CSCE 452/752 Robotics and Spatial Intelligence, Spring 2026
Homework 5
You are controlling a very small differential drive robot whose wheels
are 4cm apart.
The robot starts at
$(x_{\rm s},y_{\rm s},\theta_{\rm s})=(5\text{cm},5\text{cm},0)$
and wants to travel to
$(x_{\rm g},y_{\rm g},\theta_{\rm g})=(10\text{cm},10\text{cm},\pi/2)$.
The velocity of each wheel must remain between $-2\text{cm}/\text{s}$ and
$2\text{cm}/{s}$.
Plan actions to move the robot from its starting point to its goal.
Specifically, you should write one or more actions, each of the form $(v_l,
v_r)$, along with an amount of time $\Delta t$ to execute each action.
Show your work.