已知十个无人机目标的三维坐标和威胁度,子母导弹的母舱飞行速度为500m/s,视场角15°,有效探测距离5km,子拦截弹以纯比例导引律进行制导,比例系数为3,母舱释放子拦截弹与子拦截弹稳定跟踪目标所需总时间为2s,计算出集群威胁重心后在距集群“重心3371m处坐标为(45841,3568,8006)释放子拦截弹,仿真步长0.001s,基于matlab建立仿真绘图代码
时间: 2024-02-26 09:53:06 浏览: 20
以下是基于Matlab的仿真绘图代码,供您参考:
```matlab
% 定义常量
v = 500; % 母舱飞行速度,单位m/s
fov = 15; % 视场角,单位°
R = 5000; % 有效探测距离,单位m
k = 3; % 比例系数
t_track = 2; % 母舱释放子拦截弹与子拦截弹稳定跟踪目标所需总时间,单位s
dt = 0.001; % 仿真步长,单位s
% 定义目标坐标和威胁度
targets = [x1, y1, z1, w1;
x2, y2, z2, w2;
...
x10, y10, z10, w10];
% 计算集群重心坐标
w_sum = sum(targets(:, 4));
x_cg = sum(targets(:, 1) .* targets(:, 4)) / w_sum;
y_cg = sum(targets(:, 2) .* targets(:, 4)) / w_sum;
z_cg = sum(targets(:, 3) .* targets(:, 4)) / w_sum;
% 计算子拦截弹发射角度和发射时刻
deltas = targets(:, 1:3) - [x_cg, y_cg, z_cg];
deltas_norm = vecnorm(deltas, 2, 2);
angles = acosd(dot(deltas, [1, 0, 0], 2) ./ deltas_norm);
idx = find(angles <= fov/2 & deltas_norm <= R);
if isempty(idx)
error('No target in sight.');
elseif length(idx) > 1
[~, idx_min] = min(targets(idx, 4));
idx = idx(idx_min);
end
delta = deltas(idx, :);
delta_norm = deltas_norm(idx);
v_para = v * cosd(angles(idx));
t_launch = delta_norm / v_para;
% 计算子拦截弹制导量和制导时间
t_guide = linspace(t_launch, t_launch + t_track, t_track/dt);
delta_guide = delta .* k ./ (v_para * t_guide');
% 计算子拦截弹稳定跟踪时间和轨迹
t_stable = t_launch + t_track/2;
delta_stable = delta_guide(round(t_stable/dt), :);
x_stable = linspace(x_cg, x_cg + delta_stable(1), t_track/dt);
y_stable = linspace(y_cg, y_cg + delta_stable(2), t_track/dt);
z_stable = linspace(z_cg, z_cg + delta_stable(3), t_track/dt);
% 绘制图像
figure;
plot3(targets(:, 1), targets(:, 2), targets(:, 3), 'r*');
hold on;
plot3(x_cg, y_cg, z_cg, 'bo');
plot3(x_stable, y_stable, z_stable, 'g');
plot3(x_cg + delta(1), y_cg + delta(2), z_cg + delta(3), 'ko');
xlabel('x');
ylabel('y');
zlabel('z');
title('Interception Simulation');
legend('Targets', 'Cluster CG', 'Interceptor Trajectory', 'Interceptor Launch Point');
axis equal;
grid on;
```
其中,`x1, y1, z1, w1` 到 `x10, y10, z10, w10` 分别表示十个无人机目标的三维坐标和威胁度。在运行代码前,需要将这些变量替换为实际的值。运行后,会生成一个三维图像,显示出目标、集群重心、拦截弹轨迹和发射点等信息。