• 【集装箱调度】基于粒子群算法实现考虑重量限制和时间约束的集装箱码头满载AGV自动化调度附matlab代码


    % 交叉定位 - 最小二乘法定位算法模拟

    % 参数设置
    numIterations = 1000; % 模拟迭代次数
    maxDistance = 1000; % 最远定位距离(设定范围)
    speedOfSound = 343; % 声速(单位:m/s)

    % 预警机坐标
    source = [0, 0];

    % 初始化结果
    crbResults = zeros(numIterations, 1);
    rmseResults = zeros(numIterations, 1);

    % 模拟迭代
    for i = 1:numIterations
    % 随机生成无人机坐标
    drone = generateRandomPosition(maxDistance);

    % 计算距离
    distance1 = calculateDistance(source, drone);
    distance2 = calculateDistance(source, drone);
    
    % 添加测量误差
    measurement1 = distance1 + normrnd(0, 1);
    measurement2 = distance2 + normrnd(0, 1);
    
    % 定位算法 - 最小二乘法
    estimatedPosition = leastSquaresLocalization(source, measurement1, measurement2, speedOfSound);
    
    % 计算CRB
    crb = calculateCRB(source, drone, speedOfSound);
    crbResults(i) = crb;
    
    % 计算RMSE
    rmse = norm(estimatedPosition - drone);
    rmseResults(i) = rmse;
    

    end

    % 寻找最远定位距离
    maxDistanceIdx = find(rmseResults == max(rmseResults));
    maxDistanceValue = sqrt(crbResults(maxDistanceIdx));

    % 显示结果
    fprintf(‘最远定位距离:%.2f m\n’, maxDistanceValue);

    % 生成随机位置
    function position = generateRandomPosition(maxDistance)
    angle = rand * 2 * pi;
    distance = rand * maxDistance;
    position = distance * [cos(angle), sin(angle)];
    end

    % 计算距离
    function distance = calculateDistance(source, target)
    distance = norm(target - source);
    end

    % 最小二乘法定位算法
    function estimatedPosition = leastSquaresLocalization(source, measurement1, measurement2, speedOfSound)
    A = 2 * [source(1) - measurement1(1), source(2) - measurement1(2); …
    source(1) - measurement2(1), source(2) - measurement2(2)];
    b = [measurement1(1)^2 - source(1)^2 + measurement1(2)^2 - source(2)^2 - speedOfSound^2 * measurement1(3)^2; …
    measurement2(1)^2 - source(1)^2 + measurement2(2)^2 - source(2)^2 - speedOfSound^2 * measurement2(3)^2];
    estimatedPosition = (A’ * A) \ (A’ * b);
    end

    % 计算CRB(Cramér-Rao下界)
    function crb = calculateCRB(source, target, speedOfSound)
    distance = norm(target - source);
    crb = (speedOfSound^2 / (4 * pi^2)) * (1 / distance)^2;
    end

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  • 原文地址:https://blog.csdn.net/qq_59771180/article/details/139544966