﻿1
00:00:00,360 --> 00:00:01,170
‫Welcome back.

2
00:00:01,590 --> 00:00:07,830
‫Now it's time to apply the three rotation mattresses that we had derived earlier.

3
00:00:08,210 --> 00:00:09,600
‫I have a question to you.

4
00:00:09,960 --> 00:00:17,640
‫If I tell you that the drone, with respect to the initial frame, is positioned with the coordinates

5
00:00:17,640 --> 00:00:28,410
‫of X equals five meters, Y equals three meters and Z equals minus seven meters.

6
00:00:28,920 --> 00:00:40,020
‫And the fi angle is zero point two radians, the theta angle is zero point three radians and the angle

7
00:00:40,350 --> 00:00:42,660
‫is zero point for radians.

8
00:00:43,020 --> 00:00:51,410
‫My question to you is, would you be able to describe the position and the attitude of the drone, both

9
00:00:51,450 --> 00:00:53,940
‫video for a second and try to think about it?

10
00:00:59,580 --> 00:01:01,120
‫The answer is no.

11
00:01:01,680 --> 00:01:09,120
‫You could determine the position of the drone, but now I have an exercise for you with regards to the

12
00:01:09,120 --> 00:01:18,060
‫attitude of the drone, and that exercise will help you understand why right now, at this point, you

13
00:01:18,060 --> 00:01:22,060
‫are not able to determine the attitude of the drone.

14
00:01:22,680 --> 00:01:29,340
‫Imagine that the inertial and body frames are completely aligned like this.

15
00:01:30,150 --> 00:01:35,760
‫First, rotate the body frame about the inertial frame axis in this order.

16
00:01:36,210 --> 00:01:43,150
‫First, rotate about the x axis by PI over to Radiance.

17
00:01:43,620 --> 00:01:45,270
‫This is your first rotation.

18
00:01:45,900 --> 00:01:53,140
‫Then rotate about the y axis by pi over to radians or ninety degrees.

19
00:01:53,640 --> 00:01:55,200
‫That's your second rotation.

20
00:01:55,710 --> 00:02:06,480
‫And then rotate about the Z axis by a pi over to radians and that's your third rotation and then do

21
00:02:06,480 --> 00:02:07,410
‫the same thing.

22
00:02:08,010 --> 00:02:13,410
‫But first rotate about the Z axis pi over to radians.

23
00:02:13,860 --> 00:02:22,710
‫That's your first rotation then about the Y axis prior to radians that's your second rotation and then

24
00:02:23,190 --> 00:02:26,670
‫pi over to radians about the x axis.

25
00:02:27,090 --> 00:02:29,360
‫And now this is your third rotation.

26
00:02:29,940 --> 00:02:34,160
‫Do this exercise and you will see the answers in the next video.

27
00:02:34,860 --> 00:02:36,660
‫See what you will get.

28
00:02:37,080 --> 00:02:41,290
‫Will the body frames end up in the same orientation or not?

29
00:02:41,940 --> 00:02:42,930
‫Thank you very much.

