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A statistical approach to the harmonic modelling of mechanical manipulators

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A new approach to the analysis and design of robot manipulators is presented. The novel feature resides on a non-standard formulation to the modelling problem. Usually, system descriptions are based on a set of differential equations which, in general, require labirous computations and may be difficult to analyse. Thes facts motivate the need of alternative models based on different mathematical concepts. The proposed statistical approach to the Fourier modelling gives clear guidelines towards the optimization of the robot kinematics and point out structural characteristics of the trajectory planning algorithms.

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