请你帮我编写能生成惯导和里程计的原始数据的MATLAB程序,要求数据真实可靠
时间: 2023-05-27 13:01:21 浏览: 96
IE处理惯导数据的方法.pdf
对于惯导数据,需要模拟三轴陀螺仪和加速度计的输出。可以使用以下代码来模拟:
```
% Set up parameters
dt = 0.01; % Time step
t = 0:dt:10; % Time vector
gyro_bias = [0.01; 0.02; 0.03]; % Gyro bias
gyro_noise_sd = [0.01; 0.01; 0.01]; % Gyro noise standard deviation
accel_bias = [0.1; 0.1; 0.1]; % Accelerometer bias
accel_noise_sd = [0.01; 0.01; 0.01]; % Accelerometer noise standard deviation
% Initialize values
gyro = zeros(3,length(t));
accel = zeros(3,length(t));
gyro(:,1) = [0.1; -0.2; 0.3];
accel(:,1) = [0; 0; 9.81];
% Generate data
for i = 2:length(t)
% Simulate gyro output
gyro(:,i) = gyro(:,i-1) + dt*(gyro_bias + randn(3,1).*gyro_noise_sd);
% Simulate accelerometer output
accel(:,i) = R(:,i-1)*accel(:,i-1) + [0; 0; 9.81] + accel_bias + randn(3,1).*accel_noise_sdi);
end
```
其中,`gyro_bias`和`gyro_noise_sd`分别是陀螺仪的偏差和噪声标准差,`accel_bias`和`accel_noise_sd`分别是加速度计的偏差和噪声标准差。`R`是一个旋转矩阵,用于将加速度计的输出转换为惯性坐标系下的加速度。
对于里程计数据,可以使用以下代码来模拟:
```
% Set up parameters
dt = 0.01; % Time step
t = 0:dt:10; % Time vector
wheel_radius = 0.3; % Wheel radius
wheel_base = 1; % Wheelbase
encoder_resolution = 1000; % Encoder resolution
encoder_noise_sd = 0.1; % Encoder noise standard deviation
% Initialize values
x = zeros(3,length(t));
x(:,1) = [0; 0; pi/4]; % Initial position and orientation
% Generate data
for i = 2:length(t)
% Simulate forward and angular velocity
V = 2 + i*dt; % Forward velocity
omega = pi/4; % Angular velocity
% Simulate encoder readings
dL = V*dt + randn()*encoder_noise_sd; % Left wheel displacement
dR = V*dt + randn()*encoder_noise_sd; % Right wheel displacement
% Calculate robot motion
dS = (dL + dR)/2; % Robot displacement
dTheta = (dR - dL)/wheel_base; % Robot orientation change
dx = dS*cos(x(3)+dTheta/2); % x coordinate change
dy = dS*sin(x(3)+dTheta/2); % y coordinate change
% Update robot pose
x(:,i) = x(:,i-1) + [dx; dy; dTheta];
end
```
其中,`wheel_radius`和`wheel_base`分别是轮子的半径和轮距,`encoder_resolution`是编码器的分辨率,`encoder_noise_sd`是编码器的噪声标准差。`dL`和`dR`分别是左轮和右轮的位移,根据这两个值可以计算出机器人的位移和方向变化,并更新机器人的位置和姿态。
阅读全文