11 April 2007 Piezoelectric control of a machine tool with parallel kinematics
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An adaptronic strut, developed for compensation of the influence of geometric faults in machine tools with parallel kinematic structure, is examined. A simple oscillator model of the strut is built. First, the equations of motions for this simplified model are derived analytically. These information are used for designing a single variable state control based on the principles of the optimal least quadratic regulator (LQR). Afterwards, the controller concept is extended applying an additional PI-controller. Secondly, the strut is modeled using the commercial multi-body system simulation software Msc.Adams. The required system state which is not explicitly given within Msc.Adams primarily has to be estimated. For this task a Luenberger observer is implemented. A similar single variable state control is developed and both designs are compared among themselves when the adaptronic strut is examined under external loads. Finally, the strut is implemented into the model of the complete machine tool and its influence on the behavior of the machine tool is treated.
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Christian Rudolf, Christian Rudolf, Jörg Wauer, Jörg Wauer, Christian Munzinger, Christian Munzinger, Martin Weis, Martin Weis, } "Piezoelectric control of a machine tool with parallel kinematics", Proc. SPIE 6527, Industrial and Commercial Applications of Smart Structures Technologies 2007, 65270G (11 April 2007); doi: 10.1117/12.714464; https://doi.org/10.1117/12.714464

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