For joint tracking control of flexible robots, this paper presents a two-step design of controller: the bandwidth modulation with modal feedback approach. First, we focus on the design of rigid part’s motion controller considering the bandwidth of the rigid subsystem. We investigate the relationship between macro joint tracking performance and vibration suppression capability using the bandwidth parameter. After adjusting the bandwidth of rigid motion, the composite control, which is the second step consisting of rigid and flexible sub-controllers, is applied like singular perturbation approach. As the flexible sub-controller, we propose a direct modal feedback controller that is very simple, but effective to suppress the vibration. The validity and effectiveness of the proposed method are verified by experiments using a POSTECH 3-D flexible robot.
Issue Section:
Technical Papers
1.
Cannon
, R. H.
, and Schmitz
, E.
, 1984
, “Initial Experiments on the End-Point Control of a Flexible One-Link Robot
,” Int. J. Robot. Res.
, 3
(3
), pp. 62
–75
.2.
Bayo, E., 1988, “Computed Torque for the Position Control of Open-Chain Flexible Robots,” Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 316–321.
3.
Asada
, H.
, Ma
, Z.-D.
, and Tokumaru
, H.
, 1990
, “Inverse Dynamics of Flexible Robot Arms: Modeling and Computation for Trajectory Control
,” ASME J. Dyn. Syst., Meas., Control
, 112
, pp. 177
–185
.4.
Kwon
, D. S.
, and Book
, W. J.
, 1994
, “A Time-Domain Inverse Dynamic Tracking Control of a Single-Link Flexible Manipulator
,” ASME J. Dyn. Syst., Meas., Control
, 116
(2
), pp. 193
–200
.5.
Zhao, H., and Chen, D., 1993, “Exact and Stable Tip Trajectory Tracking for Multi-Link Flexible Manipulator,” Proc. of IEEE Conf. on Decision and Control, pp. 1371–1376.
6.
Damaren
, C. J.
, 1998
, “Modal Properties and Control System Design for Two-Link Flexible Manipulators
,” Int. J. Robot. Res.
, 17
(6
), pp. 667
–678
.7.
Luca
, A. D.
, Lucibello
, P.
, and Ulivi
, G.
, 1989
, “Inversion Techniques for Trajectory Control of Flexible Robot Arms
,” J. Rob. Syst.
, 6
(4
), pp. 325
–344
.8.
Yim, W., 1993, “End-Point Trajectory Control, Stabilization, and Zero Dynamics of a Three-Link Flexible Manipulator,” Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 468–473.
9.
Trautman, C., and Wang, D., 1996, “Noncollocated Passive Control of a Flexible Link Manipulator,” Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 1107–1114.
10.
Siciliano
, B.
, and Book
, W. J.
, 1988
, “A Singular Perturbation Approach to Control of Lightweight Flexible Manipulators
,” Int. J. Robot. Res.
, 7
(4
), pp. 79
–90
.11.
Lewis, F. L., and Vandegrift, M., 1993, “Flexible Robot Arm Control by a Feedback Linearization/Singular Perturbation Approach,” Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 729–736.
12.
Cetinkunt
, S.
, and Book
, W. J.
, 1990
, “Performance Limitations of Joint Variable-Feedback Controllers Due to Manipulator Structural Flexibility
,” IEEE Trans. Rob. Autom.
, 6
(2
), pp. 219
–231
.13.
Konno
, A.
, Uchiyama
, M.
, Kito
, Y.
, and Murakami
, M.
, 1997
, “Configuration-Dependent Vibration Controllability of Flexible-Link Manipulators
,” Int. J. Robot. Res.
, 16
(4
), pp. 567
–576
.14.
Yoshikawa, T., Murakami, H., and Hosoda, K., 1990, “Modeling and Control of a Three Degree of Freedom Manipulator With Two Flexible Links,” Proc. of the 29th Conf. on Decision and Control, pp. 2532–2537.
15.
Loukianov, A., Dai, Y., and Uchiyama, M., 1997, “Trajectory Tracking of Spatial Flexible Link Manipulators Using Inverse Kinetmatics Solution and Vibration Suppression,” Proc. of Int. Conf. on Advanced Robotics, pp. 221–226.
16.
Arteaga
, M. A.
, 1998
, “On the Properties of a Dynamic Model of Flexible Robot Manipulators
,” ASME J. Dyn. Syst., Meas., Control
, 120
, pp. 8
–14
.17.
Arimoto, S., and Miyazaki, F., 1984, “Stability and Robustness of Pid Feedback Control for Robot Manipulators of Sensory Capability,” Robotics Research: The 1st Int. Symp., MIT Press, Cambridge, MA, pp. 783–799.
18.
Slotine
, J.-J.
, and Li
, W.
, 1987
, “On the Adaptive Control of Robot Manipulators
,” Int. J. Robot. Res.
, 6
(3
), pp. 49
–59
.19.
Sadgeh
, N.
, and Horowitz
, R.,
, 1990
, “Stability and Robustness Analysis of a Class of Adaptive Controllers for Robot Manipulators
,” Int. J. Robot. Res.
, 9
(3
), pp. 74
–92
.20.
Vidyasagar, M., 1993, Nonlinear Systems Analysis, second edition, Prentice Hall, Englewood Cliffs, N.J.
21.
Garcia
, E.
, and Inman
, D. J.
, 1991
, “Modeling of the Slewing Control of a Flexible Structure
,” J. Guidance
, 14
(4
), pp. 736
–742
.22.
Jacobus, R. F., and Serna, M., 1994, “Modal Analysis of a Three Dimensional Flexible Robot,” Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 2962–2967.
23.
Konno
, A.
, and Uchiyama
, M.
, 1995
, “Vibration Suppression Control of Spatial Flexible Manipulators
,” Control Eng. Pract.
, 3
(9
), pp. 1315
–1321
.24.
Gevarter
, W. B.
, 1970
, “Basic Relations for Control of Flexible Vehicles
,” AIAA J.
8
(4
), pp. 666
–672
.25.
Huseyin, K., 1978, Vibrations and Stability of Multiple Parameter Systems, Noordhoff Int. Publishing.
26.
Piche
, R.
, 1990
, “On the Symmetrizability of Structural Control Systems with Noncolocated Sensors and Actuators
,” ASME J. Dyn. Syst., Meas., Control
112
, pp. 249
–252
.27.
Cheong, J., Chung, W. K., and Youm, Y., 2000, “Bandwidth Modulation of Rigid Subsystem for the Class of Flexible Robots,” Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 1478–1483.
28.
Kailath, T., 1980, Linear Systems, Prentice Hall.
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