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A Theoretical and Experimental Investigation into the Factors Affecting the Z-Width of a Haptic Display

A Theoretical and Experimental Investigation into the Factors Affecting the Z-Width of a Haptic Display

J. Michael Brown

A thesis submitted to the faculty of Northwestern University in partial fulfillment of the requirements for the degree of Master of Science in Mechanical Engineering, March 1995.

Abstract:

This thesis addresses some of the issues that come up in the implementation of virtual environments for haptic display. In particular, the concept of "Z-width", or dynamic range of achievable impedances, will be used to evaluate the performance of different device configurations. We suggest that an impedance is achievable if it satisfies a robustness property such as passivity. Several factors affecting Z-Width - sample-and-hold, inherent interface dynamics, displacement sensor quantization, and velocity filtering - are discussed. A set of human subject experiments designed to evaluate these factors are described, and experiemental results are presented. A striking result is that inherent interface damping exerts an overwhelming influence on Z-width. Finally, we discuss the practical difficulties of implementing low impedances with a damped haptic display, introducing the concept of "frequency-dependent damping."

To view the entire thesis (~70 pages):