dorsal/arxiv
View SchemaAn inverted pendulum with a springy control as a model of human standing
| Authors | Frank Borg |
|---|---|
| Categories | |
| ArXiv ID | physics/0512122 |
| URL | https://arxiv.org/abs/physics/0512122 |
Abstract
The normal and the inverted pendulum continue to be one of the main physical models and metaphors in science. The inverted pendulum is also a classic study case in control theory. In this paper we consider a special demonstration version of the inverted pendulum which is controlled via a spring. If the spring constant is below a critical level the springy control will be unstable and the pendulum will be kept from falling only by exercising a dynamically varying control. This situation resembles the case of human bipedal quiet standing with the Achilles tendon serving as the spring. The paper is written with physics students in mind.
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"abstract": "The normal and the inverted pendulum continue to be one of the main physical\nmodels and metaphors in science. The inverted pendulum is also a classic study\ncase in control theory. In this paper we consider a special demonstration\nversion of the inverted pendulum which is controlled via a spring. If the\nspring constant is below a critical level the springy control will be unstable\nand the pendulum will be kept from falling only by exercising a dynamically\nvarying control. This situation resembles the case of human bipedal quiet\nstanding with the Achilles tendon serving as the spring. The paper is written\nwith physics students in mind.",
"arxiv_id": "physics/0512122",
"authors": [
"Frank Borg"
],
"categories": [
"physics.bio-ph",
"physics.ed-ph"
],
"title": "An inverted pendulum with a springy control as a model of human standing",
"url": "https://arxiv.org/abs/physics/0512122"
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