Preliminaries
Published in Yongzhao Hua, Xiwang Dong, Ren Zhang, Formation Tracking Control for Heterogeneous Swarm Systems, 2022
Yongzhao Hua, Xiwang Dong, Ren Zhang
Fig. 2.4 shows the structure diagram of a Mecanum wheel UGV. Let O−XY and OG−XGYG denote the inertial frame and the body frame, respectively. The control inputs of the UGV are the rotation speeds of four wheels, i.e., ωm1, ωm2, ωm3, and ωm4. The angle between the roll shaft and the axle of Mecanum wheel is denoted by α. Let vx and vy denote the velocities of mass centre along the OGXG -axis and OGYG -axis in the body frame, respectively. The yaw angle is denotes by θ. Define the angular velocity of UGV as ω. Then, we can use vx, vy, and ω to describe the three degrees of freedom movement for the UGV in the XY plane.