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Journal articles on the topic 'Hybrid Cartesian'

Author: Grafiati

Published: 25 January 2025

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1

OKAZAKI, Takeo, Bing hu PIAO, and Shigeaki KURODA. "Cartesian/Structured Hybrid Grid Method for Viscous flows." Proceedings of Conference of Kanto Branch 2002.8 (2002): 505–6. http://dx.doi.org/10.1299/jsmekanto.2002.8.505.

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2

Backes, P. G., G. G. Leininger, and Chun-Hsien Chung. "Joint Self-Tuning With Cartesian Setpoints." Journal of Dynamic Systems, Measurement, and Control 108, no. 2 (June 1, 1986): 146–50. http://dx.doi.org/10.1115/1.3143757.

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A joint coordinate self-tuning manipulator control method is presented which uses Cartesian setpoints. The method is capable of both position and hybrid control. Position and force errors are transformed from Cartesian coordinates to position and force errors at the joints. The position and force errors at each joint are combined into one hybrid error that is eliminated using pole-placement self-tuning. Real time position and hybrid control results are given. No prior knowledge of manipulator or load dynamics is required and real time control results show that the goal of consistent control with changing load dynamics is achieved. The major cause of error in position and hybrid control is the large friction effects in the joints.

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3

Han, Ping, Hiroyuki Kojima, Lingfang Huang, and Saputra Meruadi. "Grasp Transfer Control Using Cartesian Coordinate Two-Link Robot Arm with Prototype Robot Hand Consisting of Stepping Motors, Gears and Plate Springs." International Journal of Automation Technology 2, no. 5 (September 5, 2008): 360–67. http://dx.doi.org/10.20965/ijat.2008.p0360.

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In this study, the grasp transfer control system by a Cartesian coordinate two-link robot arm with a prototype robot hand is presented. The prototype robot hand consists of permanent-magnet-type stepping motors, gears and plate springs. The grasp force control of the robot hand is performed by a feedforward control of the stepping motors based on the dimension of a grasped object. The Cartesian coordinate two-link robot arm consists of ball screws and hybrid stepping motors. Then the numerical simulations and experiments of the grasp transfer control have been carried out, and it is confirmed that the grasp transfer control could be successfully performed, and the grasp force could be accurately controlled among the motion control of the Cartesian coordinate two-link robot arm.

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4

Zhang, Laiping, Wei Liu, Lixin He, and Xiaogang Deng. "A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations." Communications in Computational Physics 12, no. 1 (July 2012): 284–314. http://dx.doi.org/10.4208/cicp.210111.140711a.

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AbstractA concept of “static reconstruction” and “dynamic reconstruction” was introduced for higher-order (third-order or more) numerical methods in our previous work. Based on this concept, a class of hybrid DG/FV methods had been developed for one-dimensional conservation law using a “hybrid reconstruction” approach, and extended to two-dimensional scalar equations on triangular and Cartesian/triangular hybrid grids. In the hybrid DG/FV schemes, the lower-order derivatives of the piece-wise polynomial are computed locally in a cell by the traditional DG method (called as “dynamic reconstruction”), while the higher-order derivatives are re-constructed by the “static reconstruction” of the FV method, using the known lower-order derivatives in the cell itself and in its adjacent neighboring cells. In this paper, the hybrid DG/FV schemes are extended to two-dimensional Euler equations on triangular and Cartesian/triangular hybrid grids. Some typical test cases are presented to demonstrate the performance of the hybrid DG/FV methods, including the standard vortex evolution problem with exact solution, isentropic vortex/weak shock wave interaction, subsonic flows past a circular cylinder and a three-element airfoil (30P30N), transonic flow past a NACA0012 airfoil. The accuracy study shows that the hybrid DG/FV method achieves the desired third-order accuracy, and the applications demonstrate that they can capture the flow structure accurately, and can reduce the CPU time and memory requirement greatly than the traditional DG method with the same order of accuracy.

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5

Kashmar, G., and O. Nalcioglu. "Cartesian echo planar hybrid scanning with two to eight echoes." IEEE Transactions on Medical Imaging 10, no. 1 (March 1991): 1–10. http://dx.doi.org/10.1109/42.75606.

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6

Weinzierl, Marion, and Tobias Weinzierl. "Quasi-matrix-free Hybrid Multigrid on Dynamically Adaptive Cartesian Grids." ACM Transactions on Mathematical Software 44, no. 3 (April 26, 2018): 1–44. http://dx.doi.org/10.1145/3165280.

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7

Luo, Hong, Joseph D. Baum, and Rainald Löhner. "A hybrid Cartesian grid and gridless method for compressible flows." Journal of Computational Physics 214, no. 2 (May 2006): 618–32. http://dx.doi.org/10.1016/j.jcp.2005.10.002.

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8

van der Holst, B., and R. Keppens. "Hybrid block-AMR in cartesian and curvilinear coordinates: MHD applications." Journal of Computational Physics 226, no. 1 (September 2007): 925–46. http://dx.doi.org/10.1016/j.jcp.2007.05.007.

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9

Yang, J. S., and J. M. Chang. "Optimal Independent Spanning Trees on Cartesian Product of Hybrid Graphs." Computer Journal 57, no. 1 (December 11, 2012): 93–99. http://dx.doi.org/10.1093/comjnl/bxs157.

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10

Armstrong, Jeffrey R., J. Quinn Campbell, and Anthony J. Petrella. "A comparison of Cartesian-only vs. Cartesian-spherical hybrid coordinates for statistical shape modeling in the lumbar spine." Computer Methods and Programs in Biomedicine 204 (June 2021): 106056. http://dx.doi.org/10.1016/j.cmpb.2021.106056.

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11

Fong, Li Wei, and I. Heng Chen. "Passive Angle-Only Maneuvering Target Tracking Using Federated Filter in Hybrid Coordinates." Applied Mechanics and Materials 432 (September 2013): 427–31. http://dx.doi.org/10.4028/www.scientific.net/amm.432.427.

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An approach to federated filtering in hybrid coordinates is presented for a maneuvering target tracking through a multi-passive-sensor system. This new design accommodates a group of extended Kalman filters that the sensor-dedicated local processors process angle-only measurements extracted from a number of associated maneuverable aircrafts with onboard direction finders. Each filter utilizes the Reference Cartesian Coordinate (RCC) system for state and state covariance extrapolation and utilizes the modified spherical coordinate system for state and state covariance updating. In addition, a discrete-time state equation with the piecewise constant white target acceleration model is introduced into the RCC system for federated filtering. A weighted least squares estimator is used for the global processor aggregating the local estimates to generate a global estimate in the local inertial Cartesian coordinate system. Simulation results show that proposed approach drastically improves the tracking accuracy.

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12

ELZE, HANS-THOMAS. "PROLIFERATION OF OBSERVABLES AND MEASUREMENT IN QUANTUM-CLASSICAL HYBRIDS." International Journal of Quantum Information 10, no. 08 (December 2012): 1241012. http://dx.doi.org/10.1142/s0219749912410122.

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Following a review of quantum-classical hybrid dynamics, we discuss the ensuing proliferation of observables and relate it to measurements of (would-be) quantum mechanical degrees of freedom performed by (would-be) classical ones (if they were separable). Hybrids consist in coupled classical (CL) and quantum mechanical (QM) objects. Numerous consistency requirements for their description have been discussed and are fulfilled here. We summarize a representation of quantum mechanics in terms of classical analytical mechanics which is naturally extended to QM–CL hybrids. This framework allows for superposition, separable, and entangled states originating in the QM sector, admits experimenter's "Free Will", and is local and nonsignaling. Presently, we study the set of hybrid observables, which is larger than the Cartesian product of QM and CL observables of its components; yet it is smaller than a corresponding product of all-classical observables. Thus, quantumness and classicality infect each other.

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13

Hähn, Felix, and Matthias Weigold. "Hybrid compliance compensation for path accuracy enhancement in robot machining." Production Engineering 14, no. 4 (August 14, 2020): 425–33. http://dx.doi.org/10.1007/s11740-020-00976-7.

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Abstract Robot machining processes with high material removal rates lack of high path accuracy mainly due to the low stiffness of industrial robots. The low stiffness leads to process forces caused deviations of the tool center point (TCP) from the planned position of more than 1 mm in industrial applications. To enhance the path accuracy a novel hybrid compliance compensation is developed. It combines a force sensor and model based online compensation with forces of an offline simulation to instantly react to predictable high force changes e.g. at a milling cutter exit from the work piece. The method is applied to a KUKA KR 300 robot. A compliance model based on a forward kinematic with virtual joints is implemented on an external controller. Cartesian or axis specific compensation values are calculated and transferred to the robot via a control circuit. A compliance measurement method is developed and a force torque sensor is mounted to the flange of the robot. The system is validated in with Cartesian and axis specific compensation values as well as with and without pilot control.

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14

WANG, J., D. KONDRASHOV, P. C. LIEWER, and S. R. KARMESIN. "Three-dimensional deformable-grid electromagnetic particle-in-cell for parallel computers." Journal of Plasma Physics 61, no. 3 (April 1999): 367–89. http://dx.doi.org/10.1017/s0022377899007552.

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We describe a new parallel, non-orthogonal-grid, three-dimensional electromagnetic particle-in-cell (EMPIC) code based on a finite-volume formulation. This code uses a logically Cartesian grid of deformable hexahedral cells, a discrete surface integral (DSI) algorithm to calculate the electromagnetic field, and a hybrid logical–physical space algorithm to push particles. We investigate the numerical instability of the DSI algorithm for non-orthogonal grids, analyse the accuracy for EMPIC simulations on non-orthogonal grids, and present performance benchmarks of this code on a parallel supercomputer. While the hybrid particle push algorithm has a second-order accuracy in space, the accuracy of the DSI field solve algorithm is between first and second order for non-orthogonal grids. The parallel implementation of this code, which is almost identical to that of a Cartesian-grid EMPIC code using domain decomposition, achieved a high parallel efficiency of over 96% for large-scale simulations.

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15

Schaub, Hanspeter, and Kyle T. Alfriend. "Hybrid Cartesian and Orbit Element Feedback Law for Formation Flying Spacecraft." Journal of Guidance, Control, and Dynamics 25, no. 2 (March 2002): 387–93. http://dx.doi.org/10.2514/2.4893.

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16

Bleck, Rainer. "An oceanic general circulation model framed in hybrid isopycnic-Cartesian coordinates." Ocean Modelling 4, no. 1 (January 2002): 55–88. http://dx.doi.org/10.1016/s1463-5003(01)00012-9.

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17

Zhang, Lei, Sung-In Choi, and Soon-Yong Park. "Polar-Cartesian Hybrid Transforms: A novel 2D range scan registration algorithm." International Journal of Control, Automation and Systems 11, no. 5 (October 2013): 1001–8. http://dx.doi.org/10.1007/s12555-012-0172-4.

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18

Schlottke-Lakemper, Michael, Hans Yu, Sven Berger, Matthias Meinke, and Wolfgang Schröder. "A fully coupled hybrid computational aeroacoustics method on hierarchical Cartesian meshes." Computers & Fluids 144 (February 2017): 137–53. http://dx.doi.org/10.1016/j.compfluid.2016.12.001.

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19

Sharma, Nidhi, Aditi Sengupta, Manoj Rajpoot, Roshan J. Samuel, and Tapan K. Sengupta. "Hybrid sixth order spatial discretization scheme for non-uniform Cartesian grids." Computers & Fluids 157 (November 2017): 208–31. http://dx.doi.org/10.1016/j.compfluid.2017.08.034.

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20

Gao, Tong, Yu-Heng Tseng, and Xi-Yun Lu. "An improved hybrid Cartesian/immersed boundary method for fluid–solid flows." International Journal for Numerical Methods in Fluids 55, no. 12 (2007): 1189–211. http://dx.doi.org/10.1002/fld.1522.

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21

Yu, P., K. S. Yeo, D. Shyam Sundar, and S. J. Ang. "A three-dimensional hybrid meshfree-Cartesian scheme for fluid-body interaction." International Journal for Numerical Methods in Engineering 88, no. 4 (March 23, 2011): 385–408. http://dx.doi.org/10.1002/nme.3182.

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22

Saeed, Muhammad, Imrana Shafique, and Hatıra G¨unerhan. "Fundamentals of Fermatean Neutrosophic Soft Set with Application in Decision Making Problem." International Journal of Mathematics, Statistics, and Computer Science 3 (January 5, 2025): 294–312. https://doi.org/10.59543/ijmscs.v3i.10625.

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The classical set theory based on crisp sets is not able to deal with uncertainties which is a common feature of various real-world problems. This problem is solved using modified forms of sets such as fuzzy sets, Intuitionistic fuzzy sets, neutrosophic sets, soft sets and hypersoft sets and others along with their hybrids. In this paper, a modified hybrid of soft set named Fermatean Neutrosophic Soft set ($FrNSS$) is established. Basic entities of set theory including subsets, null set, universal set along with different operators are defined. With respect to these operators, the algebraic structures as monoid, semigroup and semiring are defined. Also, fermatean neutrosophic soft topological space and the cartesian product of fermatean neutrosophic soft sets and fermatean neutrosophic soft relation are defined to establish an application of this hybrid structure to decision-making problems.

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23

Nape, Isaac, André G. de Oliveira, Donovan Slabbert, Nicholas Bornman, Jason Francis, Paulo H. Souto Ribeiro, and Andrew Forbes. "An all-digital approach for versatile hybrid entanglement generation." Journal of Optics 24, no. 5 (March 30, 2022): 054003. http://dx.doi.org/10.1088/2040-8986/ac5a7d.

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Abstract Hybrid entangled states exhibit non-local correlations between photons with independent degrees of freedom and are currently gaining much interest. In particular, hybrid entanglement between polarisation and spatial modes of two photons are promising candidates for future heterogeneous quantum channels, but their versatility is limited by current generation methods that rely on static elements. Here, we present a technique that exploits polarisation and spatial mode dependent phase modulation in an all-digital approach using spatial light modulators. We show that we can tailor hybrid entangled states using spatial modes with Cylindrical and Cartesian symmetry, making our approach flexible, dynamic, and adaptable.

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24

Su, Yu, Haiyan Liu, You Li, Bin Xue, Xianqing Liu, Minsi Li, Chunlan Lin, and Xueying Wu. "Research on Hybrid Force Control of Redundant Manipulator with Reverse Task Priority." Materials 15, no. 19 (September 23, 2022): 6611. http://dx.doi.org/10.3390/ma15196611.

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This paper presents the reverse priority impedance control of manipulators with reference to redundant robots of a given task. The reverse priority kinematic control of redundant manipulators is first expressed in detail. The motion in the joint space is derived following the opposite order compared with the classical task priority–based solution. Then the Cartesian impedance control is combined with the reverse priority impedance control to solve the reverse hierarchical impedance controlled, so that the Cartesian impedance behavior can be divided into the primary priority impedance control and the secondary priority impedance control. Furthermore, the secondary impedance control task will not disturb the primary impedance control task. The motion in the joint space is affected following the opposite order and working in the corresponding projection operators. The primary impedance control tasks are implemented at the end, so as to avoid the possible deformations caused by the singularities occurring in the secondary impedance control tasks. Hence, the proposed reverse priority impedance control of manipulator can achieve the desired impedance control tasks with proper hierarchy. In this paper, the simulation experiments of the manipulator will verify the proposed reverse priority control algorithm.

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25

Krevel, Mojca. "The Monstrous Cosmos of Jeanette Winterson’s Frankissstein." ELOPE: English Language Overseas Perspectives and Enquiries 18, no. 2 (December 29, 2021): 85–100. http://dx.doi.org/10.4312/elope.18.2.85-100.

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In her 2019 novel Frankissstein: A Love Story, Jeanette Winterson weaves an intricate transtemporal and trans-spatial multiplicity, the coding of which is governed by Mary Shelley’s Frankenstein (1818). Through the double first-person narrative of Mary Shelley and her 21st-century reincarnation, Ry Shelley, Winterson approaches the literary phenomenon of Frankenstein in its entirety, seamlessly traversing and fusing the levels of the novel’s production, thematic and formal structuring, and reception. This paper argues that by employing the patchwork nature of Shelley’s monster as the principal metaphor for the creation of her own textual hybrid, Winterson upgrades the essentially Cartesian device of metafictional referencing into a bona fide world-building device that functions according to the governing principles of the post-Cartesian, i.e., postmodern, ontological order.

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26

Yen, Ping-Lang, and Shuo-Suei Hung. "Cooperative force control of a hybrid Cartesian parallel manipulator for bone slicing." Robotica 31, no. 2 (April 30, 2012): 173–82. http://dx.doi.org/10.1017/s0263574712000161.

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SUMMARYOver the past two decades, robots have been increasingly used in biomedical applications such as bone cutting. Traditional automated manufacturing processes are often unable to meet the safety and accuracy requirements for such applications, particularly for cutting inhomogeneous constitutions of bone. In this case, human–robot cooperation may prove to be an effective approach. In this paper, we demonstrate that a hybrid parallel manipulator under cooperative force control can achieve accurate bone cutting with sufficient safety guaranteed. First, a hybrid parallel manipulator was constructed to provide the required rigidity for bone cutting. Then a two-loop controller was designed to implement the human–robot cooperation in bone cutting. The position control loop of adaptive fuzzy control is responsible for achieving high-tracking performance by overcoming varying friction forces from the mechanism. The force control loop of the cooperative force control adjusts the feed rate of the cutter according to the bone slicing conditions and operator's supervisory commands. The experimental results show that the proposed controller can effectively achieve the required accuracy in bone cutting with required safety.

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27

Vladareanu, Luige, Victor Vladareanu, and Paul Schiopu. "Hybrid Force-Position Dynamic Control of the Robots Using Fuzzy Applications." Applied Mechanics and Materials 245 (December 2012): 15–23. http://dx.doi.org/10.4028/www.scientific.net/amm.245.15.

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The paper presents methods of improving the hybrid force-position dynamic robot control using fuzzy logic for the error control. The implementation of the open architecture control system for robots using fuzzy application allows for the control of the hybrid position and force in Cartesian coordinates through real time processing of the Jacobean matrix obtained out of forward kinematics using the Denevit-Hartenberg method and calculating the Jacobean inverted matrix for control in closed loop. The effectiveness of various fuzzy control structures in controlling the force-position of the robot or mechatronics actuators is presented.

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28

Kuo, C. Y., and Shay-Ping T. Wang. "Nonlinear Robust Hybrid Control of Robotic Manipulators." Journal of Dynamic Systems, Measurement, and Control 112, no. 1 (March 1, 1990): 48–54. http://dx.doi.org/10.1115/1.2894138.

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The success of a robot force and position (hybrid) control scheme relies extensively upon its robustness against uncertainties such as unknown external disturbance or modeling errors in the description of robot, sensor and environment. In this paper we propose a new nonlinear robust hybrid control scheme for robot motion control. The control input consists of a nonlinear and a linear part. The nonlinear input decouples a robot dynamics and gives a set of position and force equations in the hand or cartesian coordinates. The linear part applies the servomechanism theory to suppress position or force tracking error due to uncertainties. This nonlinear robust hybrid control scheme is applied to a two-joint SCARA type robot, and simulation results demonstrate excellent robustness properties and satisfactory hybrid control under severe modeling errors.

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29

Tranquilla, J. M., Feng Ma, H. M. AI-Rizzo, and K. G. Clark. "A Cartesian-Cylindrical Hybrid Fd-Td Analysis of Composite Microwave Applicator Structures." Journal of Microwave Power and Electromagnetic Energy 34, no. 2 (January 1999): 97–105. http://dx.doi.org/10.1080/08327823.1999.11688394.

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30

Graedel, Nadine N., Jennifer A. McNab, Mark Chiew, and Karla L. Miller. "Motion correction for functional MRI with three-dimensional hybrid radial-Cartesian EPI." Magnetic Resonance in Medicine 78, no. 2 (September 8, 2016): 527–40. http://dx.doi.org/10.1002/mrm.26390.

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31

Sui, Yi, Arvin Arani, Joshua D. Trzasko, Matthew C. Murphy, Phillip J. Rossman, Kevin J. Glaser, Kiaran P. McGee, et al. "TURBINE‐MRE: A 3D hybrid radial‐Cartesian EPI acquisition for MR elastography." Magnetic Resonance in Medicine 85, no. 2 (August 2020): 945–52. http://dx.doi.org/10.1002/mrm.28445.

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32

Liu, Nailong, Xiaodong Zhou, Zhaoming Liu, Hongwei Wang, and Long Cui. "Learning peg-in-hole assembly using Cartesian DMPs with feedback mechanism." Assembly Automation 40, no. 6 (October 19, 2020): 895–904. http://dx.doi.org/10.1108/aa-04-2020-0053.

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Purpose This paper aims to enable the robot to obtain human-like compliant manipulation skills for the peg-in-hole (PiH) assembly task by learning from demonstration. Design/methodology/approach A modified dynamic movement primitives (DMPs) model with a novel hybrid force/position feedback in Cartesian space for the robotic PiH problem is proposed by learning from demonstration. To ensure a compliant interaction during the PiH insertion process, a Cartesian impedance control approach is used to track the trajectory generated by the modified DMPs. Findings The modified DMPs allow the robot to imitate the trajectory of demonstration efficiently and to generate a smoother trajectory. By taking advantage of force feedback, the robot shows compliant behavior and could adjust its pose actively to avoid a jam. This feedback mechanism significantly improves the dynamic performance of the interactive process. Both the simulation and the PiH experimental results show the feasibility and effectiveness of the proposed model. Originality/value The trajectory and the compliant manipulation skill of the human operator can be learned simultaneously by the new model. This method adopted a modified DMPs model in Cartesian space to generate a trajectory with a lower speed at the beginning of the motion, which can reduce the magnitude of the contact force.

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33

Su, Guanting, Mengzong Zheng, and Qiushi Li. "An Improved Hybrid Cartesian/Immersed Boundary Method for Flow Simulation with Moving Boundaries." Journal of Physics: Conference Series 1985, no. 1 (July 1, 2021): 012077. http://dx.doi.org/10.1088/1742-6596/1985/1/012077.

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34

Meattini, Roberto, Davide Chiaravalli, Gianluca Palli, and Claudio Melchiorri. "Exploiting In-Hand Knowledge in Hybrid Joint-Cartesian Mapping for Anthropomorphic Robotic Hands." IEEE Robotics and Automation Letters 6, no. 3 (July 2021): 5517–24. http://dx.doi.org/10.1109/lra.2021.3078658.

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35

Roy, Raj, Abhisek Ghosal, and Amlan K. Roy. "Charge-Transfer Excitation within a Hybrid-(G)KS Framework through Cartesian Grid DFT." Journal of Physical Chemistry A 126, no. 8 (February 18, 2022): 1448–57. http://dx.doi.org/10.1021/acs.jpca.1c10593.

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36

Capizzano, Francesco, Luigi Alterio, Serena Russo, and Carlo de Nicola. "A hybrid RANS-LES Cartesian method based on a skew-symmetric convective operator." Journal of Computational Physics 390 (August 2019): 359–79. http://dx.doi.org/10.1016/j.jcp.2019.04.002.

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37

Byerly, Zachary D., Bryce Adelstein-Lelbach, Joel E. Tohline, and Dominic C. Marcello. "A HYBRID ADVECTION SCHEME FOR CONSERVING ANGULAR MOMENTUM ON A REFINED CARTESIAN MESH." Astrophysical Journal Supplement Series 212, no. 2 (May 28, 2014): 23. http://dx.doi.org/10.1088/0067-0049/212/2/23.

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38

Su, Xinrong, Daisuke Sasaki, and Kazuhiro Nakahashi. "Cartesian mesh with a novel hybrid WENO/meshless method for turbulent flow calculations." Computers & Fluids 84 (September 2013): 69–86. http://dx.doi.org/10.1016/j.compfluid.2013.05.017.

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39

Introïni, C., M. Belliard, and C. Fournier. "A second order penalized direct forcing for hybrid Cartesian/immersed boundary flow simulations." Computers & Fluids 90 (February 2014): 21–41. http://dx.doi.org/10.1016/j.compfluid.2013.10.044.

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40

Cai, Xiao Wei, Jun Jie Tan, Xin Jian Ma, Min Zhang, and Hua Sheng Wang. "Application of hybrid Cartesian grid and gridless approach to moving boundary flow problems." International Journal for Numerical Methods in Fluids 72, no. 9 (January 24, 2013): 994–1013. http://dx.doi.org/10.1002/fld.3775.

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41

Wu, Taiyu, Jin Gu, Shun Wang, Bin Zhang, and Yawei Zhang. "Research on control method of tapping depth of five-degree-of-freedom hybrid robot." Journal of Physics: Conference Series 2417, no. 1 (December 1, 2022): 012020. http://dx.doi.org/10.1088/1742-6596/2417/1/012020.

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In the rubber tapping industry, the control of tapping depth affects not only the latex output of a single tapping but also the economic life of the rubber. It is the key technology to realize automatic tapping. A cooperative control method of end sensor one coordinate axis direction closed-loop control and trajectory planning is proposed in this paper. Firstly, the trajectory planning of the robot is taken to realize the spiral pose interpolation in the Cartesian space. Then, according to the attitude in the trajectory planning, the measured distances to the paper tube surface are decomposed into the axes of the Cartesian coordinate system to realize the spatial closed-loop control. The joint motion position control is completed through the real-time feedback of the photoelectric sensors on each joint simultaneously. Finally, the control method is tested. The test results show that the robot end tool axis is kept moving in the planned posture by this closed-loop control method. The theoretical distance from the laser sensor to the paper tube surface is 45mm. When the movement speed is 10mm/s, the actual average distance from the sensor to the paper tube surface is 44.99 mm, and the maximum deviation is 0.74mm, which meets the accuracy requirements of the actual tapping depth. It has been proved that the method can effectively control the depth precision of rubber tapping and provides important technical support for the realization of automatic rubber tapping.

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42

Kadaj, Roman. "The combined geodetic network adjusted on the reference ellipsoid – a comparison of three functional models for GNSS observations." Geodesy and Cartography 65, no. 2 (December 1, 2016): 229–57. http://dx.doi.org/10.1515/geocart-2016-0013.

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Abstract The adjustment problem of the so-called combined (hybrid, integrated) network created with GNSS vectors and terrestrial observations has been the subject of many theoretical and applied works. The network adjustment in various mathematical spaces was considered: in the Cartesian geocentric system on a reference ellipsoid and on a mapping plane. For practical reasons, it often takes a geodetic coordinate system associated with the reference ellipsoid. In this case, the Cartesian GNSS vectors are converted, for example, into geodesic parameters (azimuth and length) on the ellipsoid, but the simple form of converted pseudo-observations are the direct differences of the geodetic coordinates. Unfortunately, such an approach may be essentially distorted by a systematic error resulting from the position error of the GNSS vector, before its projection on the ellipsoid surface. In this paper, an analysis of the impact of this error on the determined measures of geometric ellipsoid elements, including the differences of geodetic coordinates or geodesic parameters is presented. Assuming that the adjustment of a combined network on the ellipsoid shows that the optimal functional approach in relation to the satellite observation, is to create the observational equations directly for the original GNSS Cartesian vector components, writing them directly as a function of the geodetic coordinates (in numerical applications, we use the linearized forms of observational equations with explicitly specified coefficients). While retaining the original character of the Cartesian vector, one avoids any systematic errors that may occur in the conversion of the original GNSS vectors to ellipsoid elements, for example the vector of the geodesic parameters. The problem is theoretically developed and numerically tested. An example of the adjustment of a subnet loaded from the database of reference stations of the ASG-EUPOS system was considered for the preferred functional model of the GNSS observations.

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Wang, M. S., S. Avila, D. Bianchi, R. Crittenden, and W. J. Percival. "Hybrid-basis inference for large-scale galaxy clustering: combining spherical and Cartesian Fourier analyses." Journal of Cosmology and Astroparticle Physics 2020, no. 10 (October 8, 2020): 022. http://dx.doi.org/10.1088/1475-7516/2020/10/022.

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Munikrishna, N., and N. Balakrishnan. "Turbulent flow computations on a hybrid cartesian point distribution using meshless solver LSFD-U." Computers & Fluids 40, no. 1 (January 2011): 118–38. http://dx.doi.org/10.1016/j.compfluid.2010.08.017.

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Lauretti, Clemente, Francesca Cordella, and Loredana Zollo. "A Hybrid Joint/Cartesian DMP-Based Approach for Obstacle Avoidance of Anthropomorphic Assistive Robots." International Journal of Social Robotics 11, no. 5 (September 30, 2019): 783–96. http://dx.doi.org/10.1007/s12369-019-00597-w.

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Shin, Sangmook, Sung Yong Bae, In Chul Kim, Yong Jig Kim, and Ja Sam Goo. "Computations of flow over a flexible plate using the hybrid Cartesian/immersed boundary method." International Journal for Numerical Methods in Fluids 55, no. 3 (2007): 263–82. http://dx.doi.org/10.1002/fld.1459.

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null, Yifei Wan, and Yinhua Xia. "A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids." Communications in Computational Physics 33, no. 5 (June 2023): 1270–331. http://dx.doi.org/10.4208/cicp.oa-2022-0270.

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Li, Wenhui, Qiuling Wang, and Ying Wang. "Action Recognition Based on Depth Motion Map and Hybrid Classifier." Mathematical Problems in Engineering 2018 (November 14, 2018): 1–10. http://dx.doi.org/10.1155/2018/8780105.

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In order to efficiently extract and encode 3D information of human action from depth images, we present a feature extraction and recognition method based on depth video sequences. First, depth images are projected continuously onto three planes of Cartesian coordinate system, and differential images of the respective projection surfaces are accumulated to obtain the complete 3D information of the depth motion maps (DMMs). Then, discriminative completed LBP (disCLBP) encodes depth motion maps to extract effective human action information. A hybrid classifier combined with Extreme Learning Machine (ELM) and collaborative representation classification (CRC) is employed to reduce the computational complexity while reducing the impact of noise. The proposed method is tested on the MSR-Action3D database; the experimental results show that it achieves 96.0% accuracy and well performs better robustness comparing to other popular approaches.

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Mizuno, Yusuke, Shun Takahashi, Taku Nonomura, Takayuki Nagata, and Kota Fukuda. "A Simple Immersed Boundary Method for Compressible Flow Simulation around a Stationary and Moving Sphere." Mathematical Problems in Engineering 2015 (2015): 1–17. http://dx.doi.org/10.1155/2015/438086.

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This study is devoted to investigating a flow around a stationary or moving sphere by using direct numerical simulation with immersed boundary method (IBM) for the three-dimensional compressible Navier-Stokes equations. A hybrid scheme developed to solve both shocks and turbulent flows is employed to solve the flow around a sphere in the equally spaced Cartesian mesh. Drag coefficients of the spheres are compared with reliable values obtained from highly accurate boundary-fitted coordinate (BFC) flow solver to clarify the applicability of the present method. As a result, good agreement was obtained between the present results and those from the BFC flow solver. Moreover, the effectiveness of the hybrid scheme was demonstrated to capture the wake structure of a sphere. Both advantages and disadvantages of the simple IBM were investigated in detail.

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Yang, Dinghui, Xijun He, Xiao Ma, Yanjie Zhou, and Jingshuang Li. "An optimal nearly analytic discrete-weighted Runge-Kutta discontinuous Galerkin hybrid method for acoustic wavefield modeling." GEOPHYSICS 81, no. 5 (September 2016): T251—T263. http://dx.doi.org/10.1190/geo2015-0686.1.

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The newly developed optimal nearly analytic discrete (ONAD) and the weighted Runge-Kutta discontinuous Galerkin (WRKDG) methods can effectively suppress the numerical dispersion caused by discretizing wave equations, but it is difficult for ONAD to implement on flexible meshes, whereas the WRKDG has high computational cost for wavefield simulations. We have developed a new hybrid algorithm by combining the ONAD method with the WRKDG method. In this hybrid algorithm, the computational domain was split into several subdomains, in which the subdomain for the ONAD method used regular Cartesian grids, whereas the subdomain for the WRKDG method used triangular grids. The hybrid method was at least third-order spatially accurate. We have applied the proposed method to simulate the scalar wavefields for different models, including a homogeneous model, a rough topography model, a fracture model, and a cave model. The numerical results found that the hybrid method can deal with complicated geometrical structures, effectively suppress numerical dispersion, and provide accurate seismic wavefields. Numerical examples proved that our hybrid method can significantly reduce the CPU time and save storage requirement for the tested models. This implies that the hybrid method is especially suitable for the simulation of waves propagating in complex media.

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