From 4d9df15ec8341d667ec1decc3ae67cbcc56b5bb3 Mon Sep 17 00:00:00 2001 From: ZhaiShuaiShuai <18264798931@163.com> Date: Wed, 23 Apr 2025 11:51:06 +0800 Subject: [PATCH] =?UTF-8?q?=E5=A4=9A=E7=A7=8D=E5=8D=A1=E5=B0=94=E6=9B=BC?= =?UTF-8?q?=E6=BB=A4=E6=B3=A2=E5=99=A8=E7=9A=84=E5=8F=82=E8=80=83=E4=BB=A3?= =?UTF-8?q?=E7=A0=81?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Code/Matlab/AOA-IMU/RUN_AEKF.m | 580 ++++++++++++++++++++++++++++++ Code/Matlab/AOA-IMU/WLS.m | 33 ++ Code/Matlab/AOA-IMU/data1.mat | Bin 0 -> 692277 bytes Code/Matlab/AOA-IMU/fun1.m | 28 ++ Code/Matlab/AOA-IMU/script.m | 36 ++ Code/Matlab/AOA-IMU/script_aekf.m | 199 ++++++++++ Code/Matlab/AOA-IMU/script_ekf.m | 342 ++++++++++++++++++ Code/Matlab/AOA-IMU/script_kf.m | 155 ++++++++ 8 files changed, 1373 insertions(+) create mode 100644 Code/Matlab/AOA-IMU/RUN_AEKF.m create mode 100644 Code/Matlab/AOA-IMU/WLS.m create mode 100644 Code/Matlab/AOA-IMU/data1.mat create mode 100644 Code/Matlab/AOA-IMU/fun1.m create mode 100644 Code/Matlab/AOA-IMU/script.m create mode 100644 Code/Matlab/AOA-IMU/script_aekf.m create mode 100644 Code/Matlab/AOA-IMU/script_ekf.m create mode 100644 Code/Matlab/AOA-IMU/script_kf.m diff --git a/Code/Matlab/AOA-IMU/RUN_AEKF.m b/Code/Matlab/AOA-IMU/RUN_AEKF.m new file mode 100644 index 0000000..a64e542 --- /dev/null +++ b/Code/Matlab/AOA-IMU/RUN_AEKF.m @@ -0,0 +1,580 @@ +clear +clc +close all +load('data1.mat'); +nn = size(imuPosX,1); +%% lightHouse坐标系转换 +x = lightHousePosX * 100; +y = -lightHousePosZ * 100; + +% 定义误差函数,即均方根误差 +errorFunction = @(params) sqrt(mean((x(1:500) * cos(params(1)) - y(1:500) * sin(params(1)) + params(2) - imuPosX(1:500)).^2 + (x(1:500) * sin(params(1)) + y(1:500) * cos(params(1)) + params(3) - imuPosY(1:500)).^2)); + +% 使用 fminsearch 优化误差函数,找到使误差最小的旋转角和位移 +initialGuess = [0, 10, 10]; % 初始猜测值,[旋转角, 位移] +optimizedParams = fminsearch(errorFunction, initialGuess); + +% 输出优化后的旋转角和位移 +rotationAngle = optimizedParams(1); +xOffset = optimizedParams(2); +yOffset = optimizedParams(3); +% 旋转坐标 +xt = x * cos(rotationAngle) - y * sin(rotationAngle) + xOffset; +yt = x * sin(rotationAngle) + y * cos(rotationAngle) + yOffset; +%% +tagN = 4; +%标签坐标 +XN(:,1)=[-300;-300]; +XN(:,2)=[-300;300]; +XN(:,3)=[300;300]; +XN(:,4)=[300;-300]; +sim2=6; +Q=diag(repmat(sim2,1,2*tagN));%协方差矩阵 +measure_AOA = zeros(4,nn); +measure_d = zeros(4,nn); +measure_AOA(1,:) = aoa1'; +measure_AOA(2,:) = aoa2'; +measure_AOA(3,:) = aoa3'; +measure_AOA(4,:) = aoa4'; +measure_d(1,:) = d1'; +measure_d(2,:) = d2'; +measure_d(3,:) = d3'; +measure_d(4,:) = d4'; +%% uwb解算 +x_uwb(1) = 0; +y_uwb(1) = 0; +theta_uwb=zeros(nn,1); +for i=2:nn + if measure_d(1,i) == 0 + x_uwb(i) = x_uwb(i-1); + y_uwb(i) = y_uwb(i-1); + continue; + end + [t1,theta] = WLS(XN,measure_AOA(:,i),measure_d(:,i),Q); + x_uwb(i) = t1(1); + y_uwb(i) = t1(2); + theta_uwb(i) = 90-theta; + theta_uwb(i) = mod(theta_uwb(i)+180,360)-180; + derr_WLS(i)=norm(t1-[xt(i);yt(i)]); +end +thetat=zeros(nn,1); +for i=2:nn +detx=xt(i)-xt(i-1); +dety=yt(i)-yt(i-1); +thetat(i)=atan2d(detx,dety); +end +% Uwb.x=x_uwb; +% Uwb.y=y_uwb; +% Uwb.alpha=theta_uwb; + + +% 角速度校准 +detW = mean(wZ(1:200)); +wZ = wZ - detW; + +x_imu(1) = 0; +y_imu(1) = 0; +Z=zeros(3,1); +WW = 0.05; +theta_imu(1) = 0; + + +% +% Imu.x=x_imu; +% Imu.y=y_imu; +% Imu.v=v_imu; +% Imu.alpha=alpha_imu; +% Imu.omega=omega_imu; + +%% KF +R = diag([1 1 1]); +% qq = 1; +qq = 0.00001; +Q1 = diag([qq qq qq qq qq]); +P0 = diag([0 0 0 0 0]); +H = [1 0 0 0 0; + 0 1 0 0 0; + 0 0 0 1 0]; +I = eye(5); +JF = zeros(5,5); +X_pre = zeros(5,nn); +X_kf(:,1) = [imuPosX(1);imuPosY(1);vXY(1)*100;0;wZ(1)]; +for i=2:nn + % 计算IMU和里程计的时间差值 + detImuTime = imuDataRxTime(i) - imuDataRxTime(i-1); + detOdomTime = odomDataRxTime(i)-odomDataRxTime(i-1); + % 获得此时Z轴角速度 + w = wZ(i); + % 获得小车的水平速度 + v = vXY(i)*100; + % 计算速度增量 + detV=(vXY(i)-vXY(i-1))*100; + % 计算位置增量 + detD = v*detImuTime; + % 计算角度增量 + detTheta = w*180/pi*detImuTime; + % 计算角速度的变化量 + detW = w-wZ(i-1); + % 积分计算IMU的航位角 + theta_imu(i) = theta_imu(i-1)+detTheta; + % 航向约束 + theta_imu(i) = mod(theta_imu(i)+180,360)-180; + + % 状态更新方程 + F = [1 0 detImuTime*cosd(X_kf(4,i-1)) 0 0; + 0 1 detImuTime*sind(X_kf(4,i-1)) 0 0; + 0 0 0 0 0; + 0 0 0 0 0; + 0 0 0 0 0;]; + % 获得水平和垂直方向的位置增量 + vtx = detD*cosd(theta_imu(i)); + vty = detD*sind(theta_imu(i)); + + x_imu(i) = x_imu(i-1)+vtx; + y_imu(i) = y_imu(i-1)+vty; + + X_next = [vtx;vty;detV;detTheta;detW]; + if (x_uwb(i) == x_uwb(i-1))&&(y_uwb(i) == y_uwb(i-1)) + X_kf(:,i) = X_kf(:,i-1)+X_next; + errKf(i) = norm(X_kf(1:2,i)-[xt(i);yt(i)]); + theta_kf(i) = X_kf(4,i); + continue + end + X_pre(:,i) = X_kf(:,i-1)+X_next; + Z = [x_uwb(i);y_uwb(i);theta_uwb(i)]; + P = F*P0*F'+Q1; + Kg_kf = P*H'*inv(H*P*H'+R); + X_kf(:,i) = X_pre(:,i)+Kg_kf*(Z-H*X_pre(:,i)); + P0 = (I-Kg_kf*H)*P; + + errKf(i) = norm(X_kf(1:2,i)-[xt(i);yt(i)]); + theta_kf(i) = X_kf(4,i); +end + + + + +%% EKF +R = diag([1 1 1]); +% qq = 1; +qq = 0.00001; +Q1 = diag([qq qq qq qq qq]); +P0 = diag([0 0 0 0 0]); +H = [1 0 0 0 0; + 0 1 0 0 0; + 0 0 0 1 0]; +KK = zeros(5,3); +X_ekf(:,1) = [imuPosX(1);imuPosY(1);vXY(1)*100;0;wZ(1)]; +I = eye(5); +JF = zeros(5,5); +X_pre = zeros(5,nn); + +for i=2:nn + detImuTime = imuDataRxTime(i) - imuDataRxTime(i-1); + detOdomTime = odomDataRxTime(i)-odomDataRxTime(i-1); + w = wZ(i); + v = vXY(i)*100; + detV=(vXY(i)-vXY(i-1))*100; + detD = v*detImuTime; + detTheta = w*180/pi*detImuTime; + detW = w-wZ(i-1); + theta_imu(i) = theta_imu(i-1)+detTheta; + theta_imu(i) = mod(theta_imu(i)+180,360)-180; + F = [1 0 detImuTime*cosd(X_ekf(4,i-1)) 0 0; + 0 1 detImuTime*sind(X_ekf(4,i-1)) 0 0; + 0 0 0 0 0; + 0 0 0 0 0; + 0 0 0 0 0;]; + if w15 + % xxx = 1; + % end +end +errAEKf_sw=zeros(1,nn); +weightedvector=[0.3;0.25;0.2;0.15;0.1]; +for i=1:nn +if i>windowlength-1 + x_win=X_aekf(1,i-windowlength+1:i); + y_win=X_aekf(2,i-windowlength+1:i); + x_aekf_sw(i)=x_win*weightedvector; + y_aekf_sw(i)=y_win*weightedvector; +else + x_aekf_sw(i)=X_aekf(1,i); + y_aekf_sw(i)=X_aekf(2,i); +end +errAEKf_sw(i) = norm([x_aekf_sw(i);y_aekf_sw(i)]-[xt(i);yt(i)]); +end + +figure; +plot(errAEKf_sw); + +%% +for i=2:length(theta_uwb)-1 + if theta_uwb(i) == 0 + theta_uwb(i) = theta_uwb(i-1); + end +end +figure(1) +clf(1) +plot(x_uwb,y_uwb,'.','color',[205/255, 133/255, 63/255],'LineWidth',0.2);hold on +plot(x_imu, y_imu, '-','color',[0, 128/255, 0],'LineWidth',0.5); +plot(xt, yt, '-black','LineWidth',0.5); +legend('AUAM','IMU','True value'); +xlabel('X(cm)'); +ylabel('Y(cm)'); +grid on + + + +% figure(1) +% clf(1) +% hold on +% plot((1:nn)/100,thetat,'-black','LineWidth',1); +% plot((1:nn)/100,theta_uwb,'-','color','#CD853F','LineWidth',1); +% plot((1:nn)/100,theta_imu, '-','color','#008000','LineWidth',1); +% legend('LightHouse','UWB', 'INS'); +% xlabel('time(s)'); +% ylabel('\alpha(°)'); +% grid on + +% figure(2) +% clf(2) +% hold on +% plot(theta_imu,'.'); +% plot(theta_uwb,'.'); +% legend('imu','uwb'); +% xlabel('运行时间(10ms)'); +% ylabel('偏航角(°)'); +% title('角速度校准后imu和uwb测量偏航角'); +% grid on +% +% figure(3) +% clf(3) +% hold on +% plot(xt, yt, '.-black','LineWidth',1); +% plot(X_ekf(1,:), X_ekf(2,:), '.-','color','#7E2F8E','LineWidth',1); +% plot(X_aekf(1,:), X_aekf(2,:), '.-','color','#D95319','LineWidth',0.5) +% plot(x_aekf_sw, y_aekf_sw, '.-','color','#2E8B57','LineWidth',0.5) +% legend('True','EKF', 'AEKF', 'AEKF-SWF'); +% xlabel('x(cm)'); +% ylabel('y(cm)'); +% grid on +% +% figure(4) +% clf(4) +% hold on +% plot(errKf,'.','color','#0072BD'); +% plot(errEKf,'.','color','#EDB120'); +% plot(errUKf,'.','color','#D95319'); +% plot(errAEKf,'.','color','#7E2F8E'); +% plot(errAEKf_sw,'.','color','#77AC30'); +% legend('KF','EKF','UKF','AEKF','AEKF-SWF'); +% xlabel('运行时间(10ms)'); +% ylabel('误差(cm)'); +% title('定位误差随时间变化图'); + +% slt = 1; +% uwbcount = 9; +% imucount = 15; +% ekfcount = 12; +% aekfcount = 5; +% figure(5) +% clf(5) +% hold on +% [fUWB,xUWB] = ksdensity(errUwb(slt:end)); +% [fIMU,xIMU] = ksdensity(errImu(slt:end)); +% [fAEKF,xAEKF] = ksdensity(errAEKf(slt:end)); +% [fUKF,xUKF] = ksdensity(errUKf(slt:end)); +% [fAEKF_sw,xAEKF_sw] = ksdensity(errAEKf_sw(slt:end)); +% [fEKF,xEKF] = ksdensity(errEKf(slt:end)); +% [fKF,xKF] = ksdensity(errKf(slt:end)); +% plot(xKF(ekfcount:end),fKF(ekfcount:end), 'color','#0072BD','LineWidth',0.5); +% plot(xEKF(ekfcount:end),fEKF(ekfcount:end),'color','#EDB120','LineWidth',0.5); +% plot(xUKF(ekfcount:end), fUKF(ekfcount:end),'color','#D95319','LineWidth',0.5); +% plot(xAEKF(aekfcount:end),fAEKF(aekfcount:end),'color','#7E2F8E','LineWidth',0.5); +% plot(xAEKF_sw(aekfcount:end),fAEKF_sw(aekfcount:end), 'color','#77AC30','LineWidth',0.5) +% legend('KF','EKF','UKF','AEKF','AEKF-SWF');%'UWB','INS', +% xlabel('Error(cm)'); +% ylabel('Probability(%)'); +% grid on +% +% +% +% slt = 3000; +% uwbcount = 9; +% imucount = 9; +% ekfcount = 13; +% aekfcount = 7; +% figure(6) +% clf(6) +% hold on +% [fAEKF,xAEKF] = ksdensity(errAEKf(slt:end)); +% [fUKF,xUKF] = ksdensity(errUKf(slt:end)); +% [fAEKF_sw,xAEKF_sw] = ksdensity(errAEKf_sw(slt:end)); +% [fEKF,xEKF] = ksdensity(errEKf(slt:end)); +% [fKF,xKF] = ksdensity(errKf(slt:end)); +% plot(xKF(ekfcount:end),fKF(ekfcount:end), 'color','#0072BD','LineWidth',0.5); +% plot(xEKF(ekfcount:end),fEKF(ekfcount:end),'color','#EDB120','LineWidth',0.5); +% plot(xUKF(ekfcount:end), fUKF(ekfcount:end),'color','#D95319','LineWidth',0.5); +% plot(xAEKF(aekfcount:end),fAEKF(aekfcount:end),'color','#7E2F8E','LineWidth',0.5); +% plot(xAEKF_sw(aekfcount:end),fAEKF_sw(aekfcount:end), 'color','#77AC30','LineWidth',0.5) +% legend('KF','EKF','UKF','AEKF','AEKF-SWF');%'UWB','INS', +% xlabel('Error(cm)'); +% ylabel('PDF'); +% grid on +% +% figure(7) +% clf(7) +% hold on +% h1 = cdfplot(errKf(slt:end)); +% h2 = cdfplot(errEKf(slt:end)); +% h3 = cdfplot(errUKf(slt:end)); +% h4 = cdfplot(errAEKf(slt:end)); +% h5 = cdfplot(errAEKf_sw(slt:end)); +% set(h1,'color','#0072BD','LineWidth',0.5); +% set(h2,'color','#EDB120','LineWidth',0.5); +% set(h3,'color','#D95319','LineWidth',0.5); +% set(h4,'color','#7E2F8E','LineWidth',0.5); +% set(h5,'color','#77AC30','LineWidth',0.5); +% legend('KF','EKF','UKF','AEKF','AEKF-SWF'); +% xlabel('Error(cm)'); +% ylabel('CDF'); +% grid on \ No newline at end of file diff --git a/Code/Matlab/AOA-IMU/WLS.m b/Code/Matlab/AOA-IMU/WLS.m new file mode 100644 index 0000000..f744c9a --- /dev/null +++ b/Code/Matlab/AOA-IMU/WLS.m @@ -0,0 +1,33 @@ +function [x,theta] = WLS(XN,mean_aoa,mean_d,Q) +%PLE 此处显示有关此函数的摘要 +% 此处显示详细说明 +nn = size(XN,2); +A = zeros(2*nn, 6); +b = zeros(2*nn, 1); +for j=1:nn + XN_Tag(1,j)=mean_d(j)*sind(mean_aoa(j)); + XN_Tag(2,j)=mean_d(j)*cosd(mean_aoa(j)); + A(2*j-1,:) = [XN_Tag(1,j) 0 XN_Tag(2,j) 0 1 0]; + A(2*j,:) = [0 XN_Tag(1,j) 0 XN_Tag(2,j) 0 1]; + b(2*j-1:2*j)=[XN(1,j) XN(2,j)]; +end +f=(A'*A)^(-1)*A'*b; +for i=1:2 + for j=1:nn + B(2*j-1,2*j-1) = XN(2,j)-f(6); + B(2*j,2*j) = 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+ % end +end +errAEKf_sw=zeros(1,nn); +weightedvector=[0.3;0.25;0.2;0.15;0.1]; +for i=1:nn +if i>windowlength-1 + x_win=X_aekf(1,i-windowlength+1:i); + y_win=X_aekf(2,i-windowlength+1:i); + x_aekf_sw(i)=x_win*weightedvector; + y_aekf_sw(i)=y_win*weightedvector; +else + x_aekf_sw(i)=X_aekf(1,i); + y_aekf_sw(i)=X_aekf(2,i); +end +errAEKf_sw(i) = norm([x_aekf_sw(i);y_aekf_sw(i)]-[xt(i);yt(i)]); +end + +figure; +plot(errAEKf_sw); +figure; +plot(x_imu,y_imu,xt,yt); +mean(errAEKf_sw) + + + diff --git a/Code/Matlab/AOA-IMU/script_ekf.m b/Code/Matlab/AOA-IMU/script_ekf.m new file mode 100644 index 0000000..bc8a612 --- /dev/null +++ b/Code/Matlab/AOA-IMU/script_ekf.m @@ -0,0 +1,342 @@ +clear +clc +close all +load('data1.mat'); +nn = size(imuPosX,1); +%% lightHouse坐标系转换 +x = lightHousePosX * 100; +y = -lightHousePosZ * 100; + +% 定义误差函数,即均方根误差 +errorFunction = @(params) sqrt(mean((x(1:500) * cos(params(1)) - y(1:500) * sin(params(1)) + params(2) - imuPosX(1:500)).^2 + (x(1:500) * sin(params(1)) + y(1:500) * cos(params(1)) + params(3) - imuPosY(1:500)).^2)); + +% 使用 fminsearch 优化误差函数,找到使误差最小的旋转角和位移 +initialGuess = [0, 10, 10]; % 初始猜测值,[旋转角, 位移] +optimizedParams = fminsearch(errorFunction, initialGuess); + +% 输出优化后的旋转角和位移 +rotationAngle = optimizedParams(1); +xOffset = optimizedParams(2); +yOffset = optimizedParams(3); +% 旋转坐标 +xt = x * cos(rotationAngle) - y * sin(rotationAngle) + xOffset; +yt = x * sin(rotationAngle) + y * cos(rotationAngle) + yOffset; +%% +tagN = 4; +%标签坐标 +XN(:,1)=[-300;-300]; +XN(:,2)=[-300;300]; +XN(:,3)=[300;300]; +XN(:,4)=[300;-300]; +sim2=6; +Q=diag(repmat(sim2,1,2*tagN));%协方差矩阵 +measure_AOA = zeros(4,nn); +measure_d = zeros(4,nn); +measure_AOA(1,:) = aoa1'; +measure_AOA(2,:) = aoa2'; +measure_AOA(3,:) = aoa3'; +measure_AOA(4,:) = aoa4'; +measure_d(1,:) = d1'; +measure_d(2,:) = d2'; +measure_d(3,:) = d3'; +measure_d(4,:) = d4'; +%% uwb解算 +x_uwb(1) = 0; +y_uwb(1) = 0; +theta_uwb=zeros(nn,1); +for i=2:nn + if measure_d(1,i) == 0 + x_uwb(i) = x_uwb(i-1); + y_uwb(i) = y_uwb(i-1); + continue; + end + [t1,theta] = WLS(XN,measure_AOA(:,i),measure_d(:,i),Q); + x_uwb(i) = t1(1); + y_uwb(i) = t1(2); + theta_uwb(i) = 90-theta; + theta_uwb(i) = mod(theta_uwb(i)+180,360)-180; + derr_WLS(i)=norm(t1-[xt(i);yt(i)]); +end +thetat=zeros(nn,1); +for i=2:nn +detx=xt(i)-xt(i-1); +dety=yt(i)-yt(i-1); +thetat(i)=atan2d(detx,dety); +end +% Uwb.x=x_uwb; +% Uwb.y=y_uwb; +% Uwb.alpha=theta_uwb; + + +% 角速度校准 +detW = mean(wZ(1:200)); +wZ = wZ - detW; + +x_imu(1) = 0; +y_imu(1) = 0; +Z=zeros(3,1); +WW = 0.05; +theta_imu(1) = 0; + + +% +% Imu.x=x_imu; +% Imu.y=y_imu; +% Imu.v=v_imu; +% Imu.alpha=alpha_imu; +% Imu.omega=omega_imu; + +%% KF +R = diag([1 1 1]); +% qq = 1; +qq = 0.00001; +Q1 = diag([qq qq qq qq qq]); +P0 = diag([0 0 0 0 0]); +H = [1 0 0 0 0; + 0 1 0 0 0; + 0 0 0 1 0]; +I = eye(5); +JF = zeros(5,5); +X_pre = zeros(5,nn); +X_kf(:,1) = [imuPosX(1);imuPosY(1);vXY(1)*100;0;wZ(1)]; +for i=2:nn + % 计算IMU和里程计的时间差值 + detImuTime = imuDataRxTime(i) - imuDataRxTime(i-1); + detOdomTime = odomDataRxTime(i)-odomDataRxTime(i-1); + % 获得此时Z轴角速度 + w = wZ(i); + % 获得小车的水平速度 + v = vXY(i)*100; + % 计算速度增量 + detV=(vXY(i)-vXY(i-1))*100; + % 计算位置增量 + detD = v*detImuTime; + % 计算角度增量 + detTheta = w*180/pi*detImuTime; + % 计算角速度的变化量 + detW = w-wZ(i-1); + % 积分计算IMU的航位角 + theta_imu(i) = theta_imu(i-1)+detTheta; + % 航向约束 + theta_imu(i) = mod(theta_imu(i)+180,360)-180; + + % 状态更新方程 + F = [1 0 detImuTime*cosd(X_kf(4,i-1)) 0 0; + 0 1 detImuTime*sind(X_kf(4,i-1)) 0 0; + 0 0 0 0 0; + 0 0 0 0 0; + 0 0 0 0 0;]; + % 获得水平和垂直方向的位置增量 + vtx = detD*cosd(theta_imu(i)); + vty = detD*sind(theta_imu(i)); + + x_imu(i) = x_imu(i-1)+vtx; + y_imu(i) = y_imu(i-1)+vty; + + X_next = [vtx;vty;detV;detTheta;detW]; + if (x_uwb(i) == x_uwb(i-1))&&(y_uwb(i) == y_uwb(i-1)) + X_kf(:,i) = X_kf(:,i-1)+X_next; + errKf(i) = norm(X_kf(1:2,i)-[xt(i);yt(i)]); + theta_kf(i) = X_kf(4,i); + continue + end + X_pre(:,i) = X_kf(:,i-1)+X_next; + Z = [x_uwb(i);y_uwb(i);theta_uwb(i)]; + P = F*P0*F'+Q1; + Kg_kf = P*H'*inv(H*P*H'+R); + X_kf(:,i) = X_pre(:,i)+Kg_kf*(Z-H*X_pre(:,i)); + P0 = (I-Kg_kf*H)*P; + + errKf(i) = norm(X_kf(1:2,i)-[xt(i);yt(i)]); + theta_kf(i) = X_kf(4,i); +end + + + + +%% EKF +R = diag([1 1 1]); +% qq = 1; +qq = 0.00001; +Q1 = diag([qq qq qq qq qq]); +P0 = diag([0 0 0 0 0]); +H = [1 0 0 0 0; + 0 1 0 0 0; + 0 0 0 1 0]; +KK = zeros(5,3); +X_ekf(:,1) = [imuPosX(1);imuPosY(1);vXY(1)*100;0;wZ(1)]; +I = eye(5); +JF = zeros(5,5); +X_pre = zeros(5,nn); + +for i=2:nn + detImuTime = imuDataRxTime(i) - imuDataRxTime(i-1); + detOdomTime = odomDataRxTime(i)-odomDataRxTime(i-1); + w = wZ(i); + v = vXY(i)*100; + detV=(vXY(i)-vXY(i-1))*100; + detD = v*detImuTime; + detTheta = w*180/pi*detImuTime; + detW = w-wZ(i-1); + theta_imu(i) = theta_imu(i-1)+detTheta; + theta_imu(i) = mod(theta_imu(i)+180,360)-180; + F = [1 0 detImuTime*cosd(X_ekf(4,i-1)) 0 0; + 0 1 detImuTime*sind(X_ekf(4,i-1)) 0 0; + 0 0 0 0 0; + 0 0 0 0 0; + 0 0 0 0 0;]; + if w