Mobile%20Robot%20Kinematics - PowerPoint PPT Presentation

About This Presentation
Title:

Mobile%20Robot%20Kinematics

Description:

Holonomic Robots Nonholonomic systems Nonholonomic systems are characterized by constraint equations involving the time derivatives of the system conguration variables. – PowerPoint PPT presentation

Number of Views:314
Avg rating:3.0/5.0
Slides: 41
Provided by: Shi122
Category:

less

Transcript and Presenter's Notes

Title: Mobile%20Robot%20Kinematics


1
Mobile Robot Kinematics
???????? ???????? ?????
  • ???? ???? ???? ??????
  • ??? 3 ???? Introduction to Autonomous Mobile
    Robots

2
???????? ???????? ?????
  • ?????? ???????? ???????? ????? ?? ?? ????? ????
    ???
  • ????? ????? ????? ???? ????? ??? ???? ???
  • ????? ??? ????? ?????? ????? ????? ???
  • ?? ?????? ??? ??? ????? ????? ? ????? ????? ??
    ?????? ???? ?????? ???. ????? ????? ?? ?? ????
    ???? ??? ??? ?????? ?????? ???? ???? ?? ??? ????
    ???? ?????? ????.

3
???????? ???????? ?????
  • ??? ????? ?????? ??????? ????? ?? ????? ????? ?
    ?????
  • ???????? ??????? ????? ???? ?? ???????? ????? ???
    ?? ??? ????? ?? ????? ????? ??????? ??????? ??
    ???? ???? ?????.
  • ????? ?? ?? ??? ??????? ??? ??????? ???? ??????
    ????? ???? ? ?????? ?? ???? ?? ??? ???? ??
    ??????? ???? ?? ???? ??? ????? ??? ???? ????.
  • ?????? ???? ?? ????? ??? ?? ?????? ???? ????? ??.
  • ?????? ?? ??? ????? ??? ??????? ??? ?? ????? ???
    ????? ??????.
  • ???? ??? ???? ????? ???? ?? ??????????? ?? ?????
    ?? ?? ??? ???? ????? ?????? ???? ????.

4
????? ?????? ?? ?????
  • ???? ????? ?????? ?? ????? ???? ??? ?? ????? ???
    ?? ??????
  • ??? ?????????/ ???????? ?????
  • ??? ????? ??? ??? ? ????
  • ?????? ?? ???? ???? ????
  • ????? ????- ????? ??????
  • ????? ?????? ?? ??????????? ???? ?? ???????
    ?????.

5
???? ???? ?????? ?????
  • ??? ????? ?? ????? ?? ??? ??? ???? ?? ??? ?????
    ???? ????? ? ?? ??? ?? ???? ???? ?????.
  • ?????? ????? ?? ?????? ?? ?? ????? x,y ?? ???? ?
    ?? ????? q ???? ???? ???? ??? ?? ???? ????

6
???? ???? ?????? ?????
  • ???? ?????? ?? ?? ???? ?????? ??????? ?????
  • ??? ???? ?????? ???? ?
  • ????? ???? ???? ?? ?? ??? ????? ???? ????
  • ???? ???? ????? ??? ???? ???? ?????
  • ???? ????? ????? ??? ???? ???? ?????

7
???? ???? ?????? ?????
  • ??? ?????? ????? ??? ???? ????? ? ???? ???? ?????
    ?? q ???? ? ???? ???? ????? (P) ?????? x,y ????
    ?? ???? ???? ???? ????? ???? ?? ??????? ????
    ????? ???? ?? ???? ???? ????? ??? ???? ???? ?????.

8
???? ???? ?????? ?????
  • ???? ????? ???? ????? ???? ??? ?? ???? ?? ??????
    ???? ???? ?? ???? ?? ???? ????? ????? ???. ????
    ?????? ?? ?????? ????? ??? ??????? ?????.
  • ???? ???? ???? ???? ??? ??? ?????

9
??? ???????? ??????
  • ??? ??? ???? ?????? ????? ? ????? ????? ???? ??
    ????? ????? ???? ????? ????? ????? ????

????? ??? ??? ????? ?? ??? ?? ?? ?? ???? r ???? ?
??????? l ?? ???? P ?? ?? ??? ??? ?? ??? ????
???? ????? ????. ???? ????? ????? ?? q1,q2
??????. ?? ??????? ??? ???????? ?????? ?????
????? ??? ????? ???
10
(No Transcript)
11
????
12
?????? ???????? ??????
  • ???? ?????? ???? ????? ?? ???? ???? ?????? ?????
    ?? ?? ?? ????? ?? ???? ????? ?? ?????? ???? ?
    ????? ?? ?? ???? ???? ????? ??????.
  • ??? ??? ???? ?? ????? ?? ??? ???? X ?? ???? ????
    ???? ???? ???? P ????? ???? ?? ?? ?? ????? ?????
    ??? ????? ???
  • ?? ?? ????? ?? ????? ?????????? ?????? ??? ??
    ????? ?? ?? ?? ??? ????

13
?????? ???????? ??????
  • ????? y. ??? ???? ??? ????? ???.
  • ???? ?????? ????? q ?? ??? ????? ????? ??? ???
    ??? ???? ????? ??? ????? ??? ??? ?? ?? ???? ??
    ????? ???.???? ????? ?? ???? P ????? ????? ???
    ??
  • ?? ???? ????? ???? ??? ?? ?????

?? ????? ??? ????? ??? ????????? ????? ????? ???
????? ???
14
?????? ???????? ??????
  • ?? ??? ????? ????? ?????? ????? ?? ????? ??? ????
    ?????.
  • ?? ???? ??? ???? ????? ???? ????? ????? ??????
    ??? ?? ??????? ???? ?? ?? ??? ?? ???? ???? ?????
    ?? ??? ?? ??? ??????.

15
(No Transcript)
16
(No Transcript)
17
(No Transcript)
18
(No Transcript)
19
(No Transcript)
20
(No Transcript)
21
(No Transcript)
22
(No Transcript)
23
(No Transcript)
24
(No Transcript)
25
Holonomic Robots
26
Nonholonomic systems
  • Nonholonomic systems are characterized by
    constraint equations involving the time
    derivatives of the system conguration variables.
    These equations are non integrable they
    typically arise when the system has less controls
    than configuration variables.
  • For instance a car-like robot has two controls
    (linear and angular velocities) while it moves in
    a 3-dimensional conguration space.
  • As a consequence, any path in the conguration
    space does not necessarily correspond to a
    feasible path for the system. This is basically
    why the purely geometric techniques developed in
    motion planning for holonomic systems do not
    apply directly to nonholonomic ones.

27
???? ??? ????
Nonholonomic Constraint
?? ?? ?????? ?? ?? ??? ???? ? ?? ??? ????? ????
??? ??? ?? ???? ????? ???
28
?????? ?? ?? ??? ????
1
  • ?? ??? ???? ??? ?? ????? holonomic ???

29
????? ???? ???
  • ????? ???? ??? ???? ??????? ????????? ??? ??? ???
    ??????? ?????????? ?????? ????. ??? ?? ????? ????
    ??? ????? holonomic ???.

30
(No Transcript)
31
(No Transcript)
32
(No Transcript)
33
(No Transcript)
34
(No Transcript)
35
(No Transcript)
36
(No Transcript)
37
(No Transcript)
38
(No Transcript)
39
(No Transcript)
40
(No Transcript)
Write a Comment
User Comments (0)
About PowerShow.com