Journal
MECHANISM AND MACHINE THEORY
Volume 56, Issue -, Pages 89-98Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2012.05.010
Keywords
Three-axis system; Tracking strategy; Tracking performance; Minimum norm least squares solution
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In order to solve the problem of spatial blind region existing in a two-axis photoelectric tracking system, a type of three-axis photoelectric tracking system is designed, which can track the target in the whole space. The kinematical model of the three-axis photoelectric tracking system with a redundant degree of freedom is constructed by quaternion, and a high-speed tracking strategy of the three-axis photoelectric tracking system is proposed based on the minimum norm least squares solution. Via triangular transformation of the three-axis kinematical function, the Moore-Penrose generalized inverse matrix of function is gained, and the minimum norm least squares solution of three-axis angular increments are solved. The results of simulation and experiment show that this tracking strategy does not need the complex optimization process, that the system is able to realize a three-axis linkage continuous tracking movement in whole space, and that the tracking angular increments of three axes get much smaller, so the tracking performance of this tracking strategy is more superior to the two-axis tracking strategy. (C) 2012 Elsevier Ltd. All rights reserved.
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