Application of logarithmic-based parameter and upper bounding estimation rules to adaptive-robust control of robot manipulators

Burkan R. , Uzmay I.

EUROPEAN JOURNAL OF CONTROL, cilt.12, sa.2, ss.156-170, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 12 Konu: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.3166/ejc.12.156-170
  • Sayfa Sayıları: ss.156-170


This paper presents a new adaptive-robust control law for robot manipulators with parametric uncertainty. The control law for n-link robot manipulators using the Lyapunov-based theory of guaranteed stability of uncertain system is derived by means of analytical approach. The proposed adaptive-robust control law includes an adaptive dynamic compensation, robust feedforward compensators with an adaptive upper bounding function and a PD feedforward part, and both system parameters and robust feedforward compensator are updated in time. As distinct from similar studies, the manipulator parameters are updated with a logarithmic function depending on manipulator kinematics, inertia parameters and tracking error and on the other hand, robust compensator is updated as a function of uncertainty bound, robot kinematics and tracking error. The developed approach has the advantages of both adaptive and robust control laws, and besides it eliminates disadvantages of them.