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Unconstrained and constrained motion control of a planar two-link structurally flexible robotic manipulator
B.-O. Choi,
K. Krishnamurthy,
B.-O. Choi
Department of Mechanical and Aerospace Engineering and Engineering Mechanics University of Missouri-Rolla Rolla, Missouri 65401–0249
Search for more papers by this authorCorresponding Author
K. Krishnamurthy
Department of Mechanical and Aerospace Engineering and Engineering Mechanics University of Missouri-Rolla Rolla, Missouri 65401–0249
Department of Mechanical and Aerospace Engineering and Engineering Mechanics University of Missouri-Rolla Rolla, Missouri 65401–0249Search for more papers by this authorB.-O. Choi,
K. Krishnamurthy,
B.-O. Choi
Department of Mechanical and Aerospace Engineering and Engineering Mechanics University of Missouri-Rolla Rolla, Missouri 65401–0249
Search for more papers by this authorCorresponding Author
K. Krishnamurthy
Department of Mechanical and Aerospace Engineering and Engineering Mechanics University of Missouri-Rolla Rolla, Missouri 65401–0249
Department of Mechanical and Aerospace Engineering and Engineering Mechanics University of Missouri-Rolla Rolla, Missouri 65401–0249Search for more papers by this authorAbstract
Unconstrained and constrained motion control of a planar two-link structurally-flexible robotic manipulator are considered in this study. The dynamic model is obtained by using the extended Hamilton's principle and the Galerkin criterion. A method is presented to obtain the linearized equations of motion in Cartesian space for use in designing the control system. The approach to solving the control problem is to use feedforward and feedback control torques. The feedforward torques maneuver the flexible manipulator along a nominal trajectory and the feedback torques minimize any deviations from the nominal trajectory. The feedforward and feedback torques are obtained by solving the inverse dynamics problem for the rigid manipulator and designing linear quadratic Gaussian with loop transfer recovery (LQG/LTR) compensators, respectively. The LQG/LTR design methodology is exploited to design a robust feedback control system that can handle modeling errors and sensor noise, and operate on Cartesian space trajectory errors. Computer simulated results are presented for an example planar, two-link, structurally flexible robotic manipulator. © 1994 John Wiley & Sons, Inc.
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