W. M. Keck Science Center, The Claremont Colleges, Claremont, CA 91711, USA.
Department of Applied Mechanics, Budapest University of Technology, and MTA-BME Lendület Human Balancing Research Group, 1111 Budapest, Hungary.
Philos Trans A Math Phys Eng Sci. 2019 Sep 9;377(2153):20180126. doi: 10.1098/rsta.2018.0126. Epub 2019 Jul 22.
The causes of falling in the elderly are multi-factorial. Three factors that influence balance stability are the time delay, a sensory dead zone and the maximum ankle torque that can be generated by muscular contraction. Here, the effects of these contributions are evaluated in the context of a model of an inverted pendulum stabilized by time-delayed proportional-derivative (PD) feedback. The effect of the sensory dead zone is to produce a hybrid type of control in which the PD feedback is switched ON or OFF depending on whether or not the controlled variable is larger or smaller than the detection threshold, Π. It is shown that, as Π increases, the region in the plane of control parameters where the balance time (BT) is greater than 60 s is increased slightly. However, when maximum ankle torque is also limited, there is a dramatic increase in the parameter region associated with BTs greater than 60 s. This increase is due to the effects of a torque limitation on over-control associated with bang-bang type switching controllers. These observations show that acting together influences, which are typically thought to destabilize balance, can actually stabilize balance. This article is part of the theme issue 'Nonlinear dynamics of delay systems'.
老年人跌倒的原因是多方面的。影响平衡稳定性的三个因素是时滞、感觉盲区和肌肉收缩产生的最大踝关节扭矩。在这里,在由时滞比例-微分 (PD) 反馈稳定的倒立摆模型的背景下,评估了这些贡献的影响。感觉盲区的作用是产生一种混合控制,其中 PD 反馈根据受控变量是否大于或小于检测阈值 Π 来打开或关闭。结果表明,随着 Π 的增加,平衡时间 (BT) 大于 60s 的控制参数平面中的区域略有增加。然而,当最大踝关节扭矩也受到限制时,与 BTs 大于 60s 的参数区域有显著增加。这种增加是由于扭矩限制对与 bang-bang 型开关控制器相关的过控制的影响。这些观察结果表明,通常被认为会破坏平衡的稳定的影响因素实际上可以稳定平衡。本文是主题为“时滞系统的非线性动力学”的一部分。