Only for the Test 1 which include 4.2 4.3 4.4 
 
Locomotion and Kinematics 运动和运动学
(4.2) Part 2: Wheeled Motion
1. Wheeled Robots
    a. 省略控制双腿需要的计算复杂度 
 
 
 
    b. 只限于easy terrain (地形) 
 
 
 
    c. 不平坦uneven 不规则irregular 的地形需要很多计算 
 
 
 
    d. 轮子的选择根据应用的需要决定 
 
 
 2. Four basic wheel types
 
 
 3. Features / characteristics
 
     
   a. 
     
   Stability of a vehicle is be guaranteed with 3 wheels 
   . 机器人的稳定性需要三个轮子来保证 
  
 
 
    b. Stability is improved by 4 and more wheels 
 
 
 
    c. However, such arrangements with more thanthree contact points are 
  hyperstatic 超固定的 and requirea 
  flexible suspension system 灵活的悬挂系统. 
 
 
  
   d.  
  Bigger wheels 
   allow robot to  
  overcome higher obstacles 
  . 
 
 
 
    e. Combining 
  actuation 驱动 and 
  steering 转向 on one wheel makesthe design complex and 
  adds additional errors forodometry 
 
 
  f. 计算速度 v = 2 r * w/2
r * w/2 = wr
 = wr
 
  
  
 g. Four wheels
       1. 高机动性 难控制 
 
 
 h. Three wheels
 
       1. Differential drive 差速器驱动器 
    plus caster 脚轮 or omnidirectional wheel.  
  
 
   
            Highly manoeuvrable, but limited to moving forwards/ backwards and rotating 高机动性,但仅限制于向前、向后和转向 
  
   
 
       2.  
  Connected drive wheels at rear,  
  steered wheel at front 前面是转向轮,后面是驱动轮 
 
 
 
       3.  
  Two free wheels in rear, 
  steered 
  drive wheel in front. 后轮是自由的, 前轮是需要操纵的 
 
 
  
 
 (4.3)Part 3: Two wheeled Vehicles and Manoeuvrability
1. Two Wheels
 
    Steering wheel 
    at front, drive wheel at back.  
  
 
   
     
   Stability issues, not that common  
  
 
   
     
   Differential drive  
  
 
   
     
   Turning achieved by varying the individual velocity / speed of each wheel  
  
 
  
    转向通过改变单个轮胎的速度来实现 
  
 
   
     
   Centre of mass above or below axle 
  
 
  
   Highly manoeuvrable, but limited to moving forwards/ backwards and rotating 高机动性,但仅限制于向前、向后和转向 
 
 
  2. Degree of mobility
 2. Degree of mobility
 
  
   the number of  
   independent  
   fixed or steerable standard wheels  
  
 
   
   简而言之,就是独立固定的或者是可操纵的轮胎 
  
 
  例子1:differential drive 什么差速器

 
 
  例子2:tricycle 三轮车

例子3:bicycle 自行车

3. Mobility vs Steerability
 
 
 4. Degree of Steerability
 
 
 5. Degree of Manoeuvrability
 
 
 
   机器人可以通过改变车轮的速度(直接移动)和车轮的方向(间接移动)来操纵的整体自由度 
 
 
  
 
   两个具有相同 manoeuvrability 特性的机器人并不一定是相等的,但由于可移动性或可操纵性,它们可以以不同的方式进行操纵 
 
 
  
 
 
   6. Non-Holonomic Constraints 非人体工程学约束 
 
 
  
 
 (4.4)Part 4 Kinematics of Differential Drives
 
   So far we have looked at different kinds of motion in a qualitative way  
  
 
   
   •  
   One way to program robots to move is  
   trial and error 试错法 反复实验 
  
 
 1.定义:
 
   A somewhat better way is to establish mathematically how the robot  
   should 
    move, this is  
   kinematics  
  
 
   
   
   •  
   Rather  
   kinematics 
    is the business of figuring how a robot will move if it’s motors work in a given way.  
  
 
   
   运动学的任务是计算如果机器人的马达在特定的方式工作,它将如何移动  
  
 
  
    固定马达----计算移动 
  
 
   
   
   •  
   Inverse-kinematics 
    then tells us how to move the motors to get the robot to do what we want. 
  
 
 
   然后,逆运动学告诉我们如何移动马达来让机器人去做我们想做的事情 
 
 
 
   改变马达-----促使移动 
 
 
  
  
 
 
   没有横向移动条件下的转向 
 
 
  
 
   31 / 54 明天在学 学闷了 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  



















