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Research Papers

Trajectory and Vibration Control of a Single-Link Flexible-Joint Manipulator Using a Distributed Higher-Order Differential Feedback Controller

[+] Author and Article Information
John T. Agee

Discipline of Electrical Engineering,
University of KwaZulu-Natal,
Durban 4001, South Africa
e-mail: ageej@ukzn.ac.za

Zafer Bingul

Department of Mechatronics Engineering,
Kocaeli University,
İzmit 41380, Kocaeli, Turkey
e-mail: zaferb@kocaeli.edu.tr

Selcuk Kizir

Department of Mechatronics Engineering,
Kocaeli University,
İzmit 41380, Kocaeli, Turkey
e-mail: selcuk.kizir@kocaeli.edu.tr

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 27, 2016; final manuscript received January 19, 2017; published online May 24, 2017. Assoc. Editor: Dumitru I. Caruntu.

J. Dyn. Sys., Meas., Control 139(8), 081006 (May 24, 2017) (9 pages) Paper No: DS-16-1371; doi: 10.1115/1.4035873 History: Received July 27, 2016; Revised January 19, 2017

The trajectory tracking in the flexible-joint manipulator (FJM) system becomes complicated since the flexibility of the joint of the FJM superimposes vibrations and nonminimum phase characteristics. In this paper, a distributed higher-order differential feedback controller (DHODFC) using the link and joint position measurement was developed to reduce joint vibration in step input response and to improve tracking behavior in reference trajectory tracking control. In contrast to the classical higher-order differential (HOD), the dynamics of the joint and link are considered separately in DHODFC. In order to validate the performance of the DHODFC, step input, trajectory tracking, and disturbance rejection experiments are conducted. In order to illustrate the differences between classical HOD and DHODFC, the performance of these controllers is compared based on tracking errors and energy of control signal in the tracking experiments and fundamental dynamic characteristics in the step response experiments. DHODFC produces better tracking errors with almost same control effort in the reference tracking experiments and a faster settling time, less or no overshoot, and higher robustness in the step input experiments. Dynamic behavior of DHODFC is examined in continuous and discontinues inputs. The experimental results showed that the DHODFC is successful in the elimination of the nonminimum phase dynamics, reducing overshoots in the tracking of such discontinuous input trajectories as step and square waveforms and the rapid damping of joint vibrations.

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References

Dwivedy, S. K. , and Eberhard, P. , 2006, “ Dynamic Analysis of Flexible Manipulators: A Literature Review,” Mech. Mach. Theory, 41(7), pp. 749–777. [CrossRef]
Albu-Schäffer, A. , and Hirzinger, G. , 2000, “ State Feedback Controller for Flexible Joint Robots: A Globally Stable Approach Implemented on DLR’s Light-Weight Robots,” IROS, Oct. 31–Nov. 5, pp. 1087–1093.
Chien, M. C. , and Huang, A. C. , 2007, “ Adaptive Control for Flexible-Joint Electrically Driven Robot With Time-Varying Uncertainties,” IEEE Trans. Ind. Electron., 54(2), pp. 1032–1038. [CrossRef]
Kim, D. H. , and Oh, W. H. , 2006, “ Robust Control Design for Flexible Joint Manipulators: Theory and Experimental Verification,” Int. J. Control Autom., Syst., 4(4), pp. 495–505.
Moberg, S. , Wernholt, E. , Hanssen, S. , and Brogårdh, T. , 2014, “ Modeling and Parameter Estimation of Robot Manipulators Using Extended Flexible Joint Models,” ASME J. Dyn. Syst. Meas. Control, 136(3), p. 031005. [CrossRef]
Sira-Ramirez, H. , Ahmad, S. , and Zribi, M. , 1992, “ Dynamic Feedback Control of Robotic Manipulators With Joint Flexibility,” IEEE Trans. Syst. Man Cybern., 22(44), pp. 736–747. [CrossRef]
Yavuz, H. , Mıstıkoglu, S. , and Kapucu, S. , 2011, “ Hybrid Input Shaping to Suppress Residual Vibration of Flexible Systems,” J. Vib. Control, 18(1), pp. 132–140. [CrossRef]
Talole, S. E. , Kolhe, J. P. , and Phadke, S. B. , 2010, “ Extended-State-Observer-Based Control of Flexible-Joint System With Experimental Validation,” IEEE Trans. Ind. Electron., 57(4), pp. 1411–1419. [CrossRef]
Yim, W. , 2001, “ Adaptive Control of a Flexible Joint Manipulator,” IEEE International Conference on Robotics and Automation (ICRA), Seoul, South Korea, May 21–26, pp. 3441–3446.
Zhan, Z. , and Hu, C. , 2012, “ Predictive Function Control of the Single-Link Manipulator With Flexible Joint,” Applications of Nonlinear Control, M. Altınay , ed., InTech, Rijeka, Croatia, pp. 129–146.
Akyuz, I . H. , Bingul, Z. , and Kizir, S. , 2012, “ Cascade Fuzzy Logic Control of a Single-Link Flexible-Joint Manipulator,” Turk. J. Electr. Eng. Comput. Sci., 20(5), pp. 713–725.
Chatlatanagulchai, W. , and Meckl, P. H. , 2009, “ Model-Independent Control of a Flexible-Joint Robot Manipulator,” ASME J. Dyn. Syst. Meas. Control, 131(4), p. 041003.
Jang, J. R. , Sun, C. T. , and Mizutani, E. , 1997, Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence, Prentice Hall, Upper Saddle River, NJ.
Lee, J. X. , and Vukovich, G. , 1998, “ Fuzzy Logic Control of Flexible Link Manipulators-Controller Design and Experimental Demonstrations,” IEEE International Conference on Systems, Man and Cybernetic (ICSMC), San Diego, CA, Oct. 11–14, Vol. 2, pp. 2002–2007.
Maouche, A. R. , and Attari, M. , 2008, “ Adaptive Neural Control of a Rotating Flexible Manipulator,” IEEE International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM), Ischia, Italy, June 11–13, pp. 517–522.
Siddique, M. N. H. , and Tokhi, M. O. , 2002, “ GA-Based Neuro-Fuzzy Controller for Flexible-Link Manipulator,” International Conference on Control Applications (CCA), Glasgow, UK, Sept. 18–20, pp. 471–476.
Subudhi, B. , and Morris, A. S. , 2003, “ Fuzzy and Neuro-Fuzzy Approaches to Control a Flexible Single-Link Manipulator,” Proc. Inst. Mech. Eng. Part I, 217(5), pp. 387–399. [CrossRef]
Agee, J. T. , Kizir, S. , and Bingul, Z. , 2015, “ Intelligent Proportional-Integral (IPI) Control of a Single Link Flexible Joint Manipulator,” J. Vib. Control, 21(11), pp. 2273–2288. [CrossRef]
Fliess, M. , and Join, C. , 2008, “ Intelligent PID Controllers,” 16th Mediterranean Conference on Control and Automation Congress Centre, Ajaccio, France, June 25–27, pp. 326–331.
Fliess, M. , and Join, C. , 2013, “ Model-Free Control,” Int. J. Control, 86(12), pp. 2228–2252. [CrossRef]
Agee, J. T. , Bingul, Z. , and Kizir, S. , 2015, “ Higher-Order Differential Feedback Control of a Flexible-Joint Manipulator,” J. Vib. Control, 21(10), pp. 1976–1986. [CrossRef]
Kandroodi, M. R. , Mansouri, M. , Shoorehdeli, M. A. , and Teshnehlab, M. , 2012, “ Control of Flexible Joint Manipulator Via Reduced Rule-Based Fuzzy Control With Experimental Validation,” ISRN Artif. Intell., 2012, pp. 1–8. [CrossRef]
Qi, G. , Chen, Z. , and Yuan, Z. Z. , 2005, “ Model Free Control of Affine Chaotic Systems,” Phys. Lett. A, 344(2–4), pp. 189–202. [CrossRef]
Qi, G. , Chen, Z. , and Yuan, Z. , 2008, “ Adaptive High Order Differential Feedback Control for Affine Nonlinear Systems,” Chaos Solitons Fractals, 37(1), pp. 308–315. [CrossRef]
Kapucu, S. , Baysec, S. , and Alici, G. , 2006, “ Residual Vibration Suppression of a Flexible Joint System Using a Systematic Command Shaping Technique,” Arabian J. Sci. Eng., 31(2B), pp. 139–152.

Figures

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Fig. 1

FJM experimental setup

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Fig. 2

The single-link FJM

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Fig. 3

A block diagram presentation of the classical HODFC implementation

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Fig. 4

A block diagram presentation of the distributed HODC implementation

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Fig. 5

Step input performances of the classical and distributed HODFC

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Fig. 6

Square-wave tracking trajectory tracking performances of the classical and distributed HODFC

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Fig. 7

Kane trajectory tracking performances of the classical and distributed HODFC

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Fig. 8

Sine trajectory tracking performances of the classical and distributed HODFC

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Fig. 9

Disturbance rejection performances of the classical and distributed HODFC—normal link

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Fig. 10

Disturbance rejection performances of the classical and distributed HODFC—long link

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