Model following adaptive control for a robot with flexible joints

In this paper we introduce a method based on model following adaptive control for non-linear flexible joint robots with time-varying parameters. A dynamic model of a manipulator with flexible joint is derived to establish the control law. Under the assumption of weak joint elasticity, a singular perturbation argument is used to show that recent adaptive control results for flexible-joint robots. In this strategy a plant should follow a suitable model reference. Despite of imprecise parameters of the manipulator and presence of joints flexibility, the tracking error will converge to zero and the robot stability is guaranteed. A 5 bar linkage robot with three revolute flexible joints is considered as a case study. Simulation results show the effectiveness of the proposed method.

[1]  Woosoon Yim,et al.  Adaptive control of a flexible joint manipulator , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[2]  Karam Z. Karam Self-tuning control of robot manipulators , 1991 .

[3]  Karl Johan Åström,et al.  Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.

[4]  I. Kanellakopoulos,et al.  Systematic Design of Adaptive Controllers for Feedback Linearizable Systems , 1991, 1991 American Control Conference.

[5]  Petar V. Kokotovic,et al.  An integral manifold approach to the feedback control of flexible joint robots , 1987, IEEE J. Robotics Autom..

[6]  An-Chyau Huang,et al.  Adaptive sliding control for single-link flexible-joint robot with mismatched uncertainties , 2004, IEEE Transactions on Control Systems Technology.

[7]  Mohamed A. Zohdy,et al.  An Adaptive Control Scheme for Oscillatory Servo Systems , 1985, IEEE Transactions on Industrial Electronics.

[8]  D. Wang,et al.  A Teaching Robot for Demonstrating Robot Control Strategies , 1993, Robotica.

[9]  P. Tomei A simple PD controller for robots with elastic joints , 1991 .

[10]  An-Chyau Huang,et al.  Adaptive Control for Flexible-Joint Electrically Driven Robot With Time-Varying Uncertainties , 2007, IEEE Transactions on Industrial Electronics.

[11]  Alin Albu-Schäffer,et al.  Comparison of adaptive and nonadaptive tracking control laws for a flexible joint manipulator , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[12]  Wen-Hong Zhu,et al.  Adaptive control of mixed rigid/flexible joint robot manipulators based on virtual decomposition , 1999, IEEE Trans. Robotics Autom..

[13]  Salvatore Nicosia,et al.  Singular Perturbation Techniques in the Adaptive Control of Elastic Robots , 1985 .

[14]  David W. L. Wang,et al.  On the design of a direct drive 5-bar-linkage manipulator , 1991, Robotica.