Application of logarithmic-based parameter and upper bounding estimation rules to adaptive-robust control of robot manipulators
EUROPEAN JOURNAL OF CONTROL, vol.12, no.2, pp.156-170, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 2
- Publication Date: 2006
- Doi Number: 10.3166/ejc.12.156-170
- Journal Name: EUROPEAN JOURNAL OF CONTROL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.156-170
- Istanbul University Affiliated: No
Abstract
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.