Mathematical Model of Four Wheeled Mobile Robot and its Experimental Verification

2014 ◽  
Vol 611 ◽  
pp. 130-136 ◽  
Author(s):  
Ľubica Miková ◽  
Michal Kelemen ◽  
Dušan Koniar
Keyword(s):  
Mathematical Model ◽  
Mobile Robot ◽  
Simulation Model ◽  
Experimental Verification ◽  
Transformation Matrix ◽  
Wheeled Mobile Robot ◽  
Function Model ◽  
Simulation Experiments ◽  
Centre Of Gravity

The paper deals with creation of a mathematical model of the mobile robot. For description of the kinematic variables such as position and velocity of each wheel a transformation matrix is used. The simulation model can be applied for calculation of assumed of the undercarriage centre of gravity and path of wheels. The function model was also used for experimental verification of the results of simulation experiments.

scholarly journals Modelling of Dynamics of a Wheeled Mobile Robot with Mecanum Wheels with the use of Lagrange Equations of the Second Kind

2017 ◽  
Vol 22 (1) ◽  
pp. 81-99 ◽  
Author(s):  
Z. Hendzel ◽  
Ł. Rykała
Keyword(s):  
Mathematical Model ◽  
Kinetic Energy ◽  
Mobile Robot ◽  
Mobile Robots ◽  
Equations Of Motion ◽  
Wheeled Mobile Robot ◽  
Dynamic Equations ◽  
Lagrange Equations ◽  
Wheeled Mobile Robots ◽  
New Type

Abstract The work presents the dynamic equations of motion of a wheeled mobile robot with mecanum wheels derived with the use of Lagrange equations of the second kind. Mecanum wheels are a new type of wheels used in wheeled mobile robots and they consist of freely rotating rollers attached to the circumference of the wheels. In order to derive dynamic equations of motion of a wheeled mobile robot, the kinetic energy of the system is determined, as well as the generalised forces affecting the system. The resulting mathematical model of a wheeled mobile robot was generated with the use of Maple V software. The results of a solution of inverse and forward problems of dynamics of the discussed object are also published.

Simulation and Experimental of Shifting Performance of Construction Machinery

2014 ◽  
Vol 889-890 ◽  
pp. 998-1002
Author(s):  
Feng Ren ◽  
Xin Hui Liu ◽  
Jin Shi Chen ◽  
Ping Zeng ◽  
Bo Liang Liu
Keyword(s):  
Mathematical Model ◽  
Simulation Model ◽  
Experimental Verification ◽  
Hydraulic System ◽  
System Simulation ◽  
Performance Characteristics ◽  
Construction Machinery ◽  
Working Principle ◽  
Pressure Changes ◽  
Amesim Simulation

The main objective to study shift buffer impact of shifting process of construction machinery.introduces the working principle of main valve and wet multi-clutch,and developing a mathematical model and AMESim simulation model. analyzes the characteristics of pressure changes during the shift, buffering characteristics and impact on the performance characteristics, and experimental verification. The results showed that: the shift hydraulic system simulation model accurately credible; good performance of the system can effectively reduce shift jerk.

Regular perturbations to the motion of a three-wheeled mobile robot with the front-wheel drive under restricted state variables*

2020 ◽  
Author(s):  
Roman Chertovskih ◽  
Anna Daryina ◽  
Askhat Diveev ◽  
Dmitry Karamzin ◽  
Fernando L. Pereira ◽  
...  
Keyword(s):  
Mobile Robot ◽  
Front Wheel ◽  
Wheeled Mobile Robot ◽  
State Variables ◽  
Wheel Drive

Recent Patents on Omni-Directional Wheel Applied on Wheeled Mobile Robot

2016 ◽  
Vol 9 (3) ◽  
pp. 215-221
Author(s):  
Junpeng Shao ◽  
Tianhua He ◽  
Jingang Jiang ◽  
Yongde Zhang
Keyword(s):  
Mobile Robot ◽  
Wheeled Mobile Robot

A hierarchical constraint approach for dynamic modeling and trajectory tracking control of a mobile robot

2021 ◽  
pp. 107754632199918
Author(s):  
Rongrong Yu ◽  
Shuhui Ding ◽  
Heqiang Tian ◽  
Ye-Hwa Chen
Keyword(s):  
Mobile Robot ◽  
Dynamic Modeling ◽  
Trajectory Tracking ◽  
Tracking Control ◽  
Wheeled Mobile Robot ◽  
Structural Constraints ◽  
Control Force ◽  
Trajectory Tracking Control ◽  
Motion Constraints ◽  
Constraint Approach

The dynamic modeling and trajectory tracking control of a mobile robot is handled by a hierarchical constraint approach in this study. When the wheeled mobile robot with complex generalized coordinates has structural constraints and motion constraints, the number of constraints is large and the properties of them are different. Therefore, it is difficult to get the dynamic model and trajectory tracking control force of the wheeled mobile robot at the same time. To solve the aforementioned problem, a creative hierarchical constraint approach based on the Udwadia–Kalaba theory is proposed. In this approach, constraints are classified into two levels, structural constraints are the first level and motion constraints are the second level. In the second level constraint, arbitrary initial conditions may cause the trajectory to diverge. Thus, we propose the asymptotic convergence criterion to deal with it. Then, the analytical dynamic equation and trajectory tracking control force of the wheeled mobile robot can be obtained simultaneously. To verify the effectiveness and accuracy of this methodology, a numerical simulation of a three-wheeled mobile robot is carried out.

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