivalence between the proposed hybrid control and simpler models for specific experimental contexts.
Conclusions:
- The proposed hybrid control mechanism for the DIP model provides a more comprehensive explanation of human postural control than the traditional SIP model.
- Intermittent active ankle control combined with passive hip stabilization effectively explains observed balance dynamics and CoM acceleration minimization.
- While the SIP model is an oversimplification, it remains practically acceptable for studies focusing on CoM oscillations due to its functional correctness in certain scenarios.
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