Problem 2: Waypoint Navigation Suppose that the robot needs to navigate through a set of waypoints as shown in the figure below. For each maneuver, the robot will first spin in place, followed by a translation. Further, suppose that the robot's initial position is at the origin with a 90° orientation w.r.t. the positive x-axis. 5 3 2 0 = [0,0] y A = [-3,-4] B = [-4,4] C = [-2,3] 1 0 X Each Maneuver Amount of Translation -1 O-A -2 А→В -3 B⇒C -4 CO -5 -5 4 -3 -2 -1 0 1 Angle of Rotation (in degrees), wrapped within [-180°, 180°]

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem 2: Waypoint Navigation
Suppose that the robot needs to navigate through a set of waypoints as shown in the figure below. For
each maneuver, the robot will first spin in place, followed by a translation. Further, suppose that the
robot's initial position is at the origin with a 90° orientation w.r.t. the positive x-axis.
5
3
2
0 = [0,0]
y
A = [-3,-4]
B = [-4,4]
C = [-2,3]
1
0
X
Each
Maneuver
Amount of
Translation
-1
O-A
-2
А→В
-3
B⇒C
-4
CO
-5
-5
4
-3
-2
-1
0
1
Angle of Rotation (in
degrees), wrapped within
[-180°, 180°]
Transcribed Image Text:Problem 2: Waypoint Navigation Suppose that the robot needs to navigate through a set of waypoints as shown in the figure below. For each maneuver, the robot will first spin in place, followed by a translation. Further, suppose that the robot's initial position is at the origin with a 90° orientation w.r.t. the positive x-axis. 5 3 2 0 = [0,0] y A = [-3,-4] B = [-4,4] C = [-2,3] 1 0 X Each Maneuver Amount of Translation -1 O-A -2 А→В -3 B⇒C -4 CO -5 -5 4 -3 -2 -1 0 1 Angle of Rotation (in degrees), wrapped within [-180°, 180°]
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