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L2 Norm as a Measure of Stability for a Postural Control Model

[+] Author Affiliations
Carson Willey, Amit Shukla

Miami University, Oxford, OH

Paper No. DSCC2012-MOVIC2012-8804, pp. 573-578; 6 pages
doi:10.1115/DSCC2012-MOVIC2012-8804
From:
  • ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference
  • Volume 1: Adaptive Control; Advanced Vehicle Propulsion Systems; Aerospace Systems; Autonomous Systems; Battery Modeling; Biochemical Systems; Control Over Networks; Control Systems Design; Cooperative and Decentralized Control; Dynamic System Modeling; Dynamical Modeling and Diagnostics in Biomedical Systems; Dynamics and Control in Medicine and Biology; Estimation and Fault Detection; Estimation and Fault Detection for Vehicle Applications; Fluid Power Systems; Human Assistive Systems and Wearable Robots; Human-in-the-Loop Systems; Intelligent Transportation Systems; Learning Control
  • Fort Lauderdale, Florida, USA, October 17–19, 2012
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4529-5
  • Copyright © 2012 by ASME

abstract

This paper presents analysis of a one degree of freedom human postural control model. The central nervous system is captured in the model as an intermittent control law. Parametric and stability analysis of this single degree-of-freedom model are presented. The L2 Norm of the response is used as a measure of stability. This study shows that joint stiffness and associated time delay parameter are the most sensitive towards the response dynamics. In addition, a comparison of parametric linear stability boundary with the L2 Norm estimates is presented.

Copyright © 2012 by ASME
Topics: Stability

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