Title :
Robust control by inverse optimal PID approach for flexible joint robot manipulator
Author :
Ha, Tae-Jun ; Lee, Jaeyoung ; Park, Jong Hyeon
Author_Institution :
Dept. of Mech. Eng., Hanyang Univ., Seoul
Abstract :
This paper proposes a robust inverse-optimal control for flexible joint robot manipulator in order to cope with parameter uncertainties. In the first step, a virtual control input was designed as PED form with 2 gain tuning conditions. In the second and third steps, the other virtual input and actual control torque were made using the saturation-type nonlinear control based on the Lyapunov´s second method. The controller does not need information of acceleration and jerk of motor side as well as link side. In addition, the one is able to apply to actual robot controller by reducing calculation time caused by nonlinear matrix inequality (NLMI) solving. The robustness was shown in the simulation result through 2-DOF robot manipulator which has flexible joint.
Keywords :
Lyapunov methods; control nonlinearities; control system synthesis; flexible manipulators; manipulator dynamics; matrix algebra; nonlinear control systems; optimal control; robust control; three-term control; torque control; uncertain systems; Lyapunov method; PED form; control torque; degree-of-freedom; dynamic equation; flexible joint robot manipulator; gain tuning conditions; nonlinear matrix inequality; parameter uncertainties; robust inverse optimal PID control; saturation-type nonlinear control; virtual control input design; Acceleration; Linear matrix inequalities; Manipulator dynamics; Mechanical engineering; Optimal control; Robot control; Robot kinematics; Robust control; Three-term control; Uncertain systems; Back stepping; Flexible joint; Inverse-Optimal Control; PID; Robot Manipulator; Robust Control;
Conference_Titel :
Robotics and Biomimetics, 2007. ROBIO 2007. IEEE International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-1761-2
Electronic_ISBN :
978-1-4244-1758-2
DOI :
10.1109/ROBIO.2007.4522184