Noncollocated passivity-based PD control of a single-link flexible manipulator

Robotica

Volumn 21, Issue 2, 2003, Pages 117-135

  Liu, Liang Yih ^a   Yuan, King ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Feedback passivation; Flexible manipulator; Noncollocated system; PD control

Indexed keywords

FEEDBACK CONTROL; MATHEMATICAL MODELS; TRANSFER FUNCTIONS; TWO TERM CONTROL SYSTEMS;

FEEDBACK PASSIVATION; NONCOLLOCATED SYSTEM; SINGLE LINK FLEXIBLE MANIPULATOR;

FLEXIBLE MANIPULATORS;

EID: 0037825045     PISSN: 02635747     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0263574702004538     Document Type: Article

References (31)

1. R.H. Cannon and E. Schmitz, "Initial Experiments on the Control a Flexible Manipulator," Int. J. of Rob. Res. 3, 62-75 (1984).
2. V.A. Spector and H. Flashner, "Modeling and Design Implications of Noncollocated Control in Flexible Systems," ASME J. of Dyn. Sys. Meas. And Contr. 112, 186-193 (1990).
3. J.H. Park and H. Asada, "Dynamic Analysis of Noncollocated Flexible Arms and Design of Torque Transmission Mechanism," ASME J. of Dyn. Sys. Meas. And Contr. 116, 201-207 (1994).
4. A. De Luca and L. Lanari, "Achieving Minimum Phase Behavior in a One-Link Flexible Arm," Proc. Int. Symp. on Intelligent Robotics, Bangalore, India (1991) pp. 325-344.
5. A. De Luca, P. Lucibello and G. Ulivi, "Inversion Techniques for Trajectory Control of Flexible Robot Arms," J. of Rob. Syst. 6, 325-344 (1989).
6. A. De Luca, "Zero Dynamics in Robotics," In: Nonlinear Synthesis (C. I. Byrnes and A. Kurzhansky, Eds.) (Birkhauser, Boston, 1991) pp. 68-87.
7. S.K. Madhavan and S.N. Singh, "Inverse Trajectory control and Zero Dynamics Sensitivity of an Elastic Manipulator," Proc. 1991 Amer. Contr. Conf., Boston, MA (1991) pp. 1879-1884.
8. D. Wang and M. Vidyasagar, "Transfer Function for a Single-Flexible-Link," Int. J. Rob. Res. 10, 540-549 (1991).
9. T.J. Tarn, C. Guo and A.K. Bejczy, "Issues in the Zeros of Flexible Robot Systems," Proc. 32nd Allerton Conf. on Communication, Control and Computing (1994) pp. 641-650.
10. P.A. Chodavarapu and M.W. Spong, "On Noncollocated Control of a Single Flexible Link," Proc. IEEE Int. Conf. on Rob. Autom., Minneapolis, Minnesota (1996) pp. 1101-1106.
11. K. Yuan and L.Y. Liu, "Achieving Minimum Phase Transfer Function for a Noncollocated Single-Link Flexible Manipulator," Asian J. of Control 2, 179-191 (2000).
12. D. Wang and M. Vidyasagar, "Passive Control of a Stiff Flexible Link," Int. J. of Rob. Res. 11, 572-578 (1992).
13. C.A. Desoer and M. Vidyasagar, Feedback System: Input-Output Properties (Academic Press, New York, 1975).
14. N. Balabanian and T. Bickart, Electrical Network Theory (John Wiley & Sons Inc., New York, 1969).
15. W. Gevarter, "Basic Relation for Control of Flexible Vehicles," AIAA J. 8, 666-672 (1970).
16. E. Barbieri, "Single-Input/Single-Output Transfer Functions for a Flexible Slewing Link," J. of Rob. Syst. 10, 913-929 (1993).
17. R.E. Goodson, "Distributed System Simulation Using Infinite Product Expansions," Simulation, 255-263 (1970).
18. H. Jeffreys and B.S. Jeffreys, Method of Mathematical Physics (2nd edition, Cambridge Univ, Press, 1950).
19. A.G. Chassiakos and G.A. Bekey, "On the Modeling and Control of a Flexible Manipulator Arrn by Point Actuators," Proc. of 25th Conf. on Decision and Control, Athens, Greece (1986) pp. 1145-1150.
20. A. De Luca and B. Siciliano, "Inversion-Based Nonlinear Control of Robot Arms with Flexible Links," J. of Guid. Contr. and Dyn. 16, 1169-1176 (1993).
21. M. Rossi, K. Zuo and D. Wang, "Issues in the Design of Passive Controllers for Flexible Link Robots," Proc. 1994 IEEE Int. Conf. on Rob. Autom., San Diego, CA (1994) pp. 321-326.
22. R. Lozano, B. Brogliato, O. Egeland and B. Maschke, Dissipative Systems Analysis and Control: Theory and Application (Springer-Verlag, London, 2000).
23. H.R. Pota and M. Vidyasagar, "Passivity of Flexible Beam Transfer Functions with Modified Outputs," Proc. 1991 IEEE Int. Conf. on Rob. Autom., Sacramento, CA (1991) pp. 2826-2831.
24. M.E. Rossi and D.W.L. Wang, "Hybrid Passive/Adaptive Control of a Single Flexible Link Manipulator with a Payload," Proc. 1996 IEEE Int. Conf. on Rob. Autom., Minneapolis, Minnesota (1996) pp. 2109-2116.
25. A. Saberi, P.V. Kokotovic and H.J. Sussmann, "Global Stabilization of Partially Linear Composite Systems," SIAM J. Control and Optimization 28, 1491-1503 (1990).
26. C.I. Byrnes, A. Isidori and J.C.Willems, "Passivity, Feedback Equivalence, and the Global Stabilization of Minimum Phase Nonlinear Systems," IEEE Trans. on Automatic Control 36, 1228-1240 (1991).
27. I. Godler, A. Akahane, K. Ohnishi and T. Yamashita, "A Novel Rotary Acceleration Sensor," IEEE Control Systems Magazine, 56-60 (1995).
28. M.O. Tokbi and A.K.M. Azad, "Modeling of a Single-Link Manipulator System: Theoretical and Practical Investigations," Robotica 14, Part 1, 91-102 (1996).
29. Y. Sakawa, "Feedback Control of Second Order Evolution Equation with Damping," SIAM J. Contr. and Opt. 22, 343-361 (1984).
30. Z.H. Luo, "Direct Strain Feedback Control of Flexible Robot Arms: New Theoretical and Experimental Results," IEEE Trans, on Automatic Control 38, 1610-1622 (1993).
31. Z.H. Luo and B.Z. Guo, "Shear Forces Feedback of a Single-Link Flexible Robot with a Revolute Joint," IEEE Trans. on Automatic Control 42, 53-65 (1997).