İki kollu esnek manipulatörlerde yörünge kontrolü

Bu çalışmada, iki kollu esnek bir manipülatörün yörünge kontrolü ele alınmıştır. Rijit cisim dinamiği kullanılarak elde edilen kinematik ve kinetik büyüklükler, esnek cismin uç nokta yer değiştirmesini bulmada kullanılmıştır. Sonlu elemanlar metoduyla modellenmiş olan manipülatörün doğal frekansları, mod şekilleri ve uç noktasının sapması modal analiz metoduyla hesaplanmıştır. Kontrol için herbir örnekleme anında yörünge üzerindeki uç noktanın sapma miktarı, hızı ve ivmesi farklı kontrol katsayılarıyla çarpılarak kollara uygulanan torklar belirlenmiştir. Farklı kontrol katsayıları kullanılarak elde edilen sonuçlar karşılaştırılmıştır. Yapılan çalışma sonunda uç noktanın sapma miktarının bu metodla önemli ölçüde azaldığı görülmüştür.

Trajectory control of two-arm flexible manipulators

In this study, trajectory control of a two-arm flexible robot manipulator is investigated. The kinematic and kinetic parameters derived by the rigid body dynamics are used in the evaluation of end-point deformation of the flexible body. Finite element method is employed in obtaining the mathematical model. Natural frequencies, mode shapes and end-point deflections of the manipulator are calculated by modal analysis. The end-point deflection, velocity and acceleration are multiplied by different control gain constants in order to find the hub torques, which are the inputs of the system. The results obtained by different control gain constants are compared. At the end of the study, it is concluded that it is possible to decrease the deformation amplitude of the end point of the manipulator significantly by the method presented.

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1. Cannon R.H. ve Schmitz Jr. E., “Initial Experiments on End-Point Control of Flexible One-link Robot”, The International Journal of Robotics Research, 3, 62-75, 1984.

2. Hu F.L. ve Ulsoy A.G., “Dynamic Modelling of Constrained Flexible Robot Arms for Controller Design”, ASME Journal of Dynamic Systems, Measurement, and Control, 116, 56-65, 1994.

3. Madhavan S.K. ve Singh S.N., “Variable Structure Trajectory Control of an Elastic Robotic Arm”,Journal of Robotic Systems, 10(1), 23-44, 1993.

4. Korayem M.H. ve Basu A., “Formulation and Numerical Solution of Elastic Robot Dynamic Motion With Maximum Load Carrying Capacities”, Robotica, 12, 253-261, 1994.

5. Chang L.W. ve Hamilton J.F., “Dynamics of Robotic Manipulators with Flexible Links”, ASME Journal of Dynamic Systems, Measurement, and Control, 113, 54-59, 1991.

6. Lee J.D. ve Wang B.L., “Dynamic Equations for a Two-Link Flexible Robot Arm”, Computers & Structures, 29, 469-477, 1988.

7. Karagülle H. ve Orhan S., “Effect of Flexibility on Trajectories of Manipulators”, The Fourth International Conference on Control, Automation, Robotics and Vision (ICARCV ’96), Singapore, 553-557, 1996.

8. Gawronski W., Ih C.-H.C. ve Wang S.J., “On Dynamics and Control of Multi-Link Flexible Manipulators”, ASME Journal of Dynamic Systems, Measurement, and Control, 117, 134-142, 1995.

9. Yigit A.S., “On the Stability of PD Control for a Two-Link Rigid-Flexible Manipulator”, ASME Journal of Dynamic Systems, Measurement, and Control, 116, 208-215, 1994.

10. Xia J.Z. ve Menq C.H., “Real Time Estimation of Elastic Deformation for End-Point Tracking Control of Flexible Two-Link Manipulators”, ASME Journal of Dynamic Systems, Measurement,and Control, 115, 385-393, 1993.

11. Panza M.J. ve Mayne R.W., “Hydraulic Actuator Tuning in the Control of a Rotating Flexible Beam Mechanism”, ASME Journal of Dynamic Systems, Measurement, and Control, 118, 449-456,1996.

12. Arimoto S. ve Naniwa T., “Learning Control for Robot Motion Under Geometric End-Point Constraint”, Robotica, 12, 101-108, 1994.

13. Kireçci A., “Robotik Sistemler İçin Öğrenme Yoluyla Kontrol”, 8. Ulusal Makina Teorisi Sempozyumu,Fırat Üniversitesi, Elazığ, 250-259, 1997.

14. Petyt M., Introduction to Finite Element Vibration Analysis, Cambridge University Press First Edition,1990.

15. Thomson W.T., Theory of Vibration With Applications, London Chapman & Hall Fourth Edition,1993.

16. 16.Charpa S.C. ve Canale R.P., Numerical Methods for Engineers, McGraw-Hill Second Edition,1990.

17. Keskinkılıç İ., “İki Kollu Esnek Manipulatörlerde Yörünge Kontrolü”, Yüksek Lisans Tezi, Kırıkkale Üniversitesi, 1998.