Academic literature on the topic 'Single-wheel robot'

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Journal articles on the topic "Single-wheel robot"

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Wyrwał, Daniel, and Tymoteusz Lindner. "Control algorithm for holonomic robot that balances on single spherical wheel." MATEC Web of Conferences 252 (2019): 02005. http://dx.doi.org/10.1051/matecconf/201925202005.

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This paper presents the control algorithm for the new type of robot that balances on a single spherical wheel. This type of robot is called Ballbot and unlike other statically stable robots, it has a high gravity centre and a very small footprint. The robot is dynamically stable, which means that if the controller stops working, the entire construction will fall over. Because of that, it needs a special control algorithm to keep the balance. The presented Ballbot is fitted with sensors such as gyroscope and accelerometer and controls motors with omni-directional wheels to move the robot in any direction. This paper presents theoretical information about balancing robots and the most important elements of the robot. Next, the design concept of the controller based on STM32 family, control algorithms and filters were proposed and implemented. In the final section of this paper, the investigation results were presented and discussed.
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Brown, H. B. Jr, and Yangsheng Xu. "A single wheel, gyroscopically stabilized robot." IEEE Robotics & Automation Magazine 4, no. 3 (September 1997): 39–44. http://dx.doi.org/10.1109/100.618022.

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Zhu, Xiaoqing, Ruoyan Wei, Yao Xiao, Xiaogang Ruan, and Zhigang Chen. "Electromagnetic Force Balanced Single-Wheel Robot." Chinese Journal of Electronics 25, no. 3 (May 1, 2016): 441–47. http://dx.doi.org/10.1049/cje.2016.05.008.

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Forouhar, Moein, Mohammad H. Abedin-Nasab, and Guangjun Liu. "Introducing GyroSym: a single-wheel robot." International Journal of Dynamics and Control 8, no. 2 (August 1, 2019): 404–17. http://dx.doi.org/10.1007/s40435-019-00565-2.

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Li, Yunwang, Sumei Dai, Lala Zhao, Xucong Yan, and Yong Shi. "Topological Design Methods for Mecanum Wheel Configurations of an Omnidirectional Mobile Robot." Symmetry 11, no. 10 (October 10, 2019): 1268. http://dx.doi.org/10.3390/sym11101268.

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A simple and efficient bottom-roller axle intersections approach for judging the omnidirectional mobility of the Mecanum wheel configuration is proposed and proved theoretically. Based on this approach, a sub-configuration judgment method is derived. Using these methods, on the basis of analyzing the possible configurations of three and four Mecanum wheels and existing Mecanum wheel configurations of robots in practical applications, the law determining wheel configuration is elucidated. Then, the topological design methods of the Mecanum wheel configurations are summarized and refined, including the basic configuration array method, multiple wheels replacement method, and combination method. The first two methods can be used to create suitable multiple-Mecanum-wheel configurations for a single mobile robot based on the basic Mecanum wheel configuration. Multiple single robots can be arranged by combination methods including end-to-end connection, side-by-side connection, symmetrical rectangular connection, and distributed combination, and then, the abundant combination configurations of robots can be obtained. Examples of Mecanum wheel configurations design based on a symmetrical four-Mecanum-wheel configuration and three centripetal configurations using these topological design methods are presented. This work can provide methods and a reference for Mecanum wheel configurations design.
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Rashid, Maki K. "Simulation of Intelligent Single Wheel Mobile Robot." International Journal of Advanced Robotic Systems 4, no. 1 (March 2007): 10. http://dx.doi.org/10.5772/5707.

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Gorobtsov, A. S., A. V. Skorikov, P. S. Tarasov, and O. K. Chesnokov. "ROBOT WITH COMBINED WHEEL-STEPPING MOVER." IZVESTIA VOLGOGRAD STATE TECHNICAL UNIVERSITY, no. 9(244) (September 25, 2020): 26–30. http://dx.doi.org/10.35211/1990-5297-2020-9-244-26-30.

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The control of a robot with a wheel-stepping mover that allows movement in two modes is considered. To move on a flat surface, a single-wheel mover unit is used with steering with the help of selected stepping movers. Overcoming obstacles and performing work operations are carried out with the help of walking movers. The synthesis of robot motion control in walking mode and the method of controlling the direction of motion when driving on a single-wheel mover are presented.
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Chen, Zhigang, Xiaogang Ruan, Cheng Li, Xiaoping Zhang, Jianxian Cai, Ouattara Sie, and Xiaoqing Zhu. "Single-wheel robot modelling using natural orthogonal complement." International Journal of System Control and Information Processing 2, no. 1 (2017): 31. http://dx.doi.org/10.1504/ijscip.2017.084257.

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Sie, Ouattara, Jianxian Cai, Cheng Li, Xiaoping Zhang, Zhigang Chen, Xiaogang Ruan, and Xiaoqing Zhu. "Single-wheel robot modelling using natural orthogonal complement." International Journal of System Control and Information Processing 2, no. 1 (2017): 31. http://dx.doi.org/10.1504/ijscip.2017.10005183.

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Mohanraj, A. P., A. Elango, D. Ragavendhiran, P. Vignesh Raja, and K. Ashok. "Design and Movement Analysis of Single Roller Omni Directional Wheeled Robot for Different Assembly Structures." Applied Mechanics and Materials 592-594 (July 2014): 2324–28. http://dx.doi.org/10.4028/www.scientific.net/amm.592-594.2324.

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This paper addresses the movement analysis of square structured and triangular structured Omni directional mobile robots and its combination in the form of octagonal structured mobile robot. The Omni wheel used in this research is having 8 rollers made up of synthetic rubber coated polypropylene rollers. An experiment was setup to analyse the movement of the square, triangular and octagonal structured robot in x-axis, y-axis and rotary motion. This experiment is an attempt of combining square structure and triangular structure robot in a single robot. Omni Directional mobile robot creates another step in the field of mobile robotics.
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Dissertations / Theses on the topic "Single-wheel robot"

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Lochman, Vít. "Konstrukce jednokolového mobilního robotu se schopností skákání." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417721.

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The diploma thesis deals with the design of a single-wheel mobile robot, which is able to jump and collect samples weighing 2 Kg. The first part is devoted to the review of single-wheel robots. A brief analysis of single-wheel motion and a brief overview of jumping mechanism follow up. The second part describes problem analysis and five design variants. Using the multicriteria analysis, the variants were evaluated, and the optimal variant was chosen. The third partm is dedicated to the dynamic calculations and the mechanical design of the robot itself. The last part is devoted to economic evaluation and discussion with possible continuation in developing. The complete drawing documentation of the robot is included in this work.
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"Dynamics and control of a single wheel, gyroscopically stabilized robot." 1999. http://library.cuhk.edu.hk/record=b5889874.

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by Kwok-wai Au.
Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.
Includes bibliographical references (leaves 55-58).
Abstracts in English and Chinese.
Abstract --- p.i
Acknowledgments --- p.iii
Contents --- p.iv
List of Figures --- p.vi
List of Tables --- p.viii
Chapter 1 --- Introduction --- p.1
Chapter 1.1 --- Motivation --- p.1
Chapter 1.2 --- Previous work --- p.5
Chapter 1.3 --- Thesis overview --- p.7
Chapter 2 --- Dynamics of the Single Wheel Robot --- p.10
Chapter 2.1 --- Dynamic model of a rolling disk --- p.10
Chapter 2.1.1 --- Kinematic constraints --- p.11
Chapter 2.1.2 --- Equations of motion --- p.13
Chapter 2.1.3 --- Characteristics of the rolling disk --- p.15
Chapter 2.2 --- Dynamic model of the single wheel robot --- p.18
Chapter 2.2.1 --- Coordinate frames and generalized coordinates --- p.19
Chapter 2.2.2 --- Equations of motion --- p.21
Chapter 2.2.3 --- Model simplification --- p.24
Chapter 2.3 --- Dynamic properties of the single wheel robot --- p.27
Chapter 3 --- Stabilization of the Single Wheel Robot --- p.30
Chapter 3.1 --- Linearized model --- p.30
Chapter 3.2 --- Controllability and non-minimum phase characteristics --- p.33
Chapter 3.3 --- Linear state feedback --- p.33
Chapter 3.4 --- Simulation Study --- p.35
Chapter 4 --- Path Following of the Single Wheel Robot --- p.37
Chapter 4.1 --- Path following for nonholonomic systems --- p.37
Chapter 4.2 --- Definition of path following --- p.39
Chapter 4.3 --- New configuration --- p.39
Chapter 4.4 --- Line following --- p.41
Chapter 4.4.1 --- Velocity control law --- p.42
Chapter 4.4.2 --- Convergence for the velocity control law --- p.43
Chapter 4.4.3 --- Torque control law --- p.45
Chapter 4.5 --- Simulation study --- p.47
Chapter 4.5.1 --- Effect of the initial heading angle --- p.47
Chapter 4.5.2 --- Effect of the rolling speed --- p.49
Chapter 4.5.3 --- Follow a desired line --- p.50
Chapter 4.5.4 --- Effect of the smoothness parameter --- p.50
Chapter 5 --- Conclusion --- p.52
Chapter 5.1 --- Contributions --- p.52
Chapter 5.2 --- Future work --- p.53
Bibliography --- p.55
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"Single wheel robot: gyroscopical stabilization on ground and on incline." 2000. http://library.cuhk.edu.hk/record=b5890272.

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by Loi-Wah Sun.
Thesis (M.Phil.)--Chinese University of Hong Kong, 2000.
Includes bibliographical references (leaves 77-81).
Abstracts in English and Chinese.
Abstract --- p.i
Acknowledgments --- p.iii
Contents --- p.v
List of Figures --- p.vii
List of Tables --- p.viii
Chapter 1 --- Introduction --- p.1
Chapter 1.1 --- Motivation --- p.1
Chapter 1.1.1 --- Literature review --- p.2
Chapter 1.1.2 --- Gyroscopic precession --- p.5
Chapter 1.2 --- Thesis overview --- p.7
Chapter 2 --- Dynamics of the robot on ground --- p.9
Chapter 2.1 --- System model re-derivation --- p.10
Chapter 2.1.1 --- Linearized model --- p.15
Chapter 2.2 --- A state feedback control --- p.16
Chapter 2.3 --- Dynamic characteristics of the system --- p.18
Chapter 2.4 --- Simulation study --- p.19
Chapter 2.4.1 --- The self-stabilizing dynamics effect of the single wheel robot --- p.21
Chapter 2.4.2 --- The Tilting effect of flywheel on the robot --- p.23
Chapter 2.5 --- Dynamic parameters analysis --- p.25
Chapter 2.5.1 --- Swinging pendulum --- p.25
Chapter 2.5.2 --- Analysis of radius ratios --- p.27
Chapter 2.5.3 --- Analysis of mass ratios --- p.30
Chapter 3 --- Dynamics of the robot on incline --- p.33
Chapter 3.1 --- Modeling of rolling disk on incline --- p.33
Chapter 3.1.1 --- Disk rolls up on an inclined plane --- p.37
Chapter 3.2 --- Modeling of single wheel robot on incline --- p.39
Chapter 3.2.1 --- Kinematic constraints --- p.40
Chapter 3.2.2 --- Equations of motion --- p.41
Chapter 3.2.3 --- Model simplification --- p.43
Chapter 3.2.4 --- Linearized model --- p.46
Chapter 4 --- Control of the robot on incline --- p.47
Chapter 4.1 --- A state feedback control --- p.47
Chapter 4.1.1 --- Simulation study --- p.49
Chapter 4.2 --- Backstepping-based control --- p.51
Chapter 4.2.1 --- Simulation study --- p.53
Chapter 4.2.2 --- The effect of the spinning rate of flywheel --- p.56
Chapter 4.2.3 --- Simulation study --- p.58
Chapter 4.2.4 --- Roll up case --- p.58
Chapter 4.2.5 --- Roll down case --- p.58
Chapter 5 --- Motion planning --- p.61
Chapter 5.1 --- Performance index --- p.61
Chapter 5.2 --- Condition of rolling up --- p.62
Chapter 5.3 --- Motion planning of rolling Up --- p.65
Chapter 5.3.1 --- Method I : Orientation change --- p.65
Chapter 5.3.2 --- Method II : Change the initial velocities --- p.69
Chapter 5.4 --- Wheel rolls Down --- p.70
Chapter 5.4.1 --- Terminal velocity of rolling body down --- p.73
Chapter 6 --- Summary --- p.75
Chapter 6.1 --- Contributions --- p.75
Chapter 6.2 --- Future Works --- p.76
Bibliography --- p.78
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WEN, CHAO-YUAN, and 溫兆源. "Control of single spherical wheel robot driven by omni wheels." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/02545169972589006627.

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碩士
中華大學
電機工程學系碩士班
99
This thesis mainly discusses the control of a spherical robot using Omni wheels to drive a spherical wheel. The dynamical model is derived from Euler Lagrange approach. Therefore, seven different control methods are presented which can achieve a constant speed at a vertical balance altitude. The proposed control methods can be categorized into two algorithms. The first algorithm is the variable structure system control (VSSC) in which the time needed to enter the sliding surface or to reach the stable point can be adjusted by parameters. The second one is the nonlinear feedback, but its smoothing input is different from the switching input of variable structure system control (VSSC). The constant speed of the spherical robot with vertical balance altitude can be achieved by both algorithms and be verified by simulations.
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"Learning and input selection of human strategy in controlling a single wheel robot." 2000. http://library.cuhk.edu.hk/record=b5890260.

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by Wai-Kuen Yu.
Thesis (M.Phil.)--Chinese University of Hong Kong, 2000.
Includes bibliographical references (leaves 83-87).
Abstracts in English and Chinese.
Chapter 1 --- Introduction --- p.1
Chapter 1.1 --- Robot Concept --- p.1
Chapter 1.2 --- Motivations --- p.3
Chapter 1.3 --- Related Work --- p.5
Chapter 1.4 --- Overview --- p.6
Chapter 2 --- Single Wheel Robot --- p.8
Chapter 2.1 --- Mathematical Model --- p.8
Chapter 2.1.1 --- Coordinate Frame --- p.9
Chapter 2.1.2 --- Equations of Motion --- p.10
Chapter 2.1.3 --- Model Simplification --- p.12
Chapter 2.2 --- Hardware Descriptions --- p.13
Chapter 2.2.1 --- Actuators --- p.14
Chapter 2.2.2 --- Sensors --- p.14
Chapter 2.2.3 --- Communication Subsystem --- p.15
Chapter 2.2.4 --- Computer Subsystem --- p.16
Chapter 2.3 --- Software Descriptions --- p.16
Chapter 2.3.1 --- Operating System --- p.17
Chapter 2.3.2 --- Software Architecture --- p.18
Chapter 3 --- Human-based Control --- p.21
Chapter 3.1 --- Why Human-based Control --- p.21
Chapter 3.2 --- Modeling Human Control Strategy --- p.22
Chapter 3.2.1 --- Human Control Strategy --- p.22
Chapter 3.2.2 --- Neural Network for Modeling --- p.23
Chapter 3.2.3 --- Learning Procedure --- p.24
Chapter 3.3 --- Task Descriptions --- p.28
Chapter 3.4 --- Modeling HCS in Controlling the Robot --- p.29
Chapter 3.4.1 --- Model Input and Output --- p.30
Chapter 3.4.2 --- Human-based Controller --- p.31
Chapter 3.5 --- Result and Discussion --- p.31
Chapter 4 --- Input Selection --- p.38
Chapter 4.1 --- Why Input Selection --- p.38
Chapter 4.2 --- Model Validation --- p.39
Chapter 4.2.1 --- Why Model Validation --- p.39
Chapter 4.2.2 --- Root Mean Square Error Measure --- p.40
Chapter 4.3 --- Experimental Setup --- p.40
Chapter 4.4 --- Model-based Method --- p.41
Chapter 4.4.1 --- Problem Definition --- p.41
Chapter 4.4.2 --- Input Representation --- p.43
Chapter 4.4.3 --- Sensitivity Analysis --- p.44
Chapter 4.4.4 --- Experimental Result --- p.47
Chapter 4.5 --- Model-free Method --- p.51
Chapter 4.5.1 --- Problems Definition --- p.51
Chapter 4.5.2 --- Factor Analysis --- p.54
Chapter 4.5.3 --- Experimental Result --- p.63
Chapter 4.6 --- Model-based Method versus Model-free Method --- p.66
Chapter 5 --- Conclusion and Future Work --- p.71
Chapter 5.1 --- Contributions --- p.71
Chapter 5.2 --- Future Work --- p.72
Chapter Appendix A --- Dynamic Model of the Robot --- p.74
Chapter A.1 --- Kinematic Constraints: Holonomic and Nonholonomic --- p.74
Chapter A.1.1 --- Coordinate Frame --- p.74
Chapter A.2 --- Robot Dynamics --- p.76
Chapter A.2.1 --- Single Wheel --- p.77
Chapter A.2.2 --- Internal Mechanism and Spinning Flywheel --- p.77
Chapter A.2.3 --- Lagrangians of the System --- p.78
Chapter Appendix B --- Similarity Measure --- p.80
Bibliography --- p.82
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Books on the topic "Single-wheel robot"

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Control of single wheel robots. Berlin: Springer, 2006.

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Control of Single Wheel Robots. Berlin/Heidelberg: Springer-Verlag, 2005. http://dx.doi.org/10.1007/b136654.

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Xu, Yangsheng, and Yongsheng Ou. Control of Single Wheel Robots (Springer Tracts in Advanced Robotics). Springer, 2005.

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Book chapters on the topic "Single-wheel robot"

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Park, Junehyung, and Seul Jung. "Driving and Turning Control of a Single-Wheel Mobile Robot." In Advances in Intelligent Systems and Computing, 661–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33932-5_62.

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Al-Mamun, Abdullah, and Zhen Zhu. "PSO-Optimized Fuzzy Logic Controller for a Single Wheel Robot." In Communications in Computer and Information Science, 330–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15810-0_42.

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Ha, Minsoo, and Seul Jung. "Neural Network Control for the Balancing Performance of a Single-Wheel Transportation Vehicle: Gyrocycle." In Robot Intelligence Technology and Applications 2, 877–85. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05582-4_77.

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Herrera-Cordero, Mario E., Manuel Arias-Montiel, and Esther Lugo-González. "Design and Dynamic Modeling of a Novel Single-Wheel Pendulum Robot." In Mechanism Design for Robotics, 353–60. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00365-4_42.

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Herrera-Cordero, Mario E., Manuel Arias-Montiel, Marco Ceccarelli, and Esther Lugo-González. "On the Dynamics and Control of a Single-Wheel Robot with Inertial Locomotion." In Industrial and Robotic Systems, 249–60. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45402-9_24.

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Flippo, Daniel, Richard Heller, and David P. Miller. "Turning Efficiency Prediction for Skid Steer Robots Using Single Wheel Testing." In Springer Tracts in Advanced Robotics, 479–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13408-1_43.

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Kharola, Ashwani, Piyush Dhuliya, and Priyanka Sharma. "Anti-Swing and Position Control of Single Wheeled Inverted Pendulum Robot (SWIPR)." In Robotic Systems, 603–13. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1754-3.ch031.

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This article presents a fuzzy logic based offline control strategy for the stabilisation of a single-wheeled inverted pendulum robot (SWIPR). A SWIPR comprises of robot chassis mounted on a single wheel. A Matlab-Simulink model of the system has been built from mathematical equations derived using Newton's second law of motion. The study considers three different shape membership functions (MFs) i.e. gaussian, gbell and trapezoidal for designing of fuzzy logic controllers (FLCs). The performance parameters considered for comparison of controllers were rising time, settling time, steady state error and maximum overshoot. The simulation results proved the superiority of gbell MFs over other MFs.
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Conference papers on the topic "Single-wheel robot"

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Marzban, Mostapha, and Aria Alasty. "Stability Control of an Amphibious Single Wheel Robot." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-44020.

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Single wheel robots are typically those kinds of robots which contain all the necessary mechanizations, namely the stabilization and driving mechanizations, within a shell-liked housing appearing analogous to a wheel. These robots have proved to be useful in various fields of industry due to their advantages of giving high instant acceleration and maintaining high cruise speeds for considerable amount of time in addition to being compact and small. It is a sharp-edged wheel actuated by a spinning flywheel for steering and a drive motor for propulsion. The spinning flywheel acts as a gyroscope to stabilize the robot and it can be tilted to achieve steering. In this paper first the kinematics of a single wheel robot, like Gyrover, in water is considered and then a simple mechanism for its movement in water is proposed. After hydrodynamic analysis of the robot a complete dynamics model is designed with Lagrange energy method. Then a stabilizer controller is designed to balance the robot with nonlinear control approach. For simplicity the added mass effect in hydrodynamic analysis, has been neglected. This complete model can be used for examining the behavior of the robot in designing a controller.
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Ruan, Xiaogang, Xu Wang, Xiaoqing Zhu, Zhigang Chen, and Rongyi Sun. "Active disturbance rejection control of Single wheel robot." In 2014 11th World Congress on Intelligent Control and Automation (WCICA). IEEE, 2014. http://dx.doi.org/10.1109/wcica.2014.7053403.

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Marzban, Mostapha, and Dina Alizadeh. "Positioning and Tracking Control of an Amphibious Single Wheel Robot." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66281.

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Amphibious single wheel robot consists of a sharp-edged wheel actuated by a spinning flywheel for steering and a drive motor for propulsion. The spinning flywheel acts as a gyroscope to stabilize the robot and also can be tilted to achieve steering. In this paper, the kinematics of a single wheel robot in water, Gyrover, is analyzed and then a simple mechanism for driving it is proposed. In previous studies, Lagrange approach is used for hydrodynamic modeling of the robot. A nonlinear position controller is designed to bring the robot to any desired position. Based on the designed controller, a tracking controller is augmented to the robot. For simplicity the added mass effect has been neglected in hydrodynamic analysis. Since the robot under consideration is compact and slow enough, this assumption is not far from reality.
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Marzban, Mostapha, and Aria Alasty. "Dynamic Analysis of an Amphibious Single Wheel Robot, Part 1: Moving in Straight Path." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35876.

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A single wheel, gyroscopically stabilized robot is a sharp-edged wheel actuated by a spinning flywheel for steering and a drive motor for propulsion. The spinning flywheel acts as a gyroscope to stabilize the robot and it can be tilted to achieve steering. In this paper first the kinematics of a single wheel robot, like Gyrover, in water is considered and then a simple mechanism for its movement in water is proposed. After hydrodynamic analysis of the robot a complete dynamics model is designed with Lagrange energy method. The only simplification used here is neglecting the added mass effect in hydrodynamic analysis. This complete model can be used for examining the behavior of the robot in designing a controller. This work is a significant step towards a fully automatic control of such a dynamically stable but statically unstable robots.
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Ruan, Xiaogang, Xiaoqing Zhu, Yalei Li, and Ruoyan Wei. "Lateral stabilization of a single wheel robot applying electromagnetic force." In 2012 10th World Congress on Intelligent Control and Automation (WCICA 2012). IEEE, 2012. http://dx.doi.org/10.1109/wcica.2012.6359085.

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Ha, M. S., and S. Jung. "Angle compensation by fuzzy logic for balancing a single-wheel mobile robot." In 2015 10th Asian Control Conference (ASCC). IEEE, 2015. http://dx.doi.org/10.1109/ascc.2015.7244524.

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Lee, S. D., and S. Jung. "Empirical verification of a controllable angle of a single-wheel mobile robot." In 2017 IEEE International Conference on Advanced Intelligent Mechatronics (AIM). IEEE, 2017. http://dx.doi.org/10.1109/aim.2017.8014258.

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Wyrwał, Daniel, Tymoteusz Lindner, and Dominik Rybarczyk. "Design and control of a holonomic robot that balances on single spherical wheel." In 2ND INTERNATIONAL CONFERENCE ON CHEMISTRY, CHEMICAL PROCESS AND ENGINEERING (IC3PE). Author(s), 2018. http://dx.doi.org/10.1063/1.5066544.

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Zhu, Zhen, Myint Phone Naing, and Abdullah Al-Mamun. "Integrated ADAMS+MATLAB environment for design of an autonomous single wheel robot." In IECON 2009 - 35th Annual Conference of IEEE Industrial Electronics (IECON). IEEE, 2009. http://dx.doi.org/10.1109/iecon.2009.5415187.

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Nagarajan, Umashankar, Anish Mampetta, George A. Kantor, and Ralph L. Hollis. "State transition, balancing, station keeping, and yaw control for a dynamically stable single spherical wheel mobile robot." In 2009 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2009. http://dx.doi.org/10.1109/robot.2009.5152681.

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