Nonlinear ultimate boundedness control and stabilization of a flexible robotic arm
Journal of Robotic Systems
First page number:
Last page number:
We treat the question of control of an elastic robotic arm of two links. Of course, this approach can be extended to other elastic arms. A nonlinear ultimate boundedness controller (UBC) is synthesized such that in the closed-loop system the joint angle tracking error is uniformly bounded and tends to a certain small neighborhood of the origin. The controller includes a reference joint angle trajectory generator and integral error feedback. Although the joint angles are controlled using the UBC, elastic modes are excited. A feedback stabilizer is designed for the linearized model including the UBC about the terminal state that is switched only in the vicinity of the equilibrium state for stabilization. Simulation results are presented to show that in the closed-loop system including the UBC and the stabilizer accurate joint angle trajectory following and elastic mode stabilization are accomplished in the presence of uncertainty.
Control theory; Linear control systems; Pole assignment; Robotics--Design; Robots--Control systems
Controls and Control Theory | Electrical and Computer Engineering | Robotics
Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.
Nathan, P. J.,
Singh, S. N.
Nonlinear ultimate boundedness control and stabilization of a flexible robotic arm.
Journal of Robotic Systems, 9(3),