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Research Papers

Robust Joint Position Feedback Control of Robot Manipulators

[+] Author and Article Information
Tesheng Hsiao

Department of Electrical and Computer Engineering,
National Chiao Tung University,
1001 Ta Hsueh Road,
Hsinchu, 30010, Taiwan
e-mail: tshsiao@cn.nctu.edu.tw

Mao-Chiao Weng

Institute of Electrical and Control Engineering,
National Chiao Tung University,
1001 Ta Hsueh Road,
Hsinchu, 30010, Taiwan
e-mail: mchiao.weng@gmail.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 25, 2010; final manuscript received December 11, 2012; published online March 28, 2013. Editor: J. Karl Hedrick.

J. Dyn. Sys., Meas., Control 135(3), 031010 (Mar 28, 2013) (11 pages) Paper No: DS-10-1138; doi: 10.1115/1.4023669 History: Received May 25, 2010; Revised December 11, 2012

Most manipulator motion controllers require joint velocity feedback. Whenever joint velocities are not measurable, they are estimated from the joint positions. However, velocity estimates tend to be inaccurate under low-speed motion or low sensor resolution conditions. Moreover, velocity estimators may either be susceptible to model uncertainties or introduce additional dynamics (e.g., phase lag) to the control loop. Consequently, direct substitution of velocity estimates into the controller results in the deterioration of the control performance and robustness margin. Therefore, this paper proposes a robust position-feedback motion controller which gets rid of the problems of uncompensated dynamics and model uncertainties introduced by velocity estimators. Furthermore, a globally asymptotically stable system, which is robust with respective to model parameter variations, is guaranteed. Theoretical analysis and experimental verifications are carried out. The results demonstrate that the proposed controller is robust and outperforms the conventional computed torque plus proportional integral differential (PID) controller.

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References

Figures

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Fig. 1

The augmented system and the linear controller

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Fig. 2

Schema of the two-joint planar manipulator (left). Photograph of the manipulator (right).

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Fig. 3

The desired path of the tip of the 2nd link in the task space

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Fig. 4

Experimental results. Solid line (—): τPID; dashed line (- - -): τLin + τLC; dotted line (.): τLin + τLC + τNC; dash-dotted line (- · -): desired trajectory. (a), (b) Positions of the 1st and 2nd joints. (c), (d) Armature voltages of the 1st and 2nd joints.

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Fig. 5

Position tracking errors. Solid line (—): τPID; dashed line (- - -): τLin + τLC; dotted line (· · ·): τLin + τLC + τNC; (a) 1st joint: t = 0–20 s, (b) 2nd joint: t = 0–20 s, (c) 1st joint: t = 8–12 s, and (d) 2nd joint: t = 8–12 s.

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Fig. 6

Experimental results when m2 increases 33%. Solid line (—): τPID; dashed line (- - -): τLin + τLC; dotted line (· · ·): τLin + τLC + τNC; dash dotted line (- · -): desired trajectory. (a),(b) Positions of the 1st and 2nd joints. (c), (d) Armature voltages of the 1st and 2nd joints.

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Fig. 7

Position tracking errors when m2 increases 33%. Solid line (—): τPID; dashed line (- - -): τLin + τLC; dotted line (.): τLin + τLC + τNC; (a) 1st joint: t = 0–20 s, (b) 2nd joint: t = 0–20 s, (c) 1st joint: t = 8–12 s, and (d) 2nd joint: t = 8–12 s.

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