A Projection Method for the Elimination of Contradicting Decentralized Control Forces in Redundantly Actuated PKM

Decentralized individual control is still the state of the art in industrial applications. While redundantly actuated parallel kinematic machine (RA-PKM) possess desirable kinematic and dynamic properties, their control is impeded by the occurrence of antagonistic control forces. Such antagonistic forces are inherent to the decentralized control of RA-PKM that, together with calibration errors and finite encoder resolutions, causes antagonistic control forces and excited vibrations, and, hence, energy loss and instabilities. The effect of measurement errors and the stability of individual PD control are analyzed in this paper. The central result is a projection method for the elimination of contradicting control commands, which is applicable to general decentralized control schemes. Experimental results are presented for a 2 (R) under bar RR/(R) under barR implementation. The results confirm that the proposed method reduces antagonistic control forces up to measurement errors and model uncertainties.