TY - JOUR ID - 111613 TI - Boundary Feedback Stabilization of a Nonlinear Flexible Gantry Manipulator Using Disturbance Observer JO - International Journal of Robotics, Theory and Applications JA - IJR LA - en SN - 2008-7144 AU - Entessari, Farshid AU - Najafi Ardekany, Ali AD - School of Science and Engineering, Sharif University of Technology, International Campus, Kish, I.R. Iran. AD - Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran. Y1 - 2020 PY - 2020 VL - 6 IS - 1 SP - 33 EP - 51 KW - Flexible gantry robot manipulator KW - Distributed parameter system KW - Vibration dissipation KW - Boundary control DO - N2 - This paper aims to develop a boundary control solution for a single-link gantry robot manipulator with one axis of rotation. The control procedure is considered with link’s transverse vibrations while system undergoes rigid body nonlinear large rotation and translation. Initially, based on Hamilton principle, governing equations of hybrid motions as a set of partial differential equations (PDE) and ordinary differential equations (ODE) will be derived. The control objectives which are sought for include: moving the system to a desired position, regulating large angular position and finally suppressing the flexible link transverse vibrations simultaneously. By considering novel Lyapunov functions and avoiding any simplifications, In the presence of external boundary disturbance, proper control feedback signals and boundary disturbance observer are introduced in order to reach mentioned control objectives and compensate external boundary disturbance effect simultaneously. At last uniform ultimate boundedness of the closed loop system is proven in which by choosing proper design parameters, system states and position error converge exponentially to a small neighborhood of zero.  In order to illustrate the performance of the proposed control method, numerical simulation results are provided. UR - https://ijr.kntu.ac.ir/article_111613.html L1 - https://ijr.kntu.ac.ir/article_111613_b714553b475c100bdb8bb62d647947ed.pdf ER -