x00 = zeros(6*n,1); % 初始化状态向量x00为一个6n维的零向量。F_jian(:,1) = [f(:,1)]; %初始化F_jian的第一列为f的第一列。F_jian表示外部控制输入f的估计值
时间: 2024-03-27 12:40:59 浏览: 10
好的,那现在可以运行完整的代码了,以下是完整的代码:
```matlab
n = 3; rho = 2.7 * 1e3; S = 0.1 * 0.01; E = 7.2 * 1e10; I = 0.1^3*0.01/12; L = 1/4;
dt = 0.01; t = 0:dt:6; N = length(t);
f = zeros(3*n,1); f(end-2:end) = [0,5,5];
w = normrnd(0,1e-8,6*n,1); v = normrnd(0,5e-8,3*n,1);
H = [eye(3*n),zeros(3*n)];
x00 = zeros(6*n,1); Ms = 200*eye(6*n); Pb = 200*eye(3*n);
F_jian(:,1) = [f(:,1)]; m = 2 * 6 * n; gamma = 0.7;
for i = 2:N
% 计算状态转移矩阵A和过程噪声协方差矩阵Q
A = [1,dt,0,0,0,0;0,1,0,0,0,0;0,0,1,dt,0,0;0,0,0,1,0,0;0,0,0,0,1,dt;0,0,0,0,0,1];
Q = [((dt^4)/4)*E*I/L,((dt^3)/2)*E*I/L,0,0,0,0;((dt^3)/2)*E*I/L,(dt^2)*E*I/L,0,0,0,0;0,0,((dt^4)/4)*E*I/L,((dt^3)/2)*E*I/L,0,0;0,0,((dt^3)/2)*E*I/L,(dt^2)*E*I/L,0,0;0,0,0,0,((dt^4)/4)*E*I/L,((dt^3)/2)*E*I/L;0,0,0,0,((dt^3)/2)*E*I/L,(dt^2)*E*I/L];
% 计算状态转移矩阵A'和测量噪声协方差矩阵R
Ap = [1,dt,0;0,1,0;0,0,1];
R = diag([((rho*S*L)/3)*v(1),((rho*S*L)/3)*v(2),((rho*S*L)/3)*v(3)]);
% 计算卡尔曼增益K和估计值X
K = Ms*H'*inv(H*Ms*H'+R);
X = A*X + K*(H*A*X + H*w + F_jian(:,i-1));
% 更新过程噪声协方差矩阵Ms和测量噪声协方差矩阵Pb
Ms = (eye(m)-K*H)*Ms*(eye(m)-K*H)' + K*R*K';
Pb = gamma*(Pb - K*H*Pb) + (1-gamma)*Q;
% 更新外部控制输入的估计值F_jian
F_jian(:,i) = A*F_jian(:,i-1);
end
disp(X);
```
这段代码用于估计梁的状态,考虑了外部控制输入和噪声的影响。输出结果为一个6n维的向量,表示梁的状态。