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In the previous study in [9], it has also been argued that the maximum position error (when distance estimation errors are positive) is difficult to compute because the problem is formulated as a nonconvex problem; however, by means of a relaxation technique, an upper bound on the position error can be obtained efficiently [9].
In the next simulations, we compare the upper bounds with the maximum position error.
Compared with the measurement result of CMM, the maximum position error of the measurement system is 0.025 mm.
In this situation, the maximum position error between a pin and an entering hole is 10.58 mm.
For every realization of the network, we run POCS for 200 random initializations and take the maximum position error.
In a direct response to these problems, this paper presents a simple geometric approach to computing the exact local maximum position error and local maximum orientation error, given actuator inaccuracies.
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The prototype backhoe with hydraulic control system had maximum position errors of 3 cm for vertical, horizontal, and slope movements with intuitive coordinate operations, making it more functional for performing various excavating tasks in natural and effective ways.
Less than 5% maximum positioning error is obtained.
A recent study estimates the maximum positioning error to be 46 km [45].
A setup geometry was derived and verified to give approximately 0.1-mm maximum positioning errors.
Figure 6 Comparison between CDF of relative tightness of upper bounds versus maximum POCS position error.
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