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JRM Vol.18 No.3 pp. 242-248
doi: 10.20965/jrm.2006.p0242
(2006)

Paper:

Modeling and Stability Analysis of Dynamic Control Through a Soft Interface

Mizuho Shibata, and Shinichi Hirai

Department of Robotics, Ritsumeikan University, 1-1-1 Noji-Higashi, Kusatsu, Shiga 525-8577, Japan

Received:
October 30, 2005
Accepted:
March 23, 2006
Published:
June 20, 2006
Keywords:
soft interface, dynamic object manipulation, viscoelasticity, continuous-discrete time system, modified z-transform
Abstract

To analyze the stability of dynamic control through a soft interface -the viscoelastic material between a manipulating finger and a manipulated object- we model dynamic control through the soft interface in continuous-discrete time. We then formulate dynamics using a modified z-transform in continuous-discrete time for feedback and feedforward control. We show that system stability depends on the viscoelasticity of the soft interface for feedback control. The relationship between material viscosity and sampling time in critical stability is not monotonous, a phenomenon we analyze by root locus. We compare stability analysis by the modified z-transform, simulations based on the Runge-Kutta method, and a regular z-transform, demonstrating that the relationship is specific to a continuous-discrete time.

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Last updated on Aug. 18, 2017