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Research Papers

Real-Time Trajectory Generation for Haptic Feedback Manipulators in Virtual Cockpit Systems

[+] Author and Article Information
Shiyu Zhang

State Key Laboratory of Virtual Reality
Technology and Systems,
Beihang University,
XueYuan Road No.37, HaiDian District,
Beijing 100191, China
e-mail: zhangshiyu@buaa.edu.cn

Shuling Dai

State Key Laboratory of
Virtual Reality Technology and Systems,
Beihang University,
XueYuan Road No.37, HaiDian District,
Beijing 100191, China
e-mail: sldai@buaa.edu.cn

1Corresponding author.

Contributed by the Computers and Information Division of ASME for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received December 7, 2017; final manuscript received August 2, 2018; published online September 7, 2018. Assoc. Editor: Caterina Rizzi.

J. Comput. Inf. Sci. Eng 18(4), 041015 (Sep 07, 2018) (11 pages) Paper No: JCISE-17-1296; doi: 10.1115/1.4041166 History: Received December 07, 2017; Revised August 02, 2018

To obtain real-time interactions in the virtual cockpit system (VCS), a real-time trajectory generation method based on dynamical nonlinear optimization and regression prediction for the haptic feedback manipulator (HFM) is presented in this paper. First, a haptic feedback system based on servoserial manipulator is constructed. Then, the trajectory planning problem for the HFM is formulated as a nonlinear optimization problem to balance the motion time and power consumption and ensure the safety of physical human–robot interactions (pHRI). Multiple optimization problems are solved to generate the optimal database off-line. Finally, the classified multivariate (CM) regression method is presented to learn the database and generate optimal trajectories with arbitrary initial and objective positions on-line. Results show that trajectories with rapidity, safety, and lower power consumption can be generated in real-time by this method, which lay a basis of haptic interactions in the VCS.

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References

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Figures

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Fig. 1

Components of haptic feedback system based on servo serial manipulator: (a) schematic diagram and (b) prototype

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Fig. 2

Work flow of haptic feedback system

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Fig. 3

Interaction of the control panel and user's hand: (a) haptic feedback in real world and (b) visual feedback in virtual environment

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Fig. 4

The structure of the HFM (1—waist, 2—shoulder, 3—elbow, 4—pitching wrist joint, 5—yawing wrist joint, and 6—rotating wrist joint)

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Fig. 5

Denavit–Hartenberg coordinate system of the HFM

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Fig. 6

End-effector trajectory of HFM (dashed: trajectories generated in every period and solid: the actual trajectory of the whole process)

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Fig. 7

Real-time trajectory generation base on regression and prediction

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Fig. 8

Motion curve (solid: nonlinear optimization, dashed: CM-6-NN, and dotted–dashed: CM-LWR; red: joint 1, green: joint 2, and blue: joint 3): (a) velocity, (b) accelerate, (c) torque, and (d) linear velocity

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Fig. 9

The reachable workspace and the control panel area of the HFM: (a) spatial point cloud, (b) projection on plane xy, (c) projection on plane xz, and (d) projection on plane yz

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Fig. 10

Database of the initial and objective points

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Fig. 11

eF with different database sizes (k-NN)

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Fig. 14

TR of k-NN with different ks

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Fig. 12

Variation trend of the weighting coefficient: (a) k-NN method and LWR method with larger λ and (b) LWR method with smaller λ

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Fig. 13

eF with different database sizes (LWR)

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