Abstract
We analyze the stability of dynamic object manipulation through asoft interface, the viscoelastic material between a manipulating finger and manipulated object. First, we model a dynamic object manipulation system through a soft interface. The system is described in continuous-discrete time. Second, we formulate the dynamics using the modified z-transform in the continuous-discrete time system for feedback and feedforward control. Thus, we show that the stability of the system depends on viscoelasticity of the soft interface for feedback control. In particular, we point out that, in critical stability, the relationship between material viscosity and sampling time is not monotonous. We also analyze this phenomenon by the root locus method. Next, we compare the stability analysis by the modified z-transform and a regular z-transform. Thus, we demonstrate that the relationship is specific to the continuous-discrete time system. Finally, we confirm the relationship experimentally.
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